Answer:
D semi-sphere with diameter 10
Step-by-step explanation:
Rotating this along line m will give us a semi-sphere with diameter 10 ( radius 5)
It will be half of a ball
Answer:
x = 8
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Multiply -4/3 to both sides:
(-4/3)(-6) = (-3/4)(-4/3)x
x = (-4/3)(-6)
Simplify:
x = (-4 * -6)/3
x = (24)/3
x = 8
8 is your answer for x.
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Step-by-step explanation:
S = 1 + 3/2 + 5/4 + 7/8 + ...
½S = 1/2 + 3/4 + 5/8 + 7/16 + ...
Subtracting:
S − ½S = 1 + 3/2 − 1/2 + 5/4 − 3/4 + 7/8 − 5/8 + ...
Simplifying:
S − ½S = 1 + 1 + 1/2 + 1/4 + ...
Writing in summation form:
S − ½S = 1 + ∑ ½ⁿ⁻¹
½S = 1 + ∑ ½ⁿ⁻¹
S = 2 + 2 ∑ ½ⁿ⁻¹
Using formula for sum of a geometric series:
S = 2 + 2 (1 / (1 − ½))
S = 2 + 2 (2)
S = 6
Answer:
18 ft. By 13 ft.
Step-by-step explanation: