Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

$\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17} \\ \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\ \\ \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\ \\ \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)$

3 0

3 years ago

I need the answer :(

madreJ [45]

Answer:

z = 62

y = 117

Step-by-step explanation:

118 and z are supplementary.

z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.

z = 180 - 118 Do the subtraction

z = 62 Answer

The interior angles of all quadrilaterals (convex) add up to 360 degrees.

y + z + 84 + 97 = 360 Given

62 + y + 84 + 97=360 Add

y + 243 = 360 Subtract 243 from both sides

y = 360 - 243 combine

y = 117 Answer

5 0

3 years ago

Find The Slope Of The Line

Ulleksa [173]

Answer:

-1/3

Step-by-step explanation:

To find the slope you have to find the rise over run. Start at the first point then go down 3 and over to the right 1. Your slope is -1/3.

4 0

3 years ago

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