Answer: x = 12.124
y = 14
Step-by-step explanation:
In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.
7/sin(30) = 14
You can use the Pythagorean Theorem to calculate x.
14^2= 7^2 + x^2
196 - 49 = x^2
147 = x^2
sr/rt 147 = sq/rt x^2
12.124 = x
Or with trig
7/tan(30)= 12.124
Answer:
Arc length is 
Step-by-step explanation:
We have,
Central angle is 15 degrees and the radius of the circle measures 9 inches.
It is required to find the arc length of the sector.
The relation between arc length and the central angle is given by :

Circumference, 


Hence, the correct option is (b).
There are three different choices for the American.
There are 16 different choices for the first non-American and 15 different choices for the other non-American.
So, there are 3 x 16 x 15 different groups.
But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).
Thus, there are 6 x 3 x 16 x 15 different results.
Hello,
f(x)=x^3-11x²+40x-48
f(3)=3^3-11*3²+40*3-48=0
f(x)=(x-3)*(x-4)²
Answer D