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3 years ago

A semicircle has an area of 76.97 km² . Find its radius

2 answers:

4 0

Area of a semicircle = 1/2 πr²

1/2 πr² = 76.97

Multiply both sides by 2:
πr² = 153.94

Divide both sides by π:
r² = 49

Square root both sides:
r=√49

r = 7

Answer: r = 7

zhenek [66]3 years ago

3 0

Hello!

We first have to make the semicircle a whole circle

A semicircle is half a circle so we multiply the area by 2

76.97 * 2 = 153.94

Now we use the equation to find the radius when given the area which is

$r= \sqrt{ \frac{A}{ \pi} }$

r is radius
A is area

Put in the values we know

$r= \sqrt{ \frac{153.94}{ \pi }}$

Divide 153.94 by pi

$r = \sqrt{49}$

Take the square root

r = 7

The answer is 7km

Hope this helps!

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Solution-

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

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Interest earned by $17,000,

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According to the question,

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$\Rightarrow 221x=80x+276$

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3 years ago

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Alexus [3.1K]

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

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Step-by-step explanation:

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