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MArishka [77]
4 years ago
14

The area of a quarter circle is 19.625 square kilometers. what is the quarter circle's perimeter?

Mathematics
1 answer:
liubo4ka [24]4 years ago
6 0

a quarter of a circle is 19.625

 so the area of full circle is 19.625 x 4 = 78.5 sq. km

area of a circle is PI x r^2

78.5 = 3.14 x r^2

78.5/3.14 = 25 = r^2

r = sqrt(25) = 5

radius is 5 km

circumference ( perimeter) = 2 x PI x r

2 x 3.14 x 5 = 31.4 km

 perimeter is 31.4 km

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qaws [65]

Answer:

The factors of -20 are:

1, 2, 4, 5, 10, 20

-1, -2, -4, -5, -10, -20

Step-by-step explanation:

6 0
3 years ago
Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10
morpeh [17]

Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

6x = 6(7.5) =45

8x = 8(7.5) =60

10x = 10*7.5 = 75

4 0
3 years ago
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185
Marta_Voda [28]

This question is incomplete

Complete Question

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.

The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can

purchase. Which statement about the number of new baseballs that can be purchased is true?

A. The team can purchase 204 new baseballs.

B. The minimum number of new baseballs that can be purchased is 185.

C. The maximum number of new baseballs that can be purchased is 185.

D. The team can purchase 185 new baseballs, but this number is neither the

maximum nor the minimum.

Answer:

D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

Step-by-step explanation:

The first step would be to solve the given equation:

185 + 4b ≤ 1000

4b ≤ 1000 - 185

4b ≤ 815

Divide both sides by 4

b ≤ 203.75

The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.

Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

The maximum number of ball they can buy is 203 balls and the minimum is zero.

8 0
3 years ago
What is 6 6/7 - 2 3/8
lilavasa [31]

Answer: exact form: 251/56, decimal form 4.482, mixed number form 4 27/56

6 0
3 years ago
What is the measure of angle c in degrees? *<br> 150<br> 30<br> 90<br> 60
Dmitry [639]

Answer:

Option (2)

Step-by-step explanation:

Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.

From the figure attached,

m∠C = \frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]

        = \frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]

        = \frac{1}{2}[360-2m(\widehat{AB})]

        = 180-m\widehat{AB}

        = 180 - 150

        = 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.

4 0
3 years ago
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