Answer:
![\large\boxed{y=76.3359\ cm\approx76.3\ cm}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D76.3359%5C%20cm%5Capprox76.3%5C%20cm%7D)
Step-by-step explanation:
Use cosine:
![cosine=\dfrac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cosine%3D%5Cdfrac%7Badjacent%7D%7Bhypotenuse%7D)
We have
![adjacent=73\ cm\\hypotenuse=y](https://tex.z-dn.net/?f=adjacent%3D73%5C%20cm%5C%5Chypotenuse%3Dy)
and the angle 17°.
![\cos17^o\approx0.9563](https://tex.z-dn.net/?f=%5Ccos17%5Eo%5Capprox0.9563)
Substitute:
<em>convert the decimal to the fraction</em>
<em>cross multiply</em>
<em>divide both sides by 9563</em>
![y=\dfrac{730000}{9563}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B730000%7D%7B9563%7D)
![y\approx76.3359](https://tex.z-dn.net/?f=y%5Capprox76.3359)
-x-29=13+2x
-29=13+3x
-42=3x
x=-14
Answer:
150 miles
Step-by-step explanation:
use the pythagoerean theorem
42^2 + 144^2 = c^2
1764+20736=c^2
22500 = c^2
c= 150 miles
The answer is A. the shark wouldn’t have large fish to eat.
Answer:
40 in.^2
Step-by-step explanation:
Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.
The area of a right triangle can be found using the equation (a*b)/2.
The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 =
= 24 in.^2
The 2 legs of T2 are 8 in. and 4 in.
Area of T2 =
= 16 in.^2
Area of shaded region = 16 + 24 = 40 in.^2