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stellarik [79]
2 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

Answer:

2\sqrt{5}

Step-by-step explanation:

this is a 30-60-90 Δ and the ratio of the sides are 1 : \sqrt{3} : 2

1 / 2 = \sqrt{5} / x

cross-multiply: x = 2\sqrt{5}

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adell [148]
Here's how to figure out this problem: add up all the numbers in the mark category and divide by the # of numbers there are.

So....

6 + 7 + 8 + 9 + 10 ÷ 5 = 8

8 is your final answer.
4 0
3 years ago
If Yvonne wanted to make 3 dresses that use 4 7/8 yards of fabric each, how could she estimate to make sure she has enough fabri
Varvara68 [4.7K]
"4 7/8 yards is almost 5 yards. To make certain that you have enough fabric, round up. <span>3 dresses at 5 yard each is 15 yards."</span>
3 0
2 years ago
Hank has large of trail mid weighs 7.8 pounds. He uses the mix in the large bag to make bags each containing 0.6 pounds of mix.
KonstantinChe [14]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a
likoan [24]

Answer:

\text{Volume of cat box}=3.52\text{ ft}^3

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

1\frac{1}{10}=\frac{11}{10}=1.1

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}

\text{Volume of cat box}=3.52\text{ ft}^3

Therefore, the volume of the cat box is 3.53 cubic feet.

8 0
3 years ago
Help I guess? sorry I'm asking a lot of questions today
valina [46]

Answer:

63 houses have been sold this year.

Step-by-step explanation:

There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.

In this case, you would multiply 81 by 7/9 to get your answer.

81/1 x 7/9:

Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.

4 0
3 years ago
Read 2 more answers
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