In a village of 320 adults, each of them does at least farming or trading. 5/8 of them do farming and 75% of these who do farming are involved in trading. a. Find the number of people who are involved in: i. Farming ii. Trading. b. How many of the people are involved in exactly two activities?
c. Find the number of people who do only one activity.
d. What percentage of the people are traders only?
e. What is the probability of selecting an adult from the village at random who is a farmer but not a trader?

Answers

Answer 1

Answer:

please see answers below

Step-by-step explanation:

i) 5/8  X 320 = 200 people

ii) 0.75 X 200 = 150 (people in farming but also trade). only trade = 320 - 200 = 120.

number of people in trade = 150 + 120 = 270.

b) 0.75 X 5/8 = 3/4 X 5/8 = 15/32 = 150 people (both farm and trade).

c) only farming = 0.25 X 5/8 = 1/4 X 5/8 = 5/32 = 50.

only trade = 320 - 50 (only farm) - 150 (both farm and trade) = 120.

so, only do one activity = 50 + 120 = 170.

d) traders only = 120/320 = 3/8 = 37.5%

e) P(farmer only) = 50/320 = 0.15625


Related Questions

HELP! Can someone please help with the picture question below?

Answers

The probability that either event A or B will occur is 11/17.

We have,

The Addition Rule for Probability:

P(A U B) = P(A) + P(B) - P(A ∩ B),

where P(A U B) represents the probability of the union of events A and B, P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A ∩ B) represents the probability of the intersection of events A and B.

Now,

P(A) = 9/17

P(B) = 2/17

There is no intersection of Q and B so,

P(A ∩ B) = 0

Now,

P(A U B) = P(A) + P(B) - P(A ∩ B),

Substituting the values.

P(A U B) = The probability that either event A or B will occur.

So,

P(A U B)

= 9/17 + 2/17 - 0

= 11/17

Thus,

The probability that either event A or B will occur is 11/17.

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The equation 5/3log4(x)=9 can be written in the form x=2^y for some number y. What is y?

Answers

The value of y is 10.8.

Here, we have,

given that,

The equation is: 5/3log_4(x)=9

or, 5 log₄x = 27

or, log₄x = 27/5

now, we have,

Using the property, x = loga, a = eˣ

we get,

x = 4²⁷/⁵

or, x = 4⁵°⁴

or, x = 2¹⁰°⁸

so, comparing with x=2^y , we get,

y = 10.8

Hence, The value of y is 10.8.

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divide 16x³+31.6x²-6.8x-12 by x+2​

Answers

Answer:

16x^2 - 1.6x - 5

------------------------

x+2 | 16x^3 + 31.6x^2 - 6.8x - 12

- (16x^3 + 32x^2)

------------------------

-0.4x^2 - 6.8x

+(-0.4x^2 - 0.8x)

-----------------

-6x - 12

+(-6x - 12)

----------

0

Answer:   = 16x²-.4x-6

Step-by-step explanation:

divide 16x³+31.6x²-6.8x-12 by x+2​

Using synthetic division:  Carry first 1 down.  Multiply that by outside -2 and put it under 2nd number.  Add.  Then multiply and repeat until you get to end.

-2    |   16            31.6             -6.8           -12

      |                  -32                  .8             12        

           16              -.4             -6                0

Put back into equation form.  Last number is 0 so remainder is 0

= 16x²-.4x-6

NO LINKS!! URGENT HELP PLEASE!!!

4. Use the theorems for interior and exterior angles of a polygon to find:

a. The sum of the interior of a 73-gon.

b. The number of sides of a regular polygon if the sum of the interior angles is 2700°

c. The number of sides of a reguluar polygon if the exterior angle is 7.2°

Answers

Answer:

see explanation

Step-by-step explanation:

a

the sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

here n = 73 , then

sum = 180° × (73 - 2) = 180° × 71 = 12,780°

b

here sum of interior angles = 2700° , then

180° (n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

number of sides is 17

c

the sum of the exterior angles of a polygon = 360°

given the polygon is regular then each exterior angle is congruent , so

number of sides = 360° ÷ 7.2° = 50

 

Answer:

a)  12870°

b)  17

c)  50

Step-by-step explanation:

Part a

The Polygon Interior Angle-Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is (n - 2) · 180°.

The number of sides of a 73-gon is n = 73. Therefore, the sum of its interior angles is:

[tex]\begin{aligned}\textsf{Sum of the interior angles of a 73-agon}&=(73-2) \cdot 180^{\circ}\\&=71 \cdot 180^{\circ}\\&=12870^{\circ}\end{aligned}[/tex]

Therefore, the sum of the interior angles of a 73-gon is 12870°.

[tex]\hrulefill[/tex]

Part b

The Polygon Interior Angle-Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is (n - 2) · 180°.

Given the sum of the interior angles of a regular polygon is 2700°, then:

[tex]\begin{aligned} \textsf{Sum of the interior angles}&=2700^{\circ}\\\\\implies (n-2) \cdot 180^{\circ}&=2700^{\circ}\\n-2&=15\\n&=17\end{aligned}[/tex]

Therefore, the number of sides of the regular polygon is 17.

[tex]\hrulefill[/tex]

Part c

According the the Polygon Exterior Angles Theorem, the sum of the measures of the exterior angles of a polygon is 360°.

Therefore, to find the number of sides of a regular polygon given its exterior angle is 7.2°, divide 360° by the exterior angle.

[tex]\begin{aligned}\textsf{Number of sides}&=\dfrac{360^{\circ}}{\sf Exterior\;angle}\\\\&=\dfrac{360^{\circ}}{7.2^{\circ}}\\\\&=50\end{aligned}[/tex]

Therefore, the number of sides of the regular polygon is 50.

A group of ten students recorded the number of minutes they spent on one math homework problem. The
mean amount of time was 9 minutes, but the MAD was 7 minutes.
Draw a dot plot to represent a data set that matches this description. Be sure to include a title and label
your axis.

Answers

1. Create a horizontal axis labeled "Time Spent on Homework Problem (Minutes)."

2. Choose an appropriate scale for the axis, such as labeling every other unit of time from 0 to 18.

3. Plot a dot for each student's data point along the horizontal axis.

4. Arrange the dots in order from smallest to largest time spent on the problem.

5. Title the dot plot to reflect the data set being represented, such as "Math Homework Problem Time Spent: Mean 9 Minutes, MAD 7 Minutes."

6. Include a legend or key if needed to clarify the meaning of the dot plot.(The dot plot is attached below)

To draw a dot plot representing a data set where the mean amount of time spent on one math homework problem is 9 minutes and the MAD is 7 minutes for a group of ten students, we can follow these steps:

The resulting dot plot may show a spread of data between 2 and 16 minutes, with more dots around the center or mean of 9 minutes and fewer dots at the tails. The MAD of 7 minutes suggests a relatively high degree of variability in the data, with some students spending significantly less or significantly more time on the math homework problem. The dot plot can help to visualize these differences and identify any potential outliers in the data.

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Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 24


. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.



Answers

We can use trigonometry to solve this problem. Let's draw a diagram:

```
|\
| \
| \ kite (to be found)
| \
|24°\
| \
| \
| \
| \
| \
| \
|_________\
J 3.25 ft
```

In this diagram, J is Jaxon's position, and we want to find the height of the kite above the ground. We know the distance from Jaxon's hands to the ground (3.25 feet), the length of the string (105 feet), and the angle of elevation from Jaxon's hands to the kite (24 degrees).

Let's call the height of the kite above the ground h. Then we can use the tangent function, which relates the opposite side (h) to the adjacent side (105 feet) and the angle of elevation (24 degrees):

tan(24 degrees) = h / 105

Solving for h, we get:

h = 105 tan(24 degrees) ≈ 44.8 feet

Therefore, the kite is approximately 44.8 feet above the ground. Rounded to the nearest tenth of a foot, the answer is 44.8 feet.

The following cylinder has a volume of 20π cm3 and a height of 5 cm

What is the diameter of the cylinder? Remember, the diameter of a circle is two times its radius

Answers

Answer:

Step-by-step explanation:

To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given:

Volume = 20π cm^3

Height = 5 cm

We can rearrange the formula to solve for the radius:

radius^2 = Volume / (π * height)

radius^2 = (20π) / (π * 5)

radius^2 = 4

radius = 2

Now, we can find the diameter by multiplying the radius by 2:

diameter = 2 * radius

diameter = 2 * 2

diameter = 4

Therefore, the diameter of the cylinder is 4 cm.

how would I solve this

Answers

[tex]\theta =\cfrac{14}{3}\pi \implies \theta =\cfrac{14\pi }{3}\implies \theta =\cfrac{6\pi +6\pi +2\pi }{3} \\\\\\ \theta =\cfrac{6\pi }{3}+\cfrac{6\pi }{3}+\cfrac{2\pi }{3}\implies \theta =2\pi +2\pi +\cfrac{2\pi }{3}[/tex]

so if we take a look at that, we can say that the angle θ does two revolutions and then it lands on 2π/3, so the terminal point of it is the same as 2π/3's, and if you check your Unit Circle, as you should have one

[tex]\sin(\theta )=\cfrac{\sqrt{3}}{2}\hspace{5em}\cos(\theta )=-\cfrac{1}{2}[/tex]

Answer:

sin∅ = √3/2

cos∅ = -1/2

Step-by-step explanation:

Notice that 14π/3 is just under 3π, so the reference angle made with the negative x-axis is π/3. Since sin(π/3) = √3/2, then sin(14π/3) is also √3/2.

cos(14π/3) works somewhat similarly. Since cos(π/3) = 0.5, and cos(14π/3) would be located in Quadrant II where the negative axis is, then cos(14π/3) = -0.5

A man had a square window with sides equal to 1 metre in his house. He decided that it lets in too much light, so he boarded up half of it and still had a square window 1 metre high and 1 metre wide. How did he do that? (6) Total: 40 marks​

Answers

The man rotated the window by 45 degrees and covered one of the diagonals, resulting in a smaller square window with sides measuring 1 meter.

The man achieved the transformation of his square window by dividing it into two equal halves and boarding up one of them.

Let's analyze the steps he took to accomplish this:

Initially, the man had a square window with sides measuring 1 meter

This means that the window had an area of 1 square meter (1m x 1m = 1m²).

To reduce the amount of light coming through the window, the man decided to board up half of it.

This implies that he covered one of the equal halves of the square window, while leaving the other half open.

By boarding up half of the window, he effectively blocked off half of the area of the square window.

Since the original window had an area of 1 square meter, boarding up half of it reduces the effective area to 1/2 square meter (1m² ÷ 2 = 1/2m²).

The remaining open half of the window still retains its square shape, with sides equal to 1 meter.

Therefore, the man ends up with a square window that measures 1 meter in height and 1 meter in width, but with an area of only 1/2 square meter.

In summary, the man achieved the transformation by boarding up half of the square window, effectively reducing its area to half of the original size while maintaining the same dimensions for the remaining open half. This manipulation allows him to control the amount of light entering his house while preserving the square shape of the window.

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Meera can sell 1 jacket for $40, 2 jackets for $35 each, 3 jackets for $30 each, 4 jackets for $25 each, and 5 jackets for $20 each. Her marginal cost of production is constant at $20 for each additional unit (or jacket) produced. If she behaves like a monopolist, what is the number of jackets she will sell?
a. 1
b. 3
c. 4
d. 5

Answers

The number of jackets Meera will sell if she behaves like a monopolist is 3( option B).

To determine the number of jackets Meera will sell if she behaves like a monopolist, we need to compare the marginal revenue (MR) and marginal cost (MC) of producing and selling additional jackets. Meera can sell jackets at various price points depending on the quantity sold, but as she behaves like a monopolist, we consider the revenue and costs associated with a given production level.

From the pricing information given, we can determine her total revenue function, R(x), as follows:

- For 1 jacket, R(1) = 40

- For 2 jackets, R(2) = 70

- For 3 jackets, R(3) = 90

- For 4 jackets, R(4) = 100

- For 5 jackets, R(5) = 100

To determine her marginal revenue function, MR(x), we find the change in revenue from selling an additional jacket. From the data given, we can see that MR is not constant and decreases as the quantity sold increases. Specifically:

- For 1 jacket, MR(1) = 40 - 0 = 40

- For 2 jackets, MR(2) = 35 - 40 = -5

- For 3 jackets, MR(3) = 30 - 35 = -5

- For 4 jackets, MR(4) = 25 - 30 = -5

- For 5 jackets, MR(5) = 20 - 25 = -5

Meera's marginal cost of production is given as a constant $20 for each additional jacket produced, so MC(x) = 20 for all values of x.

To maximize her profits, Meera should produce and sell jackets up to the point where MR(x) = MC(x), which represents the level of production that equates the revenue from selling an additional jacket with the cost of producing that jacket. This happens at the output level of 3, where MR(3) = -5 = MC(3) = 20.(option-b)

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Calculate the surface area of the triangular prism

Answers

Answer:

66 inches²

Step-by-step explanation:

Area of 1 triangle = ½ × base × height = ½ × 7 × 4 = 14 in²

Area of 2 triangles = 14 × 2 = 28 in²

Area of outer rectangles = (6 × 2) × 2 = 24 in²

Area of inner rectangle = 2 × 7 = 14 in²

Total surface area = 28+24+14 = 66 in²

A bank offers a CD that pays a simple interest rate of 7.0%. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 5 years.
The present value that must be invested to get $4500 after 5 years at an interest rate of 7.0% is $__ (Round up to the nearest cent.)

Answers

Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

How to find the present value that must be invested to get $4500 after 5 years

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

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A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles​

Answers

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

Based on the W2 form above, how much money did Jane Doe get to take home after taxes in 2017?

Question 9 options:

$48,500


$6,835


$50,000


$725

Answers

The amount of money that Jane Doe get to take home after taxes in 2017 is A. $48500

How to calculate the amount

Based on the W-2 form above, Jane Doe's gross pay was $50,000. She had $6,835 in federal income tax withheld, $725 in state income tax withheld, and $1,000 in FICA taxes withheld. This means that her net pay was $48,500.

Net pay = Gross pay - Total taxes withheld

Net pay = $50,000 - ($6,835 + $725 + $1,000)

Net pay = $48,500

Therefore, amount of money that Jane Doe get to take home after taxes in 2017 is A. $48500

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determine the value of

(



)
P(A∩B), rounding to the nearest thousandth, if necessary.

Answers

The probability of the intersection P(A∩B) is 0

What is the probability of the intersection P(A∩B)

From the question, we have the following parameters that can be used in our computation:

Event A = 18

Event B = 12

Intersection = 0

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For the intersection events, we have

P(A∩B) = 0/36

Evaluate

P(A∩B) = 0

Hence, the probability of P(A∩B) is 0

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Convert the rectangular coordinates (–6, 6) to polar coordinates.

Answers

Answer:  A   Polar is (6√2,  [tex]\frac{3\pi }{4}[/tex])

Step-by-step explanation:

Draw a line to point (see image).   You need to find the length of that line and then the angle.   Polar(length, angle)

Using pythagorean theorem

length²  = (6)² + (-6)²

length² = 36 +36

length =√72

length  = [tex]\sqrt{36 *2}[/tex]

length = 6√2

To find angle:

The triangle size is 6-6-6√2  Let's proportionally shrink so we can use unit circle numbers to figure angle.    Becomes: 1-1-√2

So when we do sin x =  opp/adj

sin x = [tex]\frac{1}{\sqrt{2} }[/tex]              >get rid of radical on bottom

sin x  = [tex]\frac{\sqrt{2} }{2}[/tex]             > when is sin = [tex]\frac{\sqrt{2} }{2}[/tex]     This happens at [tex]\frac{\pi }{4}[/tex]   but we are in the 2nd quadrant so the angle is [tex]\frac{3\pi }{4}[/tex]

Polar is (6√2,  [tex]\frac{3\pi }{4}[/tex])

The polar coordinates are (6([tex]\sqrt[]{2}[/tex], 3pi/4).

Rectangular coordinates are in the form of (x, y) and Polar coordinates are expressed in the form of (r, [tex]\theta[/tex]).  

Relation between polar coordinates and rectangular coordinates-

x = r cos([tex]\theta[/tex]), y = r sin([tex]\theta[/tex]) and  x^2 +y^2 =r^2                                       ...(1)

So by using above formulas we can solve our question.

Here , x= -6 and y= 6

r^2 = (-6)^2 +(6)^2

       =72

=>r = 6([tex]\sqrt[]{2}[/tex])

Put the values of x and y in the mentioned formula in eq(1)

-6 =  6([tex]\sqrt[]{2}[/tex] )cos[tex]\theta[/tex]

 6 = 6([tex]\sqrt[]{2}[/tex] )sin([tex]\theta[/tex]),

=>-1/([tex]\sqrt[]{2}[/tex] = cos([tex]\theta[/tex]) , 1/[tex]\sqrt[]{2}[/tex]=  sin[tex]\theta[/tex]

Here cos is negative and sin is positive so it lies in 2nd quadrant

so here [tex]\theta[/tex] lies between [tex]\frac{\pi}{2} \leq\theta\leq\pi[/tex]

[tex]\theta[/tex]= π-π/4

 =3π/4

So,(r, [tex]\theta[/tex]) = ( 6√2, [tex]\frac{3\pi}{4}[/tex] )

Factor 6a² - 12a - 5a + 10 by grouping.
O (6a - 5)(a + 2)
(6a - 5)(a - 2)
(6a + 5)(a + 2)
-
O (6a + 5)(a − 2)

Answers

Answer: Therefore, the correct factorization by grouping is (a - 2)(6a - 5).

Step-by-step explanation:

To factor 6a² - 12a - 5a + 10 by grouping, we can group the terms in pairs:

6a² - 12a - 5a + 10

Taking common factors from the first two terms and the last two terms separately:

6a(a - 2) - 5(a - 2)

Now, we can see that (a - 2) is common in both terms, so we can factor it out:

(a - 2)(6a - 5)

Hello!

6a² - 12a - 5a + 10

= 6a² - 17a + 10

= 6a² - 5a - 12a + 10

= (6a² - 5a) + (-12a + 10)

= a(6a - 5) - 2(6a - 5)

= (6a - 5)(a - 2)

Prior to June 30, a company has never had any treasury stock transactions. The company repurchased 185 shares of its $1 par common stock on June 30 for $42 per share. On July 20, it reissued 90 of these shares at $46 per share. On August 1, it reissued 70 of the shares at $40 per share. What is the journal entry necessary to record the reissuance of treasury stock on July 20?

Answers

On July 20, the journal entry to record the reissuance of treasury stock is: Debit Cash for $4,140 and credit Treasury Stock for $4,140.

To record the reissuance of treasury stock on July 20, the company needs to make the following journal entry:

Date: July 20

Account Debit Credit

Cash $4,140

Treasury Stock $4,140

Explanation:

Debit to Cash ($46 per share * 90 shares) to record the cash received from the reissuance of 90 shares of treasury stock: $46 * 90 = $4,140.

Credit to Treasury Stock to remove the cost of the 90 reissued shares from the treasury stock account.

This journal entry reflects the cash inflow from the reissuance of treasury stock and reduces the balance in the treasury stock account, indicating a reduction in the number of shares held by the company as treasury stock.

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Solve for the exact solutions in the interval [0,2]
List your answers separated by a comma, if it has no real solutions, enter DNE.

Answers

The solutions to the trigonometric equation in this problem are given as follows:

θ = π/6.θ = 5π/6.θ = 7π/6.θ = 11π/6.

What are complementary angles?

Two angles are said to be complementary angles when the sum of their measures is of 90º.

For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.

Then the value of θ is obtained as follows:

2θ + θ = 90

3θ = 90

θ = 30º.

θ = π/6.

The equivalent angles, which are also solutions to the equation, are given as follows:

θ = 5π/6. -> second quadrant.θ = 7π/6. -> third quadrant.θ = 11π/6. -> fourth quadrant.

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Help please, I need to get through geometry recovery class

Answers

To prove ∠AOW = 45°

Given,

∠WOZ = 90°

∠ZOB = 45°

Now,

∠XOA +∠AOW = 90°............(1)

∠XOA = ∠ZOB ( Vertically opposite angle  )

∠XOA = 45°

Substitute in (1),

45° +  45° = 90°

Now,

∠WOX = ∠XOA +∠WOA

So,

∠WOA + ∠WOZ + ∠ZOB = 180°( Linear pair )

∠WOA + 90° + 45° = 180°

∠WOA = 45°

Hence proved.

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James exercised for 2/5 of an hour and sandile exercised for 4/12 of an hour ? Who exercised for the longest time?

Answers

Answer:

The answer James

Step-by-step explanation:

James=2/5hours

J=2/5×60=2×12=24 minutes

Sandle=4/12×60=4×5=20 minutes

Answer is a James exercised longer

James exercised 2/5 of an hour

Divide 2/5 = .40 of an hour

Sandile exercised 4/12 of an hour

Divide 4/12 = .33 of an hour

James exercised longer

Find the domain of each expression.

√3 − 6x
√13 − (13 − 2x )
1/√x − 2

Answers

Answer:

To summarize:

√3 - 6x: Domain is all real numbers (-∞, +∞).

√13 - (13 - 2x): Domain is all real numbers (-∞, +∞).

1/√x - 2: Domain is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).

Step-by-step explanation:

To find the domain of each expression, we need to identify any restrictions or limitations on the variables that would result in undefined values.

√3 - 6x:

Since square roots are defined for non-negative numbers, the expression is defined as long as the value inside the square root (√3) is non-negative. The square root of 3 is a positive value, so there are no restrictions on the domain of this expression. Therefore, the domain is all real numbers (-∞, +∞).

√13 - (13 - 2x):

Similar to the previous expression, the square root (√13) is defined for non-negative values. However, we also need to consider the expression (13 - 2x) inside the parentheses. This expression does not have any limitations since it is defined for all real numbers. Therefore, the domain of this expression is all real numbers (-∞, +∞).

1/√x - 2:

For this expression, we need to consider both the square root (√x) and the denominator (1/√x). The square root (√x) is defined for non-negative values of x. However, the denominator 1/√x will become undefined if the value of x is zero because division by zero is undefined. Therefore, we need to exclude x = 0 from the domain. For all other non-zero values of x, the expression is defined. Therefore, the domain of this expression is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).

need help asp please

Answers

Answer:

see explanation

Step-by-step explanation:

using any of the tangent, sine, cosine ratios in the right triangle.

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{6}[/tex] , then

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{7}{6}[/tex] ) ≈ 49.40° ( to 2 decimal places )

-------------------------------------------------------------------

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{6.32}[/tex]

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{6.32}[/tex]

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2}{6}[/tex]

HII PLEASE FILL OUT THE CROSSWORD PUZZEL FOR ME

Answers

Answer:

what is all that?!

(-0.68, 3.02) In y In x (1.07. -1.53) The variables x and y satisfy the equation y Ax-2, where A and p are constants. The graph of In y against In x is a straight line passing through the points (-0.68, 3.02) and (1.07,-1.53), as shown in the diagram. Find the values of A and p.​

Answers

The calculated values of A and p that satisfy the equation y = Ax - 2p are A = -2.6 and p = -0.626

How to calculate the values of A and p

From the question, we have the following parameters that can be used in our computation:

Points = (-0.68, 3.02) and (1.07,-1.53)

The equation is of the form

y = Ax - 2p

Using the given points, we have

3.02 = -0.68A - 2p

-1.53 = 1.07A - 2p

Subtract the eqations

-0.68A - 1.07A = 3.02 + 1.53

So, we have

-1.75A = 4.55

This gives

A = -2.6

Recall that

3.02 = -0.68A - 2p

So, we have

3.02 = 0.68 * 2.6 - 2p

Evaluate

2p = -1.252

Divide by 2

p = -0.626

Hence, the values of A and p are A = -2.6 and p = -0.626

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Question

The variables x and y satisfy the equation y = Ax - 2p, where A and p are constants. The graph of In y against In x is a straight line passing through the points (-0.68, 3.02) and (1.07,-1.53).

Find the values of A and p.​

Phi can be determined for Cable 2 from
O cos^-1 (Fy/Fx)
sin^-1 (Fy/Fx)
O tan^-1 (Fy/Fx).

Answers

Phi (Φ) can be determined for Cable 2 from:

[tex]tan^-1 (Fy/Fx).[/tex]

In trigonometry, [tex]tan^-1 (Fy/Fx)[/tex] represents the inverse tangent function, also known as arctan or atan.

This function is used to find the angle whose tangent is equal to the ratio of the y-component (Fy) to the x-component (Fx) of a vector.

By calculating the ratio Fy/Fx and applying the inverse tangent function, we can determine the angle phi (Φ) for Cable 2.

The value obtained from [tex]tan^-1 (Fy/Fx)[/tex] will represent the angle in radians.

It's important to note that the resulting angle phi (Φ) will provide information about the direction or inclination of Cable 2 based on the given vector components Fy and Fx.

In summary, to determine the angle phi (Φ) for Cable 2, we use the inverse tangent function, represented as[tex]tan^-1 (Fy/Fx),[/tex] which calculates the angle whose tangent is equal to the ratio of the y-component to the x-component of the vector.

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7 1 /4 x − x =9 3/ 8

Answers

Answer:

1.5 is the correct answer

Ryan is building two gardens.
The flower garden is 6 feet long
and 4 feet wide. The vegetable
garden is the same length as the
flower garden. The area of the
flower garden is half the area of
the vegetable garden. What is the
width of the vegetable garden?

Answers

The width of the vegetable garden is 8 feet.

To determine the width of the vegetable garden.

Given information:

Flower garden length = 6 feet

Flower garden width = 4 feet

Vegetable garden length = Flower garden length

Area of the flower garden = half the area of the vegetable garden

To find the width of the vegetable garden, we need to find the area of both gardens.

Area of the flower garden = length × width

Area of the flower garden = 6 feet × 4 feet

Area of the flower garden = 24 square feet

Since the area of the flower garden is half the area of the vegetable garden, we can set up the following equation:

24 square feet = (1/2) × Area of the vegetable garden

To solve for the area of the vegetable garden, we multiply both sides of the equation by 2:

2 × 24 square feet = Area of the vegetable garden

48 square feet = Area of the vegetable garden

Now that we know the area of the vegetable garden is 48 square feet, we can find the width.

Area of the vegetable garden = length × width

48 square feet = 6 feet × width

To solve for the width of the vegetable garden, we divide both sides of the equation by 6:

48 square feet / 6 feet = width

8 feet = width

Therefore, the width of the vegetable garden is 8 feet.

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Define the term "surplus"in this context​

Answers

In this context, "surplus" refers to the excess or additional amount beyond the ideal diameter of 24 inches that the actual diameter of the cake possesses.

It represents the difference between the actual diameter and the desired or expected diameter, taking into consideration the specified margin of error.

When a chef aims to purchase a cake with a margin of error of 3 inches, the surplus indicates the extent to which the cake's diameter surpasses the desired size.

It is a measure of how much larger the cake is compared to the ideal diameter, considering the acceptable range within the margin of error.

The surplus can be positive or negative, depending on whether the actual diameter is larger or smaller than the ideal diameter.

If the actual diameter is greater than 24 inches, the surplus will be a positive value, indicating the excess size of the cake.

Conversely, if the actual diameter is smaller than 24 inches, the surplus will be a negative value, representing the shortfall in size.

By quantifying the surplus, the chef can assess the degree to which the actual cake deviates from the ideal size and make an informed decision based on their specific requirements and preferences.

The surplus helps ensure that the cake's dimensions align with the desired specifications and meets the chef's expectations within the specified margin of error.

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Name at least ONE method a person can use to send money to another person who does not have a bank account.​

Answers

Answer:

One method that a person can use to send money to another person who does not have a bank account is through a money transfer service like Western Union or MoneyGram. These services allow individuals to send money to recipients who can then collect it in cash from designated locations. The sender can visit a local agent or use an online platform to initiate the transfer, providing the recipient's name and other required details. The recipient can then go to a nearby agent location with proper identification to receive the cash. This method provides a convenient way to send money to individuals who may not have access to traditional banking services.

Step-by-step explanation:

Person 1 takes money out of wallet, gives money to person 2.

BOOM!

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