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musickatia [10]
3 years ago
10

I need help with finding the answers to 12,13&14

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
12.
sin(28) = 0.4694...
8/0.4694... = 17.0404...(That is the scale factor)
tan(28) = 0.5317...
17.0404... X 0.5317.... = 9.0605... ~ 9

13. 
tan(37) = 0.75355...
5/ 0.75355... = 6.635...(SC)
sin(37) = 0.60181...
0.60181... X 6.635... = 3.9931... ~ 4

14.
∠E = 37
cos(37) = 0.7986...
8/0.7986... = 10.0170...(SC)
tan(37) = 0.75355..
10.0170... X 0.75355... = 7.5484... ~ 8
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Answer:

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Multiply the numerator and denominator by the conjugate.

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If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator.   If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...

Note that the phrase "perfect square" means that you can take the square root of it.  Just as "perfect cube" means we can take the cube root of the number, and so forth.  

Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.

Step 2: Make sure all radicals are simplified.

Some radicals will already be in a simplified form, but make sure you simplify the ones that are not.  If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.

Step 3: Simplify the fraction if needed.

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The matching is done below

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1) 3 is the difference of 2 times d minus 3.

As, 2*d - 3

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2) 4 is 4 added to the difference of d minus 3.

or, 4 + (d - 3)

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<em><u>Solution:</u></em>

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From given,

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