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 is 2 feet. What is thevolume of the display of game console boxes? Show your work and explain your answer

Answers

Answer 1

Answer: Volume=length*width*heightV=2*2*2 or V+2^3V=8The volume of the display is 8 cubic feet

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What is the length of Line BC?

Answers

The length of Line BC is 10

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What are similar triangles?

Triangles having the same corresponding angles measures and proportional side lengths are called similar triangles.

How to find the length of the line BC?

Considering Δ AXY and ΔABC

∠AXY = ∠ACB (corresponding angles are equal)

∠AYX = ∠ABC (corresponding angles are equal)

∠A is common in both the triangles

∴ We can say the triangles are similar .

Now, let H be the height of ΔABC and h be the height of ΔAYX

So, we can say, $(XY)/(BC) = (h)/(H)$

Now, we know that area of the triangle can be found with the help of the formula (1/2)x(base)x(height)

So, $(AYX)/(ABC) = (7.5)/(30)$

⇒ ${((1)/(2) (XY) h )/((1)/(2)(BC) H ) = (1)/(4)$

Now, substituting XY = 5 and $(XY)/(BC) = (h)/(H)$ in the above equation, we get

$(25)/(BC^(2) ) = (1)/(4)$

⇒ BC² = 100

⇒ BC = ± 10

Since BC is the length , so it cannot be negative.

So, the negative value is rejected.

∴ BC = 10

Option B is correct.

Find more about "Similar Triangles" here: brainly.com/question/2644832

#SPJ2

ANSWER:

10

The length of line BC is 10.

EXPLANATION:

Triangle ABC is four times the area of triangle AYX.

Area of triangle ABC = 4 × Area of triangle AYZ

This is as:

30 = 4 × 7.5

THEREFORE:

The length of line BC must be twice of the length of line XY.

BC = 2 × XY

BC = 2 × 5

BC = 10

If you have $21 and the discount rate is 5% , how much money do you get off?

Answers

$5\%\cdot\$21.00=0.05\cdot\$21.00=\$1.05\n\nAns.\ \$1.05$

5% of 21

= 5 / 100 * 21

= 105 / 100

= 1.05$

Thus, you will get 1.05$ off.

I am a factor of 22 but not a multiple of 2

Answers

U are 112×11= 22But 2 is a factor of 2 so then the number left is 11 so the answer is 11

Factors of 22: 1, 2, 11, 22
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, ...

1 and 11 are factors of 22 but not multiples of 2.

Can someone explain to me why the answer is 3cos3x (it has something to do with chain rule i think)

Answers

Use the fundamental theorem of calculus. It says that

$\displaystyle(\mathrm d)/(\mathrm dx)\int_{\text{constant}}^(g(x))f(t)\,\mathrm dt=f(g(x))\cdot(\mathrm dg)/(\mathrm dx)$

In this case, $g(x)=3x$ and $f(t)=\cos t$ . Then

$\displaystyle(\mathrm d)/(\mathrm dx)\int_0^(3x)\cos t\,\mathrm dt=\cos(3x)\cdot(\mathrm d)/(\mathrm dx)3x=3\cos3x$

Henry can build 2 birdhouses in 30 minutes. How many birdhouses can he build in four hours? A)
4 birdhouses

B)
8 birdhouses

C)
12 birdhouses

D)
16 birdhouses

Answers

4 hours is 8 half hours
8*2 is 16 so the answer is d

Hope this helps :)

Ok So, He's making 2 birdhouses in 30 minutes, A Hour is 60 Minutes. So that equals 4 birdhouses a hour, So you would just simply think "Ok, So 4,8,12,16 Ok so the Answer is 16." The the answer is D i hoped this helped.

A stockholder sold her shares and made a profit of $1,327. If that is a profit of 22%, how much were the shares worth when she originally purchased them?The original cost is $
(Round to the nearest cent.)

Answers

Answer:

1087

Step-by-step explanation:

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