Answer:
Volume of a sphere = 4πr³/3
r=10
V = 4πx10³/3
=4000π/3
V= 1333.33π (in terms of pi)
or
V= 4188.79(Nearest Hundredth).
Answer:
10 pages
Step-by-step explanation:
1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages
20 minutes goes into 2 and 1/2 hours 7.5 times
Answer:
x=2, y=16
Step-by-step explanation:
x+y=18
y=8x
x+8x=18
x=2
y=16
Answer:
- sin(2x) = -4/5
- cos(2x) = 3/5
- tan(2x) = -4/3
Step-by-step explanation:
It may be easiest to start with tan(2x).
tan(2x) = 2tan(x)/(1 -tan(x)²)
tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)
tan(2x) = -4/3 . . . . . still a 4th-quadrant angle
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Then cosine can be found from ...
cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)
cos(2x) = 3/5
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Sine can be found from these two:
sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)
sin(2x) = -4/5
