Answer:
D
Step-by-step explanation:
sin A = opp. /hyp. = CB/AB = 12/ 15 so CB =12 and AB=15
apply Pythagorean Th. for triangle ABC to find AC
AC²= AB²-CB² = 15²-12² = 81; AC = √81=9
tan A = opp./adj. = CB /AC = 12/ 9 = 4/3
4 cups of pecans = 5 cups of walnuts
x cups of pecans = 8 cups of walnuts
CROSS MULTIPLY
4*8 =5x
5x = 32
DIVIDE BOTH SIDES BY 5
5x/5 = 32/5
x=6.4
Therefore, 6.4 cups of pecans would be added to 8 cups of walnuts
lateral area = 2 X pi X r X H
= 2 x 3.14 x 5 x 9 = 282.6
Answer:
x = 13
y = 9
Step-by-step explanation:
Since this is a square all the side lengths would be equal to each other
4x - 22 = 2x + 4
4x - 2x = 4 + 22
2x = 26 divide both sides by 2
x = 13
5y - 15 = 3x + 3
5y - 3x = 3 + 15
2y = 18 divide both sides by 2
y = 9