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DanielleElmas [232]
3 years ago
11

A 12 foot board is cut so that one piece is 5 times as long as the other. Find the length of each piece.

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

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Step-by-step explanation:

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3 years ago
Which statement is true?
aleksandrvk [35]
<h3>Answer: Choice D</h3>

To calculate a point estimate, we need to know the sample size.

===========================================================

Explanation:

Let's go through the answer choices.

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2 years ago
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Ainat [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
In a parallel circuit, ET = 208 V, R = 33 kΩ, and XL = 82 kΩ. What is the apparent power?
jeka94

Answer:

Apparent power is 1.413Volt-Amps.

Step-by-step explanation:

We are given that in a parallel circuit,E_{T}=208V,R=33kΩ and X_{L}=82kΩ.

And we are asked to find apparent power.

Apparent power is the combination of true power and reactive power.

In other words, we can say that in a power triangle apparent power is the hypotenuse where as true power and reactive powers are sides.

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Hence apparent power=\sqrt{1.311^{2}+0.528^{2}} =1.413VA

5 0
4 years ago
A semicircle has an area of 76.97 km² . Find its radius
vagabundo [1.1K]
Area of a semicircle = 1/2 πr² 

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Multiply both sides by 2:
</span>πr² = 153.94

Divide both sides by π:
<span>r</span>² = 49

Square root both sides:
r=√49

r = 7

Answer: r = 7
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3 years ago
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