N = nickels and q = quarters
0.05n + 0.25q = 1.90
n = 2q + 3
0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters
n = 2q + 3
n = 2(5) + 3
n = 10 + 3
n = 13 <=== there are 13 nickels
If two sides of a right triangle are x and y, the hypotenuse, h is:
h^2=x^2+y^2, in this case x and y are 39 and 52 respectively so:
h^2=39^2+52^2
h^2=1521+2704
h^2=4225
h=√4225
h=65 in
So the hypotenuse is 65 inches.
Answer:
b. 0.86, 0.87
Step-by-step explanation:
a. Find attached solution to a
Answer:
tita = 0 , 180, 270, 360. ( tita = 0 ≤ x ≤ 360).
Step-by-step explanation:
sin tita + sin ^2 tita = 0
sin tita( sin tita + 1) = 0
sin tita = 0, - 1.
For angles between 0 and 360 inclusive sin = 0 gives 0, 180 and 360 degrees. The angle whose sine is -1 is 270 degrees.
tita = 0 , 180, 270, 360.
Since PB' = (3/5)*PB, the scale factor is 3/5, the 2nd choice.
