An isosceles triangle used to rack billiard balls has a base of 11.25 inches...
The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches
Given as for a Isosceles triangle :
The base of Triangle = 11.25 inches
The sides of triangle meets at 56°
Let the unknown side measure = x inches
From The property of isosceles triangle
The angle opposite to the same side are equal
I.e = = 56°
So, The third angle = 180° - ( + )
Or, The third angle = 180° - ( 56° + 56° )
∴ The third angle = 180° - 112° = 68°
Now, From isosceles triangle
Tan 56° =
Or, Tan 56° =
∴ x = 11.25 × Tan 56°
Or, x = 11.25 × 1.482 = 16.672 inches
Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches Answer
sin 56/11.25 = sin 62/x
Simplifying, this yields the answer x = 11.9814 which rounds to 11.98.
answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.
the given rate of interest i= 85%
in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.
to convert it in decimal, we divide it by 100, we get
hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.
the answer is a