Volume of a sphere:
V = 4/3 · r³ π
Diameter: d = 180 ft, r = d/2, r = 90 ft
V = 4/3 · 90³ · 3.14
V = 4/3 · 729,000 · 3.14
V = 3,052,080 ft³
Answer:
x = -15
Step-by-step explanation:
7 - 3x = -4(2+x)
7 - 3x = -8 -4x
7 + x = -8
x = -15
Solve for y in 3x+7=y
y=7−3x
Substitute y=7−3x
y=7−3x into 8x−3y=30
8x−3y=30.
17x−21=30
Solve for x
x in 17x−21=30
17x−21=30.
X=3
Substitute x=3 into y=7−3x
y=-2
Therefore,
x=3
y=−2
Answer:
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Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and

We solve for
in the second equation and get:


Now since

Therefore

and

And finally again from the Pythagorean theorem:


Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.