Answer:
10 miles
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Answer:
13.62 m
Step-by-step explanation:
We are to determine the value of the adjacent side given the value of the hypotenuse
we would use cos to determine this value
cos 63 = adjacent / hypotenuse
0.45399 = x / 30
x = 30 x 0.45399 = 13.62
Answer:
1: r = 2.4 cm
2: V = 57.8765 cm^3
Step-by-step explanation:
1:
The volume of a sphere is given by V = (4/3) * pi * (r^3), being 'r' its radius.
So if the volume is 463.01 cm^3, we have that:
463.01 = (4/3) * pi * (r^3)
463.01 * 3 = 4 * 3.14 * r^3
r^3 = 463.01 * 3 / (4 * 3.14) = 110.59156
r = 4.8 cm
2:
The radius of the second sphere is 4.8/2 = 2.4 cm, so its volume is:
V = (4/3) * 3.14 * (2.4^3) = 57.8765 cm^3
Step-by-step explanation:
15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.
So if sin A = m, then cos B = m.
16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.
a. cos 60° = sin θ
60° + θ = 90°
θ = 30°
b. sin 71° = cos θ
71° + θ = 90°
θ = 19°
c. sin θ = cos (θ + 20°)
θ + θ + 20° = 90°
2θ = 70°
θ = 35°
d. sin (θ − 60°) = cos θ
θ + θ − 60° = 90°
2θ = 150°
θ = 75°
Answer:
738 x 695 = 512910
795 x 695 = 552525
Step-by-step explanation:
