The answer is 3 and 3.16227766017
First, you set up the equation which would be 5y-8=3y-4.
-3y -3y
2y-8= -4
+8 +8
2y=4
divide by 2
y=2
D. 226.08cm^2
Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.
Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.
Thus, A = 2(3.1415)(6)^2 = 226.08cm^2
Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545