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777dan777 [17]
3 years ago
6

The area of a semicircle is 0.7693 square miles. What is the semicircle's radius?

Mathematics
1 answer:
Digiron [165]3 years ago
5 0
Substitute the given information into the formula for area of a semi-circle and solve for r.
  A = (1/2)πr²
  0.7693 mi² = (1/2)πr²
  (2×0.7693 mi²)/π = r²
  √((2×0.7693 mi²)/π) = r ≈ 0.6998 mi

The radius of the semicircle is approximately 0.700 miles
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Answer:

k = 4

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition a = 8 when b = 2

k = \frac{a}{b} = \frac{8}{2} = 4

8 0
3 years ago
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A car has an initial value of $20,000. The value then "depreciates" or decreases by 10% of its initial value each year. Which eq
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Answer:

D) v = -2,000y + 20,000.

Step-by-step explanation:

The question gives a linear relationship between two quantities.  This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant.  Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000.  Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000.  So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.  

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3 years ago
What are these as equalivalent equations
tatiyna

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are <u>6x - 2(x - 3)</u> and <u>x + 3(x - 2) - 6</u>.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

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Which statement describes the cost to park as a unit price?
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Answer:

d

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A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1

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A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8

Method:

A(1)=1

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A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)

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