What is the sum of the interior angles of the polygon shown below?

Answer: [tex]9\ ft[/tex]

Step-by-step explanation:

Given

Height of the cylinder [tex]h=5\ ft[/tex]

Volume of the cylinder [tex]V=1271.7\ ft^3[/tex]

The volume of the cylinder is given by [tex]V=\pi r^2h[/tex]

Consider r be the radius of the circle

[tex]\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=\dfrac{1271.7}{3.142\times 5}\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft[/tex]

Thus, the radius of the cylinder is [tex]9\ ft[/tex]

Answer:

12y = -7

Step-by-step explanation:

Answer:

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

Step-by-step explanation:

Given:

– 2x²y³ ( 4x² + 3xy – 5y³)

Open the parenthesis

= (– 2x²y³ * 4x²) + (– 2x²y³ * 3xy) - (– 2x²y³ * 5y³)

= -8x⁴y³ + (-6x³y⁴) - (- 10x²y6^6)

= -8x⁴y³ - 6x³y⁴ + 10x²y6^6

The correct answer is

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

Answer:

82

Step-by-step explanation:

80+80+82+86

328/4

82

Answer:

82

Step-by-step explanation:

mean-the average of numbers in a data set

[tex]mean=\frac{80+80+82+86}{4}[/tex]

[tex]mean=\frac{328}{4}[/tex]

[tex]mean=82[/tex]

Answer:

68.47

Step-by-step explanation:

30%=0.3

20.54/0.3=68.4666……

Answer:

the answer is 13/103

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

(5.84761111111)

Step-by-step explanation:

Length of an arc = 67/360 ×2×3.142×5

=Rationalize(5.84761111111)

Answer:

B

Step-by-step explanation:

Answer:

29.32

Step-by-step explanation:

We are given the diameter on the bottom, so we can find the radius. Since a radius is half the diameter, the radius is 2mi. The formula for the volume of a cone is:

1/3 * pi * r^2 * h

We can substitute:

1/3 * pi * 2^2 * 7

29.32153

This rounds to about 29.32

Answer:

V = 117.23

Step-by-step explanation:

V = (1/3) pi x r^2 x h

Input.

V = (1/3) 3.14 x 4^2 x 7

V = (1/3) 3.14 x 16 x 7

V = (1/3) 3.14 x 112

V = (1/3) 351.68

V = 117.23

Note: Please disregard my answer as I used the incorrect radius. I needed to find the correct radius instead of using the diameter as it was.

Answer:

Step-by-step explanation:

173

Answer:

C. (1, –2); minimum

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

Answer:

B. √3/2.

Step-by-step explanation:

If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.

sin(120)

= √3/2

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

Answer:

The friend caught the ball at 2 feet.

Step-by-step explanation:

1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.

2. False; the x-component of the vertex is 0.5

3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.

4. False; when x = 0, y = 2.

Answer:

4

Step-by-step explanation:

Answer:

A. The number of sit-ups is 5 more than twice the number of push-ups he does.

Step-by-step explanation:

Expressions:

p = push-ups done

2p + 5 situps = total situps

2p means that he does twice the amount of situps than he did as pushups.

+ 5 situps means that he does an extra 5 situps

Answer:

the median is 5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

After 7 steps, co-ordinate would be  (35, 21) in the N-E direction

Step-by-step explanation:

Complete question

Testing a robot. The robot is 17 inches tall and weighs 4 pounds. The employees of the company marked a grid on the floor and set the robot at (5,3). They programmed the robot to walk 2 yards east and 6 yards north each minute. What will the co-ordinate after 7 steps

Solution

The grid on the floor is (5, 3)

5 is the X -co-ordinate and 3 is the y co-ordinate

Since the robot is walking in the north and east direction , it will be in the first co-ordinate only

After seven steps, in east direction, the co-ordinate would be 7 * 5 = 35

After seven steps, in north direction, the co-ordinate would be 7 * 3 = 21

So the co-ordinate would be (35, 21)

Answer:

4

Step-by-step explanation:

x^0 means 1. so 1+3=4

Answer:

57 degrees

Step-by-step explanation:

A line is always 180 degrees so you just subtract 123 from 180 which is 57

Answer:

3/8

Step-by-step explanation:

8 slices

she ate 2 and then another

3 in total

Answer:

B (the one upper right)

Step-by-step explanation:

1. X is at most, something, so x is = or <

2. X is at most 500 more than twice y ---> (2y + 500)

3. X ≤ 2y +500

4. Profits will be over 22500, so 22500 is less (<) than profit

5. Square of profits are 35 times x and 50 times y

6. P^2 = 35x + 50y

7. P = Square-root of (35x + 50y)

8. 22500 < Square-root of (35x + 50y)

Answer is (3) and (8), which is B

Answer:

0.47

Step-by-step explanation:

0.47

47 hundredths is equal to 0.47.

If this helps please mark as brainliest

Answer:

The standard form of forty-seven hundredths is 0.47.

Step-by-step explanation:

Have a nice day! :-)

TeamRocket3

$4 I got it right on a quiz

If the relation is given as p (h)= 14 + 3h. Then the price to rent a bike for 2 hours will be $20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A company rents bikes.

The price (p) in dollars, to rent a bike for h hours can be found using the formula p (h)= 14 + 3h.

Then the price to rent a bike for 2 hours will be

p (h)= 14 + 3 x 2

p (h)= 14 + 6

p (h)= $20

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

Since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

Answer:

17) [tex]k=-5,-6[/tex]

18) [tex]x=6,4[/tex]

19) [tex]k=-2,-6[/tex]

20) [tex]v=6,-3[/tex]

Step-by-step explanation:

Answer:

A has greater volume.

Greater by [tex]43in^3[/tex]

Step-by-step explanation:

[tex]volume \ of \ can = \pi r^2 h[/tex]

[tex]r_A = 3 in, \ h_A = 6 in\\Volume_A = \pi \times 9 \times 6 = 169.65 = 170 in^3\\\\\\r_B = 2.25in , \ h_B = 8\\Volume_B = \pi \times 5.0625 \times 8 = 127.23 = 127in^3[/tex]

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