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Answer:
6
Step-by-step explanation:
Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.
The ratios we will create will be
where each long and short form an angle.
So write:

To solve, cross multiply numerator with denominator.
12(4) = 8(y)
48=8y
6=y
Answer:
Step-by-step explanation:
https://d1avenlh0i1xmr.cloudfront.net/large/53ca8d0d-
Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

The present value of your winnings is $102,677.20.
Answer:
523.3 cubic inches
Step-by-step explanation:
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
The shape of a basketball is spherical.
Hence:
The volume of a basketball = 4/3 × π × r³
From the question,
π = 3.14
r = radius = Diameter/2
r = 10 in/2 = 5 in
Hence:
The volume of the basketball
= 4/3 × 3.14 × 5³
= 1570 ÷ 3
= 523.33333333 cubic inches
Therefore, the approximate volume of the basketball = 523.3 cubic inches