the area of a rectangle city park is 25/54 sqaure miles. the length of the park is 5/9 mile. what is the width in miles of the p
1 answer:
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Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
and, because the radium is half of the diameter,
<u>Note that the units are inches.</u>
Using the equation
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
Use the change-of-basis identity,
to write
Use the product-to-sum identity,
to write
Redistribute the factors on the left side as
and simplify to
Now expand the right side:
Simplify and rewrite using the logarithm properties mentioned earlier.
(C)