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2 years ago

PLEASE HELP, I don’t understand it at all!!

Mathematics

2 answers:

netineya [11]2 years ago

7 0

Answer:

15km

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

9²+12²=c²

81+144=c²

225=c²

Square root both sides

c= 15km

GuDViN [60]2 years ago

4 0

Answer:

d=15

Step-by-step explanation:

So in this question we are using the Pythagorean Theorem. a^2 + b^2 = c^2

The side opposite to the right angle is the hypotenuse.

So to solve the equation put in the values for a and b.

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

Now take the square root of 225

$\sqrt{225}$ = 15

so d = 15

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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:

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

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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.

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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...

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Distribute the 8y² to each term inside the parentheses.

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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.

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

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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.

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

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Step-by-step explanation:

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Step-by-step explanation:

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