By exterior angle property
By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
Answer:
D.
Step-by-step explanation:
sec A = 1/sin A
cos theta = -2/sqrt(3)
sec theta = 1/[-2/sqrt(3)] = -sqrt(3)/2
Answer: D.
Answer:
cup of hot sauce is required by Jenkins for the party.
Step-by-step explanation:
We are given the following in the question:
Total number of people in party = 48
9 people requires a serving of 
cup of hot sauce.
Ration of number of cups of hot sauce to number of people is:
Now, we have to find the amount of hot sauce Jenkins need foe the party.
We can calculate it in the following manner:
Thus, cup of hot sauce is required by Jenkins for the party.
Answer:
(A) 126
Step-by-step explanation:
x/9 =14
Multiply each side by 9
x/9*9 =14*9
x =126
