The answer is: 3.91 inches .
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Note: Volume of cylinder: V = (base area) * (height);
in which: V = volume = 384 in.³ ;
h = height = 8 in. ;
Base area = area of the base (that is; "circle") = π r² ;
in which; "r" = radius;
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Solve for "r" :
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V = π r² * (8 in.) ;
384 in.³ = (8 in.) * (π r²) ;
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Divide EACH SIDE of the equation by "8" ;
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(384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ;
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to get:
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48 in.³ = (π r²) in.² * in. ;
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↔ (π r²) in.² * in. = 48 in.³ ;
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Rewrite this equation; using "3.14" as an approximation for: π ;
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(3.14 * r²) in.² * in. = 48 in.³
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Divide EACH SIDE of the equation by:
"[(3.14)*(in.²)*(in.)]" ; to isolate "r² " on one side of the equation;
(since we want to solve for "r") ;
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→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)] = 48 in.³ / [(3.14)*(in.²)*(in.)] ;
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→ to get: r² = 48/3.14 ;
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→ r² = 15.2866242038216561 ;
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To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
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→ +√(r²) = +√(15.2866242038216561)
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→ r = 3.9098112747064475286 ; round to 3.91 inches .
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General rule for the reflection. r(x,y,z)= f(x,-y,z)
Results:
P: (0, - 5, 4)
Y: (-2, - 7, 4)
R: (0, - 7, 4)
A: (0, - 7, 6)
General rule for the translation: t(x,y,z) = r(x+2, y-4,z+3)
Result:
P: (0-2, -5+4 , 4-3) = (-2, -1, 1)
Y: (-2-2, - 7+4, 4-3) = (-4, -3, 1)
R: (0-2, - 7+4, 4-3) = (-2, -3, 1)
A: (0-2, - 7+4, 6-3) = (-2, -3, 3)
Answer:
7m=50.75 is your answer.
Step-by-step explanation:it is 50.75 because 5m=36.25 so you divide 5 on both sides to cancel out the 5 on the left side so you do 36.25 divided by 5 and you get 7.25 so then you multiply 7.25 times 7 and you get 50.75.
gcf = 3
the factors of 12 are 1, 2, 3, 4, 6 and 12
the factors of 45 are 1, 3, 5, 9, 15 and 45
the greatest common factor of 12 and 45 is 3
Answer:
= 1.22 × 109
(scientific notation)
= 1.22e9
(scientific e notation)
= 1.22 × 109
(engineering notation)
(billion; prefix giga- (G))
= 1220000000
<span>(real number)
</span>_________________________________________________
Answer:
= 2.87 × 10-2
(scientific notation)
= 2.87e-2
(scientific e notation)
= 28.7 × 10-3
(engineering notation)
(thousandth; prefix milli- (m))
= 0.0287
<span>(real number)</span>