Andrea is 4 inches taller than Pierre. If their combined heights total 152 inches, how tall is Andrea and Pierre? Write a let statement(s) and set up the equation. then solve.

Okay, so to find this out, we need to place aside 4 inches for Andrea, but we will not add them to her total yet:

Andrea: 0 in

Pierre:   0 in

Total:  (152 - 4 =) 148 in

[set aside: 4 in]

Now that the 4inches are set aside, we just need to divide the Total Height in half, because there are 2 people who are sharing this amount:

148 ÷ 2 = 74

Now that we have the answer for this, we now have Pierre's height:

Andrea: 0

Pierre:  74

Total:    74

[set aside: 4 + 74]

And we then take the Set Aside amount, and make it Andrea's height:

Andrea: 78

Pierre:   74

Total:    152

[set aside: 0]

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

the answer to your question is minor arc.