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soldi70 [24.7K]
2 years ago
5

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?
Mathematics
2 answers:
alukav5142 [94]2 years ago
6 0

Answer:

144 square pyramids

Step-by-step explanation:

tensa zangetsu [6.8K]2 years ago
3 0
Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches

Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches

volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144 

She can make 144 square pyramids.
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Which table contains only corresponding x-values and y-values where the value of y is one more than the product of x and 2?
Dmitry [639]

Answer:

Option (C)

Step-by-step explanation:

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Equation representing the given condition will be,

y = 2x + 1

Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,

x        0       1         2        3        4

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4 0
2 years ago
A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inche
Mademuasel [1]

Answer:

The correct option is

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Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

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The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

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Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is \dfrac{1}{c} \times \left | x - 5 \right | = 0.3 or \left | x - 5 \right | = 0.3 \times c which gives the correct option as A

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x

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Inequality that describes the numbers x less-than 7 is x

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2 years ago
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Answer:

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