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dybincka [34]
4 years ago
6

Tamara stacked two cubes, as shown. 2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side length

s of 12 inches. What is the total volume of the cubes? 1st cube volume: V = Bh V = (12)(12)(12) 2nd cube volume V = Bh V = (24)(24)(24) The total volume of the cubes is cubic inches.
Mathematics
1 answer:
MaRussiya [10]4 years ago
7 0

Answer:

15 552 in³

Step-by-step explanation:

Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.

Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³

Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³

Now, to find the total, just add the volumes.

13 824 + 1 728 = 15 552 in³

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Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
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A .cos(x)<1

Step-by-step explanation:

According to the first inequality

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x < arccos 1

x<0

This therefore does not have a solution within the range 0 ≤ x ≤ 2pi

x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

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x/2<0

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This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

sinx>1

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x>90°

x>π/2

This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

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This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

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