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Likurg_2 [28]
3 years ago
14

A prism is filled with 44 cubes with 1/2 unit side lengths. What is the volume of the prism in cubic units?

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

5.5 cubic units

Step-by-step explanation:

good luck

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An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the ori
Nostrana [21]
Let X be the original price. 
Do a 40% increase we get the price: X+0.4X=1.4X
Doing a 25% off we get the new price:
(1.4X)-0.25(1.4X)=1.05X 
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The new prices are 5% increase from the original price. 

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3 years ago
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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
What is the measure of angle C
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You need to learn no to copy it kiddo
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3 years ago
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if a number line plot starts from 2 (including the point) and extends towards positive infinity, the corresponding inequality is
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Answer:

2 \leqslant y \leqslant  \infty

Step-by-step explanation:

y is equal to 2 and goes up to infinity

6 0
2 years ago
Which expression gives the area of the triangle shown below
cestrela7 [59]

Answer: 1/2cx B

Step-by-step explanation

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7 0
2 years ago
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