Answer:
c. 9/12
Step by step explanation.
Given: sin = 9/15
and,
thus, find adj. side
by using Pythagoras theorem
then,
let adj. side be a^
thus,
adj. side is 12
then,
tan of the angle = 9/12
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
We set up a proportion: 80/?= 32/100
Cross multiply: 32*?= 80*100
⇒ ?= 80*100/32= 250
80 is 32% of 250.
X=52 (vertically opposite angles)
