Answer:
9.2
Step-by-step explanation:
Use law of sines
a/sinA = b/sinB
5/sin 31 = b/sin 108
b=9.2
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.
to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.
large area :
12 × 15 / 2 = 6 × 15 = 90 ft²
small area :
8 × 10 / 2 = 4 × 10 = 40 ft²
the shaded area is
90 - 40 = 50 ft²
0.65 x 10 = 6.5
0.65 is 10 times as much as 6.5
Answer:
The angle is about 30.27 degrees.
Step-by-step explanation:
Use the trig ratio cosine because you are given the adjacent leg and the hypotenuse.

Plug into a calculator
Rounded to the nearest hundredth the angle is 30.27 degrees.
We could put the domain into the x values to get the y values (range).
y = 3(-3) - 4
y = -9 - 4
y = -13
y = 3(-1) - 4
y = -3 - 4
y = -7
y = 3(4) - 4
y = 12 - 4
y = 8