Step-by-step explanation:
The top part is a cone. It's volume is:
V = ⅓ π r² h
where r is the radius (half the diameter) and h is the height.
The bottom part is a cylinder. It's volume is:
V = π r² h
where r is the radius (half the diameter) and h is the height.
The radius of the cone is 36/2 = 18 ft, and the height is 12 ft. So the volume is:
V = ⅓ π (18 ft)² (12 ft)
V = 4,071.5 ft³
The radius of the cylinder is 36/2 = 18 ft, and the height is 39 ft. So the volume is:
V = π (18 ft)² (39 ft)
V = 39,697.2 ft³
Therefore, the total volume is:
4,071.5 ft³ + 39,697.2 ft³ ≈ 43,769 ft³
Answer:
The answers are options A and B
First solve the inequality
7x < 21
Divide both sides by 7
That's
7x/7 < 21/7
x < 3
The values that satisfy the inequality are
1 and 2 since they are both less than 3
Hope this helps you.
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:
(a) 36
(b) y = 36x-31
Step-by-step explanation:
(a) dy/dx = 18x
slope of tangent at (2, 41) = 18(2)
= 36
(b) using y-y1 = m(x-x1)
y-41 = 36(x-2)
y = 36x-31
Answer:
10 > 2.01
Step-by-step explanation:
Since 2.01 has a point of decimal after the # 2, it is known is a 2 so 10 should be greater than the 2.
