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3 years ago

8

The volume of a rectangular prism is 128 cubic yards. The base of the prism has an area of 8 square yards. What is the height of

the prism?

1 answer:

xenn [34]3 years ago

5 0

Answer:

The height of the prism is 16 yards

Step-by-step explanation:

To get the height of the prism, we simply divide the volume of the prism by its base area

Mathematically, we have this as;

128/8 = 16 yards

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A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400

GrogVix [38]

1400 * 0.03 = 42

he earns $42.00

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3 years ago

A turtle is on a rock that is 1.1 feet above sea level. The turtle dives under water. The turtle's total change in altitude duri

ss7ja [257]

Answer:

1.1-5.4=4.3

Step-by-step explanation:

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2 years ago

Which description of the vector shown is correct ?

BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

$(x_1,y_1)=(3,-6).$

The coordinate of the head of the vector,

$(x_2,y_2)=(-4,1).$

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector $= \sqrt{(1-(-6))^2+(-4-3)^2}$

$=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}$

Now, let $\theta$ be the angle made by the vector with the positive direction of the x-axis, so

$\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.$

So, the magnitude of the vector is $7\sqrt 2$ which makes $135 ^{\circ}$ with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0

3 years ago

Read 2 more answers

Consider the following data set:<br> 11, 6, -2, -4 -5, 0, 8, 15<br> ,<br> Find the median.

s2008m [1.1K]

$\bold{ANSWER:}$
Median —> 3

$\bold{SOLUTION:}$

7 0

2 years ago

Solve the variable<br> -10+ s/1.5= -5

patriot [66]

Answer:

s = 15 over 2 (15/2 fraction) or 7.5

3 0

3 years ago