In AABC, m LACB 90°, CD I AB and m LACD -45°. Find:
Find CD, if BC = 3 in
459
B В
D

CD = (3√2)/2 = 2.12 in.

Step-by-step explanation:

Reference angle = m<BCD = 45°

Hypotenuse = BC = 3 in.

Adjacent side = CD = ??

Apply trigonometric ratio

Cos(45) = CD/3

Multiply both sides by 3

3*Cos(45) = CD

3*√2/2 = CD (cos 45 = √2/2)

(3√2)/2 = CD

CD = (3√2)/2 = 2.12

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)