In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 7 in.?

the length of the hypotenuse is 14 in

Step-by-step explanation:

Focus on the 30 degree angle.  Recall that the sine of an angle is defined as

             opposite side        

sin Ф =

                hypotenuse  

and that sin 30° is always 1/2.

                                7 in                               1

Then sin 30° = must equal      

                         hypotenuse                        2

After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),

so that the length of the hypotenuse is 14 in.

she will most likely have 33  

step-by-step explanation:

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%