Answer:
b) 516.2 cm³
Step-by-step explanation:
1) We can break the figure into two parts, a rectangular prism and a half cylinder.
2) The volume of the rectangular prism can be determined by multiplying 12 × 7 × 5, which is 420.
3) The equation for the volume of a cylinder is πr²h, but since this is half a cylinder, we will need to use the equation 1/2 × πr²h.
4) 1/2 × π × 3.5² × 5. The radius is 3.5, because the diameter is 7.
5) This should give us 30.625π.
6) Now we add 30.625π + 420, which is approximately 516.2.
Answer:
20
Step-by-step explanation:
If angles are the same, then their opposite edges also the same. So 2x-6 = x
If you solve it you will find x=6
Answer:
72√3
Step-by-step explanation:
30 60 90 triangles are what you start out with.
Step 1: 30-60-90
x = 12
WZ = 12√3
Step 2: Area formula
A = 1/2(12)(12√3)
*Since the 2 30-60-90 triangles are congruent, both segments of the base are 12
Plug it into the calc and you should get A = 72√3 as your final answer!