Answer:
see explanation
Step-by-step explanation:
The figure shown has one pair of parallel sides and is a trapezium
The area (A) of a trapezium is calculated using
A =
h(a + b)
where h is the height and a, b the length of the parallel sides
here h = 2w, a = w + 3 and b = 4w - 2, hence
A =
× 2w(w + 3 + 4w - 2)
= w(5w + 1) = 5w² + w
Answer:
Step-by-step explanation:
17) B. They are adding 2 to both sides.
18) A. A segment is equal to itself.
19) D. They are multiplying both sides by 2.
20) C. They are simply swapping the left and right hand sides of the equation
Answer:
1st ans
(8x+19)=(9x+9)(vertically opposite angle)
19-9=9x-8x
x=10
2nd ans
(3x-31)=(x+59)(exterior alternate angle)
3x-x=59+31
2x=90
x=90/2
x=45
3rd ans
(5x-33)+(6x+4)=180(straight angle )
11x-29=180
11x=180+29
x=209/11
x=19
Answer:
The answer is 3418.1 ft rounded to the nearest tenth.
Step-by-step explanation:
The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.
The area of the circular base can be calculated as

where r is the radius of the circular base, which is 8 ft.
The area of the circular base is

We also know the height of the cylinder is 17 ft.
Hence, the volume of the cylinder is

This will be rounded up to 3418.1 with the nearest tenth