Answer:
Assuming that a is supposed to be q:
80
Step-by-step explanation:
Answer:
13 is c
Step-by-step explanation:
to find the length of a diagonal, pretend as if you are finding the hypotenuse of a triangle.
5^2 + 12^2 = c^2
25 + 144 = 169
the square root of 169 is 13
5(x - 6) + 4 = 7x - 4
5x - 30 + 4 = 7x - 4
5x - 26 = 7x - 4
5x - 26 + 4 = 7x
5x - 22 = 7x
-22 = 7x - 5x
-22 = 2x
-22 / 2 = x
-11 = x
x = -11 is the solution to the given equation
9514 1404 393
Answer:
- cable length: 300.2 ft
- anchor distance: 193.0 ft
Step-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
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Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.