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The perimeter of a quarter circle is $17.85$ millimeters. What is the quarter circle's radius? $P=17.85$ mm Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

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Grade 8

Circles: word problems

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Question

The work done by stretching a certain spring increases by

0.13 x

joules per centimeter (where

x

is the displacement, in centimeters, beyond the spring's natural length).

\newline

How much work (in Joules) must be done in order to stretch the spring from

x=4

x=10

\newline

Choose

1

answer:

\newline

(A)

5

46

\newline

(B)

7

54

\newline

(C)

\mathbf{1 0 . 9 2}

\newline

(D)

\mathbf{1 5 . 0 8}

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Posted 9 months ago

Question

Ahmed is modeling the area covered by a moss using the following equation:

\newline

A=t^{2}+5.8 t+9.41

\newline

where

A

is the area covered in square centimeters, negative values of

t

represent a number of days before noon on July

1

2014

, and positive values of

t

represent a number of days after noon on July

1

2014

. Which of the following equivalent expressions contains the number of days before noon on July

1

2014

, as a constant or coefficient, when the moss started with its smallest area of

1

square centimeter?

\newline

Choose

1

answer:

\newline

(A)

(t-(-2.9))^{2}+1

\newline

(B)

(t-(-1))^{2}+3.8 t+8.41

\newline

(C)

(t-(-3.9))(t-(-1.9))+2

\newline

(D)

t(t-(-5.8))+9.41

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Posted 9 months ago

Question

Solve.

\newline

Find the exact volume and surface area of a sphere of radius

12

inches.

\newline

V=576\pi\text{ cu in.};

SA=2304\pi\text{ sq in.}

\newline

V=2304\pi\text{ cu in.};

SA=576\pi\text{ sq in.}

\newline

V=1728\pi\text{ cu in}

;SA=144\pi\text{ sq in.}

\newline

V=6912\pi\text{ cuin.}:

SA^{\cdot}=36\pi\text{ sq in.}

\newline

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Posted 8 months ago

Question

What is the height of the tent?

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Posted 8 months ago

Question

The volume of a rectangular prism is

108 \mathrm{~cm}^{3}

. Eric measures the sides to be

3.32 \mathrm{~cm}

4.04 \mathrm{~cm}

8.72 \mathrm{~cm}

. In calculating the volume, what is the relative error, to the nearest thousandth.

\newline

Answer:

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Posted 8 months ago

Question

\triangle \mathrm{UVW}, w=8.9

inches,

v=9

inches and

\angle \mathrm{V}=50^{\circ}

. Find all possible values of

\angle \mathrm{W}

, to the nearest

10

th of a degree.

\newline

Answer:

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Posted 8 months ago

Question

Circle

O

shown below has a radius of

7

inches. To the nearest tenth of an inch, determine the length of the arc,

x

, subtended by an angle of

1

4

radians.

\newline

Answer:

\square

inches

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Posted 8 months ago

Question

Circle

O

shown below has an arc of length

19

inches subtended by an angle of

1

radians. Find the length of the radius,

x

, to the nearest tenth of an inch.

\newline

Answer:

\square

inches

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Posted 8 months ago

Question

The area of a rectangular goat pen is

54 \, \text{square meters}

. The perimeter is

30 \, \text{meters}

. What are the dimensions of the pen?

\newline

\_\_\_\_

meters by

\_\_\_\_

meters

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Posted 8 months ago

Question

The perimeter of a square piece of tissue paper is

36

centimeters. How long is each side of the tissue paper?

\newline

_____ centimeters

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Posted 8 months ago

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The perimeter of a quarter circle is 17.8517.8517.85 millimeters. What is the quarter circle's radius? P=17.85P=17.85P=17.85 mm Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth.

The perimeter of a quarter circle is $17.85$ millimeters. What is the quarter circle's radius? $P=17.85$ mm Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.