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3 years ago

5

Julie was looking at the architect's blueprint of her house. The scale on the blueprint was inch = 1 foot. On the blueprint, wha

t are the dimensions of her bedroom if the actual dimensions of her bedroom are 12 feet by 16 feet?

1 answer:

coldgirl [10]3 years ago

7 0

12 inches by 16 inches

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If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.

anastassius [24]

Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length

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2 years ago

What is the volume of the right triangular prism shown?

ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

$S=\frac{a+b+c}{2}$

Substituting a = 8, b = 15 and c = 17. Thus, we have;

$S=\frac{8+15+17}{2}$

$S=\frac{40}{2}=20$

Using Heron's formula, we have;

$Area = \sqrt{S(S-a)(S-b)(S-c)}$

$Area = \sqrt{20(20-8)(20-15)(20-17)}$

$Area = \sqrt{20(12)(5)(3)}$

$Area = \sqrt{3600}$

$Area = 36$

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

$V=\frac{1}{2}A_b h$

where $A_b$ is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

$V=\frac{1}{2}(60\times 15)$

$V=450$

Thus, the volume of the right triangular prism is 450 cubic units.

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3 years ago

To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21

stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda 4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7 same as 12:21

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3 years ago

Solve x^2+11X<-8 Urgent please help!!!!!

Tamiku [17]

Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2

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3 years ago

Find the mean without the outlier <br> 15, 34, 38, 42, 43, 36, 40, 35, 36, 38,

Temka [501]

Is real confusing with this outliers

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3 years ago