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nadezda [96]
3 years ago
8

Tameka ran one lap around a circular track that had a diameter of 20.5 feet. How far did she run? Round your answer to the neare

st tenth.
Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0
Formula is pi * d
So we have 20.5 * 3.14

To the nearest tenth, that is 64.4

64.4 is our answer. 
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What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common
just olya [345]

Answer:

3/2

Step-by-step explanation:

Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3

Slope 2 perpendicular to Slope 1 :

-1 ÷ -⅔ = 3/2

6 0
3 years ago
∫(x+1)/(x2+2)2x−3​dx need help with this question. can you show the process​
kenny6666 [7]

do you need to include the wiggle infront of the first bracket? if not;

(x+1) ÷ [(x^2+2) x (2x-3dx)]

x^2 x 2x = 2x^3

x^2 x -3dx = -3dx^3

2 x 2x = 4x

2 x -3dx = - 6dx

i cant find a way to make it equal 0 so i think the answer is just

x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction

4 0
2 years ago
Emily gives her bird 1/8 cup of bird seeds along with 1/3 cup of grains each day. How much food is given each day to the bird
ANEK [815]

Answer:

11/24 cup

Step-by-step explanation:

What you would do is add 1/8 plus 1/3. To add two fractions, each much have the same denominator. In this case, you would need to multiply 1/8 into 3/24 by multiplying 1/8 by 3 on the denominator and numerator. For 1/3, multiply each the numerator and denominator by 8 getting the fraction 8/24. Now you can line up each fraction and add the numerators, keeping the denominator at 24. That answer would be 11/24. This cannot be simplified, so the answer is 11/24 cup of food.

Whenever you are confused with assignments, it is best to tell your parent to help you or teacher the next day. Hope this helps though!

6 0
3 years ago
The deli server put 0.25 pound (lb) of meat on each sandwich. She used the equation 0.25s = 50 to determine the number of sandwi
LenKa [72]
200 is the value of s
6 0
3 years ago
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
2 years ago
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