<h3>
Answer: 3. Postulate</h3>
A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.
Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5
To find the volume you use the formula—> length x width x height.
For the first problem you’ll solve 5 x 3 x 2 which is 30.
For the second one you’ll do the same thing. For this one you’ll do 3 x 3 x 2 which is 18.
<h3>Exact
Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>
The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places
note that (160/3)pi is the same as 160pi/3
========================================================
Work Shown:
r = radius = 4
h = height = 10
V = volume of cone
V = (1/3)pi*r^2*h
V = (1/3)pi*4^2*10
V = (160/3)pi exact answer
V = (160/3)*3.14
V = 167.46666....
V = 167.47 approximate answer rounded to two decimal places
Answer:
1755 ft³
Step-by-step explanation:
Volume of a rectangular prism = base area x height
Base area = length x width
15 ft x 9 ft = 135 ft²
Volume = 135 ft² x 13 ft = 1755 ft³
