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olasank [31]
3 years ago
9

Identify the values of the variables. Give your answers in simplest radical form. PLEASE HELP!!

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

2 sqrt(3) = n

k = 4 sqrt(3)

Step-by-step explanation:

We know that cos 30 = adjacent/ hypotenuse

cos 30 = 6 /k

Multiply each side by k

k cos 30 = 6k * k

k cos 30 = 6

Divide each side by cos 30

k cos 30/ cos 30 = 6/ cos 30

k = 6 / cos 30

k = 6/ (sqrt(3)/2)

k =12 / sqrt(3)

We cannot leave the sqrt in the denominator

k = 12 / sqrt(3) * sqrt(3)/sqrt(3)

k = 12 sqrt(3)/3

k = 4 sqrt(3)

We know tan 30 = opposite/adjacent

                tan 30 = n/6

Multiply each side by 6

                  6 tan 30 = n

                  6 * (sqrt(3)/3) = n

                   6/3 * sqrt(3) = n

                    2 sqrt(3) = n

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1. g. $0.10 per square inch

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3. information/answer was provided

4. information/answer was provided

5. A = πr²

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   A = π(5)² = 25π in² ≈ 79 in²

6. A = πr²

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