1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
Answer:
114 ft
Step-by-step explanation:
We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.
Answer:
No. It is not.
Step-by-step explanation:
Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15
Answer:
Option A - 
Step-by-step explanation:
Given: The volume of a cylinder = 
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is 
(1)
The formula for volume of a cylinder is 
(2)
Substituting 
in equation (2), we get,
Given that the cone has the same radius and height of that of the cylinder, let us substitute 
in equation (1)
Thus, the volume of a cone with the same radius and height of a cylinder is .
The answer is 19.24
(seriously wish popcorn were that cheap)
