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babunello [35]
3 years ago
10

Toby has created a map of his neighborhood. When he drew the map he noticed his house, his friend's house, and the playground fo

rmed a right triangle

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
2nd or 4th option, they appear to be the same
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Rewrite each of the following as an expression of x which does not involve any logs. 100^log10(x)
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The sum of -2 and three times a number
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The sum (addition) of -2 and 3 times (3 ·) a number (n)

-2 + 3n
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Kaylee is decorating a ballroom ceiling with garland. If the rectangular ceiling is 20 meters by 48 meters, how much garland wil
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960

Step-by-step explanation:

7 0
3 years ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
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Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

7 0
3 years ago
Kali trains for a race by running around a track each lap around the track is 400 meters she runs 4 kilometers each day how many
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I am not very sure but it might be 30 laps.
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