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murzikaleks [220]
1 year ago
14

Simplify. √75 OA. 3√5 OB. 15√5 OC. 25√3 OD. 5√3

Mathematics
1 answer:
Ludmilka [50]1 year ago
6 0

Answer:

Option D

Step-by-step explanation:

Using the surd law :

\sqrt{ab} = \sqrt{a}\sqrt{b}

We can find the largest square number that goes into 75 :

Let's write the multiples of 75 :

1 , 75

3 , 25

5 , 15

The only square number is 25

So using the law mentioned above we split √75 into :

√25√3

The square root of 25 is 5

Now we have our final answer of 5√3

Hope this helped and have a good day

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3 years ago
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3 years ago
What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

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angle F = 42 degrees

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we can now insert the values into the formula

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cross-multiply

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f = 10 sin 42° / sin 49°

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angle D= 180° - 91°

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cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

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<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!</em>

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