Name each angle in four ways. Then classify the angle as acute, right, obtuse,or straight.

The mechanical advantage of the pulley is 1.

The ratio of the force produced by a machine to the force applied to it.

[tex]\rm M.A. = \dfrac{F_o}{F_i}[/tex]

Here,  [tex]\rm F_o[/tex] is output force and [tex]\rm F_i[/tex] input force.

A pulley is given.

The mechanical advantage of the pulley.

We know by Newton's first law.

P = W

where P is applied force

and W is the weight of the object.

Then

[tex]\rm M.A. = \dfrac{F_o}{F_i}\\\\M.A. = \dfrac{P}{W}\\\\M.A. = \dfrac{P}{P}\\\\M.A. = 1[/tex]

The mechanical advantage of the pulley is 1.

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Answer:

597

Step-by-step explanation: step by step explanation

Answer:

B)

Step-by-step explanation:

Given f(x) = ( 7 - 8x )²

let f(x) be y,

y =  ( 7 - 8x )²  .............to find inverse we have to make x the subject.

±√y = 7 - 8x

-8x = √y  - 7

x = (±√y  - 7 ) / -8

Then,

Inverse of ( 7 - 8x )² is  [tex]-\frac{\sqrt{x}-7}{8},\:-\frac{-\sqrt{x}-7}{8}[/tex] and is a  function.

Answer:

$100

Step-by-step explanation:

if you are increasing your total amount by a percent, add 100 to the number and multiply. make sure you have your decimals in place.!!!

The groceries cost price on the next bill is $100.

The original price of the product is the cost price. The amount that a customer pays to buy a product is called the selling price.

For the following situation,

Initial spending amount on groceries = $80

Expensive percentage on next bill = 25% = 0.25

Groceries cost on next bill = [tex]80 + (80) ( 0.25)[/tex]

⇒ [tex]80+20[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the groceries cost price on the next bill is $100

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Answer:

(2, 5)

Step-by-step explanation:

The x coordinate is the number inside the parentheses, but with the opposite sign, 2

The y coordinate is the number at the end

Answer:

vertex: (2, 5)

Step-by-step explanation:

y=3(x−2)2+5

this is a parabola because of one variable squared and the other one is not so now write it in the standard form of parabolas which it is = to

______

Vertical :

(x−h)2=4p(y−k)

Horizontal:

(y−k)2=4p(x−h)2

vertex = (h, k)

______

this y=3(x−2)2+5 equation is vertical since x is squared

subtract 5 from both sides:

y−5=3(x−2)2

divide both sides by 3:

(y−5)13=(x−2)2

vertex:

(2,5)

Answer:

I think D

Step-by-step explanation:

im not 100% sure but yea

Answer:

x = 8

Step-by-step explanation:

3/4x - 7 = -1

Your first step is to isolate the variable term 3/4x, to do this you have to add 7 to both sides:

3/4x -7 (+7) = -1 (+7)

3/4x = 6

Next, you want to get rid of the fraction by multiplying both sides by the denominator #, 4

3/4(x4) x = 6(x4)

3x = 24

Final step, you divide by three to isolate the x!

3x/3 = 24/3

x = 8

Hope this helps! =D

Step-by-step explanation:      

Step 1: Add 7 to both sides.

[tex]\frac{3}{4}x-7+7=-1+7[/tex]

Step 2: Simplify

[tex]\frac{3}{4}x=6[/tex]

Step 3:  Multiply both sides by 4

[tex]4\cdot \frac{3}{4}x=6\cdot \:4[/tex]

Step 4: Simplify

[tex]3x=24[/tex]

Step 5: Divide both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}[/tex]

Step 6: Simplify

[tex]x=8[/tex]

Explanation in words (Short Form)

-  The first step is to add 7 to both sides and the answer will result as 3/4x=6.

- The second step is to multiply both sides by 4/3 and the final answer will result as x = 8.

Answer:    

[tex]x=8[/tex]

Hope this helps.

Answer:

Given below.

Step-by-step explanation:

basic: { 222,222 - 30,000}

basic: { 89,386,355,535,363 - 122,880,999 - 222,222 + 30,000 }

                                  8.938623246 * 10^13 cookies.  

Answer:

80.

Step-by-step explanation:

Hope it helps

my first answer was 125% but then I realised I seen the wrong number sorry my eyes are not very good lol

Answer:

there are 2

Step-by-step explanation: happy to help

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265[/tex]

After 45 years, approximately 0.225 grams of the original 3.6 grams of plutonium-241 will remain.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To solve this problem, we can use the formula for radioactive decay:

[tex]N = N_0 \times (\dfrac{1}{2})^{\frac{t}{T}[/tex]

Where:

N = the amount of radioactive material remaining after time t

N₀ = the initial amount of radioactive material

t = time

T = the half-life of the radioactive material

We know that the half-life of plutonium-241 is 14.4 years, and we want to find the amount of plutonium-241 remaining after 45 years. We also know that the initial amount of plutonium-241 is 3.6 grams. So we can plug these values into the formula:

[tex]N = 3.6 \times (\dfrac{1}{2})^\frac{45}{14.4}[/tex]

N ≈ 0.225 grams

Therefore, after 45 years, approximately 0.225 grams of the original 3.6 grams of plutonium-241 will remain.

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Answer:

Yes

Step-by-step explanation:

5 - 2 / 4 - 2 ---> Rise Over Run (first two coordinates)
3/2 --> Slope

2 - 3 = -1
(0, -1)

-1 --> y-intercept

Answer:

36.5 sq cm

Step-by-step explanation:

If you find the length of AB then you know the diameter and can find the area.

3.9^2 + 5.6^2 = c^2

15.21 + 31.36 = c^2

46.57 = c^2

6.82 = AB

The radius is half of that, so it is 3.41. Radius squared x pi = area

36.5 sq cm

Answer:

36.576 cm²

Step-by-step explanation:

We can simply figure out the hypotenuse of the triangle which is the diameter of our circle, then use the radius to get the area of the circle:

[tex]a^2+b^2=c^2\\\\5.6^2+3.9^2=c^2\\\\31.26+15.21=c^2\\\\46.57=c^2\\\\c=\sqrt{46.57}[/tex]

Since we have our diameter, the radius is simply [tex]r=\frac{\sqrt{46.57}}{2}[/tex],  and finding the area of the circle becomes simple enough:

[tex]A=\pi r^2\\\\A=\pi(\frac{\sqrt{46.57}}{2})^2\\ \\A=\pi(\frac{46.57}{4})\\ \\A\approx36.576[/tex]

Therefore, the area of the circle is 36.576 cm²

Answer:

7, 14, 21

Step-by-step explanation:

for n as term number

n = 1

7n = 7

n = 2

7n = 14

n = 3

7n = 21

hence the first 3 terms are 7, 14, 21

Answer:

(10x - 9y)(10x + 9y)

Step-by-step explanation:

100x² - 81y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

100x² - 81y²

= (10x)² - (9y)²

= (10x - 9y)(10x + 9y)

Answer:

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Formula: A = πr²

Since the radius is 4, we fill in the formula with the radius.

A = (3.14)4²

A = (3.14)16

A = 50.24

-hope it helps

Answer:

0.59

Step-by-step explanation:

Answer: 50% is the answer

Answer: 50%!

Step-by-step explanation:

There are 32 conference games scheduled.

Since the little twelve football conference has two divisions, with nine teams in each division. each team plays each of the other teams in its own division twice once.

Since each team plays two matches against every other team, and plays against 8 teams, the number of games in each division is 2 games/team × 8 teams = 16 games.

Since there are the same number of teams in each division, so there are the same number of games per division and there are 2 divisions, the total number of games in the conference = games per division × number of divisions

= 16 games/division × 2 divisions

= 32 games.

So, there are 32 conference games scheduled.

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1) The measures of angles H and F are 121°, respectively.

2) The measures of angles U and V are 65° and 139°, respectively.

3) The missing angles are [tex]m \angle 1 = 72^{\circ}[/tex], [tex]m\angle 2 = 72^{\circ}[/tex], [tex]m\angle 3 = 47^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m\angle 5 = 18^{\circ}[/tex], [tex]m\angle 6 = 47^{\circ}[/tex] and [tex]m\angle 7 = 43^{\circ}[/tex].

4) The missing angles are [tex]m \angle 1 = 55^{\circ}[/tex], [tex]m\angle 2 = 35^{\circ}[/tex], [tex]m\angle 3 = 35^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m \angle 5 = 55^{\circ}[/tex], [tex]m \angle 6 = 67^{\circ}[/tex], [tex]m\angle 7 = 67^{\circ}[/tex], [tex]m\angle 8 = 23^{\circ}[/tex] and [tex]m \angle 9 = 23^{\circ}[/tex], respectively.

5) The measure of side [tex]QT[/tex] is [tex]\sqrt{105}[/tex].

6) The measure of side [tex]DF[/tex] is [tex]4\sqrt{26}[/tex].

7) The measure of side [tex]NP[/tex] is [tex]3\sqrt{65}[/tex].

8) The value of [tex]x[/tex] is 17.

9) The value of [tex]x[/tex] is 6.

10) The measure of angle EDC is 107°.

11) The measure of angle RST is 122°.

1) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles H and F are 121°, respectively. [tex]\blacksquare[/tex]

2) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles U and V are 65° and 139°, respectively. [tex]\blacksquare[/tex]

3) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are [tex]m \angle 1 = 72^{\circ}[/tex], [tex]m\angle 2 = 72^{\circ}[/tex], [tex]m\angle 3 = 47^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m\angle 5 = 18^{\circ}[/tex], [tex]m\angle 6 = 47^{\circ}[/tex] and [tex]m\angle 7 = 43^{\circ}[/tex], respectively. [tex]\blacksquare[/tex]

4) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are [tex]m \angle 1 = 55^{\circ}[/tex], [tex]m\angle 2 = 35^{\circ}[/tex], [tex]m\angle 3 = 35^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m \angle 5 = 55^{\circ}[/tex], [tex]m \angle 6 = 67^{\circ}[/tex], [tex]m\angle 7 = 67^{\circ}[/tex], [tex]m\angle 8 = 23^{\circ}[/tex] and [tex]m \angle 9 = 23^{\circ}[/tex], respectively. [tex]\blacksquare[/tex]

5) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

[tex]QT = \sqrt{PQ^{2}-PT^{2}}[/tex]

[tex]QT = \sqrt{13^{2}-8^{2}}[/tex]

[tex]QT = \sqrt{105}[/tex]

The measure of side [tex]QT[/tex] is [tex]\sqrt{105}[/tex]. [tex]\blacksquare[/tex]

6) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

[tex]DF = 2\cdot DH[/tex], [tex]DH = \sqrt{DE^{2}-EH^{2}}[/tex]

[tex]DF = 2\cdot \sqrt{DE^{2}-EH^{2}}[/tex]

[tex]DF = 2\sqrt{15^{2}-11^{2}}[/tex]

[tex]DF = 4\sqrt{26}[/tex]

The measure of side [tex]DF[/tex] is [tex]4\sqrt{26}[/tex]. [tex]\blacksquare[/tex]

7) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

[tex]NK = 7\cdot x - 1[/tex], [tex]NM = 10\cdot x - 13[/tex], [tex]KM = 24[/tex], [tex]NK = NM[/tex], [tex]KP = \frac{KM}{2}[/tex]

[tex]NP = \sqrt{NK^{2}-KP^{2}}[/tex]

[tex]NP = \sqrt{[7\cdot (4)-1]^{2}-12^{2}}[/tex]

[tex]NP = 3\sqrt{65}[/tex]

The measure of side [tex]NP[/tex] is [tex]3\sqrt{65}[/tex]. [tex]\blacksquare[/tex]

8) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of [tex]x[/tex] is 17. [tex]\blacksquare[/tex]

9) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of [tex]x[/tex] is 6. [tex]\blacksquare[/tex]

10) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, we have the following expressions:

[tex]m\angle EDC = 180^{\circ}-90^{\circ}-[2\cdot (2)+13][/tex]

[tex]m\angle EDC = 107^{\circ}[/tex]

The measure of angle EDC is 107°. [tex]\blacksquare[/tex]

11) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, the angle RST is:

[tex]m\angle RST = 2\cdot (3\cdot 12 +25)[/tex]

[tex]m \angle RST = 122^{\circ}[/tex]

The measure of angle RST is 122°. [tex]\blacksquare[/tex]

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I Don't know the answer to this maths

Answer:

The second option is correct.

Step-by-step explanation:

[tex]Solution,\\Breadth(b)=5cm\\Length (l)=4cm+6cm=10cm\\Now ,\\Area=l*b=5cm*10cm=50cm^{2}[/tex]

Answer:

3,-1

Step-by-step explanation:

if you move down you subtract it from the y-axis and you end with 3,-1

Answer:

Triangles:

Top: Right Triangle

Left: Scalene Triangle

Middle: Isosceles Triangle

Right: Equilateral Triangle

Top Row: Left to right

1. Rectangle/ Parallelagram

2. Pentagon

3. Hexagon

4. Octagon

Bottom Row: Left to right

1. Rectangle/ Parallelagram

2. Square/ Rectangle/ Parallelagram

3. Rhombus/ Parallelagram

4. Rhombus/ Parallelagram

5. Trapezoid/ Parallelagram