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Zepler [3.9K]
3 years ago
10

A video game store made a display of game console boxes show at the right. the length, width and high of each game console box i

s 2 feet. What is the
volume of the display of game console boxes? Show your work and explain your answer
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0
Volume=length*width*height V=2*2*2 or V+2^3 V=8 The volume of the display is 8 cubic feet
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nydimaria [60]

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(\angle J)=\frac{22}{54}

Using inverse sine or arcsin, we will get:

\angle J=\text{sin}^{-1}(\frac{22}{54})

\angle J=24.042075905756^{\circ}

Upon rounding to nearest degree, we will get:

\angle J\approx 24^{\circ}

Therefore, the measure of angle J is approximately 24 degrees.

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