Answer:
12.449899598
Step-by-step explanation:
You would use pythagoras thereom.
C^2=A^2+B^2
The hypotenuse is C (which is the longest side of the triangle - 18).
18×18=13×13+B^2
324=169+B^2
324-169=B^2
155=B^2
Square root B to get B on it's own which would be 12.449899598.
Answer:
30 degrees
Step-by-step explanation:
P+Q+R=180
80+70+Q=180
Q=30
PQR = angle Q
Answer:
The answer is 17.6
Step-by-step explanation:
Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.
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.