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2 years ago

Write your answer in simplest radical form

Mathematics

1 answer:

mixas84 [53]2 years ago

8 0

9514 1404 393

Answer:

4√2

Step-by-step explanation:

In a 30°-60°-90° triangle, the ratio of side lengths is ...

1 : √3 : 2

That is, the hypotenuse (c) is double the short side (2√2).

c = 4√2

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In a company, 80% of the workers are women. If 480 men work for the company, how many workers are there in all? Use pencil

nekit [7.7K]

Answer:

The total workers are 2400.

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

In first way:

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be $x$ .

According to question:

$20\%\ of \ x=480$

⇒ $\frac{20}{100} \times x=480$

⇒ $0.20\times x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Now, in second way.

Again, let the total workers be $x$ .

According to question:

$x-80\%\ of\ x=480$

⇒ $x-\frac{80}{100}\times x=480$

On solving:

⇒ $x-0.80x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Therefore, the total workers are 2400.

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chad has 22 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 460 cents, how many di

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Step-by-step explanation:

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3 years ago

Help.. solve for the given variable -5(r - 6) + 3(-8 + 8r) = -32

12345 [234]

-5(r - 6) + 3(-8 + 8r) = -32

STEP 1: Simplify both sides of the equation.
(−5)(r)+(−5)(−6)+(3)(−8)+(3)(8r)=−32 (Distribute)
−5r+30+−24+24r=−32(−5r+24r)+(30+−24)=−32 (Combine Like Terms)
19r+6=−3219r+6=−32

STEP 2: Subtract 6 from both sides.
19r+6−6=−32−619r=−38

STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2

FINAL ANSWER: r = -2

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3 years ago

Read 2 more answers

Write your answer in simplest radical form​

Write your answer in simplest radical form