Please help me fill this in

Answer:

300 bags of 20 kg  of premixed are required.

Step-by-step explanation:

Given:

diameter of pond 'd'= 7 m (given)

radius of inner border of pond 'r'= d/2= 7/2 m

The radius of outer circular border 'R'= r+2= 7/2+2= 11/2m

Area of concrete border around the circular pond= area of outer circle- area of inner circle

So, [tex]\pi\times R^2-\pi\times r^2= \pi\times (R^2-r^2)[/tex]

=> 22/7 x ((11/2)²-(7/2)²)

=> 22/7 x (121/4-49/4)

=>[tex]\frac{22}{7} \times \frac{72}{4}[/tex]

=> 56.57 m²

volume of concrete needed= area x height= 56.57 x 0.05= 2.8285 cubic meter

Since 1 cube meter requires 106 x 20 kg bags,

2.8285 cubic meters require bags= 2.8285x106x20 kg

20 kg bags of premixed concrete required= 2.8285x106x20/20

=> 2.8285x106

=> 299.821 or 300 approximately

So 3 have no pets, so 25 - 3 = 22 students have a pet.

There are 15 cats and 16 dogs so 15 + 16 = 31.

And then 31 - 22 = 9. The 9 means that 9 students have both pets.

So the probability is 9/25.

Answer:

number of students who have cat and dog

= y

= 9

P( student chosen has a dog and cat )

= 9/25

Answer:

The correct order is step 1 → 4 → 2 → 5 → 6 → 7 → 8 → 3 → 9

Step-by-step explanation:

1. [tex]\overline{FA}\cong \overline{FB}[/tex]

  [tex]\overline{FA}\perp\overline{DB}[/tex]

  [tex]\overline{FB}\perp\overline{AC}[/tex]

4. ∠FAB ≅ ∠FBA - In a triangle, angles opposite of congruent sides are congruent

2. [tex]\overline{AB}\cong \overline{AB}[/tex] - reflective property

5. ∠BCA is a right angle - Perpendicular lines for right angles

6. ∠ADB is a right angle - Perpendicular lines for right angles

7. ∠ADB ≅ ∠BCA - All right angles are congruent

8. ΔADB ≅ ΔBCA - AAS

3. ∠CAB ≅ ∠DBA- Corresponding part of congruent triangles are congruent (CPCTC)

9.  [tex]\overline{EA}\cong \overline{EB}[/tex] - In a triangle sides opposite of congruent angles are equal.

Answer: 12.5

Step-by-step explanation:

25 / 2 = 12 1/2

12 1/2 in decimal form is 12.5

Answer:

12.5

Step-by-step explanation:

=> [tex]\frac{25}{2}[/tex]

In mixed form, it is

=> [tex]12\frac{1}{2}[/tex]

And in decimal form, it becomes

=> 12.5

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.

Therefore, angles in parallelogram ABCD is derived as;

A + B + C + D = 360

60 + B + 60 + D = 360

120 + B + D = 360

Subtract 120 from both sides of the equation

B + D = 240

Having known that angle B equals angle D, angles B and D is derived as each half of the value 240

Angle B = 240/2

Angle B = 120

and angle D = 120

Therefore, the angles are;

A = 60, B = 120, C = 60, D = 120

Answer:

The length of OP is 25.

Step-by-step explanation:

The data provided is:

OR = 20

PR = 5

Assume that OR and PR are straight lines.

O_____________________R______P

Compute the length of OP as follows:

OP = OR + PR

     = 20 + 5

     = 25

Thus, the length of OP is 25.

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

The diagram has been attached

The total angle in a triangle is 180°

<CAD=45°

<ACD=90°

Therefore <ADB=45°

1. ∠ADB = 30° no

ADC = 90 - 45 = 45

∠BDC = 90 - 65 = 25

∠ADB = 45 - 25 = 20

2.△ABD ∼ △ACD no going

by law of sines

3.CD = 33.7 centimeters => yes

4.BD = 37.2 centimeters => yes

The correct answers are CD = 33.7 centimeters and BD = 37.2 centimeters.

adioabiola is correct.  I had the same question with the same choices, and chose the same choices as adioabiola.  I know they have already answered this question, but I know some people like when more than one person gives the same answer so they are sure it is correct. :)

I think the answer is c because the triangles and you can use the formula piter=360/n and then take 1/2ab×sinc

Answer: You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, as long as the sub-parts cover the polygon with no space and no overlap.

Step-by-step explanation;

Answer:

M(3, 2) and N(3, 1)

Step-by-step explanation:

A rectangle was rotated 270° about the origin.

Since it doesn't mention which direction, we will review both clockwise and anti-clockwise rotation.

See attached where top rectangle represents the pre-image before anti-clockwise and bottom one - before clockwise rotation.

Now let's check the points given:

K(–3, –1)

M(–3, 2)

M(3, 2)

N(–3, 1)

N(3, 1)

So based on correct points of pre-image we can state it was rotation anti-clockwise

Answer:

C and E

Edge 2021

Answer:

=1344 pi units^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi * (8)^2 * 63

V =1344 pi units^3

The volume of the cone is found to be 1344[tex]\pi[/tex] cubic units.

A cone is geometric structure of 3-Dimensions with a smooth transition from a flat, usually circular base to the peak of a point that creates an axis to the base's centre.

The radius of the cone = 8 units.

The height of the cone = 63 units.

Apply the formula of the cone and substitute the values

volume = [tex]\frac{1}{3}[/tex][tex]\pi 8^{2}[/tex]×[tex]63[/tex]

= [tex]1344\pi[/tex] cubic units

Therefore, the volume of the cone is found to be [tex]1344\pi[/tex] cubic units.

To know about the properties of 3-Dimensional shapes, here

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Answer:

12ab / 4a - 8ab

= 4a(3b)/ 4a(1 - 2b)

= 3b / 1 - 2b

Hope this helps

Answers:

Internal height is approximately 28.5714285714286 cm

Internal surface area is roughly 9628.57142857143 square cm

Round the values however you need to

==========================================================

Work Shown:

1 L = 1000 mL

1 L = 1000 cm^3

60 L = 60,000 cm^3 (multiply both sides by 60)

The cooler has volume of 60,000 cubic cm. Let V = 60000

Assuming the cooler is a rectangular prism (aka a block), then we can say

volume = length*width*height

V = L*W*H

60000 = 60*35*H

60000 = 2100H

2100H = 60000

H = 60000/2100

H = 28.5714285714286 which is approximate

And the surface area (SA) is

SA = 2*(LW + LH + WH)

SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

SA = 9628.57142857143 which is also approximate

Units for the surface area are in square centimeters.

Answer:

palindromes

Step-by-step explanation:

palindromes are spelled the same forward and backward, thus have vertical symmetry.

Answer:

C no, because one x value corresponds to two different y values

Step-by-step explanation:

The x value of 3 goes to two different y values

This means this cannot be a function

This is not a one to one correspondence

Answer: C

Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.

Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.

Since the x-value of 3 corresponds to more than 1 y-value,

no, this table does not represent a function.

Answer:

0.45

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

f(x) =1/3 × 4^x

f(4) = 1/3 × 4⁴

= 1/3 × 256

= 256/3

Hope this helps

Answer:

A

Step-by-step explanation:

The base angles L and N are congruent.

Thus the triangle is isosceles and ML = MN, that is

3x = x + 8 ( subtract x from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

MN = x + 8 = 4 + 8 = 12 → A

Answer : The expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].

Step-by-step explanation :

The given expression is:

[tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex]

As we know that:

[tex]\sqrt[4]{x} =x^{\frac{1}{4}}[/tex]

So, by solving the above expression, we get:

[tex]\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}[/tex]

By multiplying the power of 9, we get the following expression.

[tex]\Rightarrow 9^{(\frac{1}{8}x)}[/tex]

Hence, the expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].

Answer:

4, -26/3

Step-by-step explanation:

The length of the diagonal of the container is the square root of length squared plus width squared plus height squared. This is then[tex]\sqrt{x^{2}+(x+8)^{2} +(x-1)^{2}} = 13[/tex], solving, we get x = 4, or x = -26/3

Answer:

r = [tex]\sqrt{7}[/tex], centre = (6, - 4 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

with (h, k) the coordinates of the centre and r the radius

(x - 6)² + (y + 4)² = 7 ← is in standard form

with centre = (6, - 4) and r² = 7 , hence r = [tex]\sqrt{7[/tex]

Option (A) is correct

What are factors of production?

" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."

What are some examples of entrepreneurship as a factor of production?

An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.

So, option (A) is correct

more about factor of production

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Answer: entrepreneurship

Step-by-step explanation:

just took the quiz

Answer:

10

Step-by-step explanation:

Use the distacne forumla to find the differnece between the two points.

Answer:

x = 35

y = 21

x - y = 14

Step-by-step explanation:

x/y = 5/3 => x = 5y/3

x + y = 56 => 5y/3 + y = 56 => 8y/3 = 56 => y/3 = 7 => y = 21 => x = 56 - 21 = 35 => x- y = 35 - 21 = 14

Answer: The value of x-y is 14.

Step-by-step explanation:

If  x:y=5:3   is equal to x+y=56  then you can say that 5/8 of 56 is equal to the value of x  and 3/8 of 56 is equal to the value of y.  

so x= [tex]\frac{5}{8}*56[/tex]  

    x = 0.625 * 56

  x = 35  

And   y=   3/8 *56

     y= 0.375 *56

    y= 21      

Check: 35 + 21 =56

Now we know the value of x is 35 and the value of x is 21.

so x- y has to be 35 -21 = 14

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 68.5

σ = 2.7

the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as

P(67.5 < x < 71.0)

For x > 67.5,

z = (67.5 - 68.5)/2.7 = - 0.37

Looking at the normal distribution table, the probability corresponding to the z score is 0.36

For x < 71.0

z = (71.0 - 68.5)/2.7 = 0.93

Looking at the normal distribution table, the probability corresponding to the z score is 0.82

Therefore,

P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46

The number of students whose height is between 67.5 and 71.0 inches is

0.46 × 1000 = 460 students

The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)

P(x ≥ 74) = 1 - P(x < 74)

For x < 74,

z = (74 - 68.5)/2.7 = 2.04

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x ≥ 74) = 1 - 0.98 = 0.02

The number of students whose height are greater than or equal to 74.0 inches is

0.02 × 1000 = 20 students

Answer:

Following are the prove of given question is given below

Step-by-step explanation:

In the given question RHS side is incorrect .The correct question is

sin(n+1)x sin(n+2)x + cos(n+1)x cos(n+2)x = cosx

LHS

[tex]sin(n+1)x\ sin(n+2)x+cos(n+1)x\ cos(n+2)x\\We\ know\ that\\cos(x-y)\ = cos\ x\ cos\ y\ +\ sin\ x\ sin\ y[/tex]

Here

x =(n+1)x

y=(n+2)x

So

[tex]cos((n+1)x-(n+2)x)\\\cos(nx + x- nx-2x)[/tex]

cos(-x)

cos(x) =RHS

Answer:

( 2,3 )

x =2 , y = 3

Step-by-step explanation:

In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.

In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.

___________________________________________________

Given system of linear equation

3x − 2y = 0    (1)

2x + y = 7    (2)

Let eliminate y to find x

as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.

In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.

( 2x + y )*2= 7 *2

=>2x *2+ y*2= 7 *2

=> 4x + 2y = 14    let it be equation 3

Adding equation 1 and 3

 3x − 2y = 0  

+4x  + 2y = 14

_____________________________  -2 y + 2y = 0 (y gets eliminated)

7x = 14

=> x = 14/7 = 2

Thus, x = 2

using x = 2 in 2x + y = 2

2*2 + y= 7

=> 4 + y = 7

=> y = 7 - 4 = 3

\

Thus, The solution to the system is ( 2,3 ).

Answer:

Here are the steps

Step-by-step explanation:

Answer:

Step-by-step explanation:

We first need to determine how many grams are in 3 kg.

3 kg * [tex]\frac{1000g}{1kg}[/tex] = 3000 g

Now we know that there are 3000 g in 3 kg. If we divide 3000 g by 75, we will determine how many packets of butter there are.

3000 / 75 = 40.

40 packets of butter. If 10 go into a box, that means that

40 / 10 = 4 boxes.

Step-by-step explanation:

3kg = 3000g

1 packet = 3000/75 = 40 packets

Then

If 10 packets in a box so

40/10 = 4 boxes

Answer:

tan(C) = 3/4

Step-by-step explanation:

If the sine of angle C is 3/5 and we want to find the tangent of the angle C, we can first find the cosine of angle C using the following equation:

[tex]sin^2(C) + cos^2(C) = 1[/tex]

[tex](3/5)^2 + cos^2(C) = 1[/tex]

[tex]cos^2(C) = 1 - 9/25[/tex]

[tex]cos^2(C) = 16/25[/tex]

[tex]cos(C) = 4/5[/tex]

Then, we can find the tangent relation using the equation:

[tex]tan(C) = sin(C) / cos(C)[/tex]

[tex]tan(C) = (3/5) / (4/5)[/tex]

[tex]tan(C) = 3/4[/tex]