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3 years ago

What is the depth and volume of this rectangular prism in cubes and cubic inches?

Mathematics

1 answer:

Inessa05 [86]3 years ago

6 0

Height = 3 cubes
Width = 5 cubes
Depth = 4 cubes

Number of Cubes = 3*4*5 = 60

Each cube is .2 inches on each side

So, it's volume = 1 * .6 * .8 = .48 cubic inches

Double - Check
Each cube is .2*.2*.2 = 0.008 cubic inches
There are 60 cubes so the volume =
60 * .008 = .48 cubic inches CORRECT !!

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The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

Korvikt [17]

Answer:

$A'(1,-5)$

Step-by-step explanation:

The coordinates of the given quadrilaterals are

$A(-5,1),B(-4,3),C(-2,1),D(-3,-1)$

The reflection in the line $y=x$ has the mapping,

$(x,y)\rightarrow(y,x)$

We just have to swap the coordinates.

This implies that,

$A(-5,1)\rightarrow A'(1,-5)$

$B(-4,3)\rightarrow B'(3,-4)$

$C(-2,1)\rightarrow C'(1,-2)$

$D(-3,-1)\rightarrow D'(-1,-3)$

Therefore the correct answer is A.

$A'(1,-5)$

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2 years ago

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How many times can 5 go into 44

UkoKoshka [18]

8 is the answer ....

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3 years ago

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7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

natali 33 [55]

9514 1404 393

Answer:

7. d. l = 6.48 cm, w = 6.48 cm

8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

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2 years ago

A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.20. If a point on

Alexxx [7]

Answer:

We have

tan 12.5 = 60 / adj rearrange as

adj = 60 / tan 12.5 = about 270.64 m

Step-by-step explanation:

Mark me brainllest

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2 years ago

Use complete the square to solve 5x²-7x-3=0

Yuki888 [10]

Step-by-step explanation:

ax2 + bx + c = 0

x12 = (-b ± √D) / 2a , D = b2 - 4ac .

5x2 + 7x + 3 = 0

a = 5 , b = 7 , c = 3

D = 49 - 60 = - 11 , x1 = (-7 - i √11) / 10

x2 = (-7 + i √11) / 10

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2 years ago

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