In the triangle shown below, find the value of a.

We're going to use sin to solve for side a.

sin(45) = a/(9√(2)). Multiply each side by 9√(2)

9√(2) x sin(45) = a. Solve for a

9 = a

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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