PLEASE HELP!! Solve for the missing variables. Leave the answer in simplified radical form, unless you use Trig, then round to the nearest hundredth.

Question

asked May 2, 2022 214k views

1 Answer

Mahdi Rashidi · Answer 1 · 2022-05-07T15:33:27+0000

Answer and Step-by-step explanation:

Use Pythagorean Theorem for 6 and 9.

6.

$8^(2) + w^(2) = 14^(2) \\\\\\w^(2) = 132\\\\\\2√(33) = w = 11.49$

7. Use Cosine, and then Tangent.

$cos(30) = (15)/(y) \\\\y = (15)/(cos(30)\\\\)\\\\y = 10√(3), or 17.32$

$tan(30) = (x)/(15) \\\\15tan(30) = x\\\\5√(3) = x = 8.66$

8. Use Sine.

$sin(theta) = (23)/(42) \\\\theta = sin^(-1) ((23)/(42) )\\\\theta = 33.2$

9.

y = 7

$7^(2) +7^(2) = x^(2) \\\\98 = x^(2) \\\\7√(2) = x = 9.9$

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