Given the sample triangle below and the conditions sin B = 1/2, a= 20 , find te hypotenuse of triangle

1 answer:

7 0

Draw a triangle with horizontal base and hypotenuse rising from lower left to upper right at a 30 deg. angle.
The side labelled a =20 can't be the hypotenuse otherwise why ask to find the hypotenuse? It can't be the 
vertical side because, for sin = 1/2, vertical = (1/2)hypotenuse and hypotenuse = (2)vertical = 40. This 
would trivialize the problem so the only side to be labelled a = 20 is the horizontal base. So we label the 
vertical side t and the hypotenuse 2t. Then we have (2t)^2 = t^2 + (20)^2, ie., 3t^2 = (20)^2, t = 20/rt3, and 
2t

ANSWER:hypotenuse = (40/3)rt3.

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An elf ate 15 of your muffins. that was 5/8 of all of them. how many are left?

zavuch27 [327]

Answer: 9

Step-by-step explanation:

An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:

We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.

5/8 of y = 15

5/8 × y = 15

0.625 × y = 15

0.625y = 15

Divide both side by 0.625

0.625y/0.625 = 15/0.625

y = 24

The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

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Ilya [14]

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Example

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