Answer: the length of the prism is 9cm
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the rectangular prism is three times the width.. It means that
L = 3W
The height and the width are the same. This means that
H = W
Therefore,
Volume = 3W × × W × W = 3W³
If the volume of the prism is 81 cubic centimeters, it means that
81 = 3W³
Dividing through by 3, it becomes
81/3 = 3W³/3
W³ = 27
Taking cube root of both sides, it becomes
W = 3
Therefore, the the length of the prism would be
L = 3W = 3 × 3
L = 9 cm
Saturday night after the marshmallows ran out, the counselor
threw 30 cold stones on the campfire, and sent the campers
to bed in their tents.
But several campers noticed that there were still live coals in
the fire. This was a tent situation, and they knew that they
should not leave until it's completely out. So they each
picked up 10 cold stones and they all threw those on the fire
too. Then the fire was really out, so they all went to their tents.
In the morning the same campers who threw 10 stones apiece
onto the fire all got together and went to look at it. It was definitely
stone cold, so they spread it out and counted all the stones in it.
They found that there were exactly 100 stones. How many
campers threw stones on the fire after the counselor left ?
Answer:
96 feet
Step-by-step explanation:
Velocity = distance/time
From the question , the velocity = 96 feet per sec
Time t = 1
Using the above formula
96 = d/1
Cross multiply
d = 96 feet
Meal was $25
Tip was $2
Total spent was $27
$9 x 3 = $27
No Missing Buck
Use FOIL. (First, Outside, Inside, Last). Remember to combine like terms afterwards.
(6x - 9)(5x + 4)
(6x)(5x) = 30x²
(6x)(4) = 24x
(-9)(5x) = -45x
(-9)(4) = -36
30x² + 24x - 45x - 36
combine like terms
30x² + (24x - 45x) - 36 => 30x² - 21x - 36 (answer)
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(3x² + 2x)(x - 6)
3x²(x) = 3x³
3x(-6) = -18x
2x(x) = 2x²
2x(-6) = -16x
Combine like terms
3x³ + 2x² - 18x - 16x
3x³ + 2x² - 34x is your answer
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(2x² - 5x + 3)(4x³ - 1)
FOIL: Distribute each number in one parenthesis to all monomials in the other
4x³(2x²) = 8x^5
4x³(-5x) = -20x^4
4x³(3) = 12x³
-1(2x²) = -2x²
-1(-5x) = 5x
-1(3) = -3
8x^5 - 20x^4 +12x³ - 2x² + 5x -3 is your answer
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hope this helps
