Answer:
65.4
Step-by-step explanation:
Use the Law of Sines here. The Law is as follows:
We only have need for 2 of those 3 proportions. Since we can have only 1 unknown in a single equation, we have to use angle C as that unknown. That means that other angle and side have to be given in the problem. Angle B is given as 45 and side b is given as 7, so we will use those.
We solve for sinC:
Doing that on our calculator gives us
sinC = .9091372901
Taking the inverse sin in degree mode gives you that angle C = 65.4
Answer: B. 5root(3)
Use Pythagorean’s theorem to solve this problem. We know one side and the hypotenuse, so we can solve for the other side.
a² + b²= c²
5² + b² = 10² (plug in 5 for one side, and 10 for the hypotenuse)
25 + b² = 100 (square 5 and 25)
b² = 75 (subtract 75 from both sides)
b=√(75) (take the square root of both sides)
b=√(25*3) (factor out a square)
b=5√(3) (simplify radical)
Answer:
The equation that represents the circle is +
= 13
Step-by-step explanation:
Given the center of circle (14,9) passes through point (16,12)
We know that the equation of circle is
+
=
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get
+
=
=
+
= 13
Substituting the values of (h,K) and as (14,9) and 13 respectively in equation of circle, we get
+
= 13
Hence the equation that represents the circle is +
= 13