Question

PLEASE HELP!!

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

Answer 1

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`

#teamtrees #PAW (Plant And Water)