Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by
. Thus,







or 
or 
We discard the negative value of h since it is a measurement and cannot be negative.

Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
The answer would be A) X=5
Answer:
1/16
Step-by-step explanation:
Both 5 and 80 can be divided by 5.
This reduces the ratio of 5/80 to 1/16.
(0, -3)(2, -2)
slope = (-2 + 3)/(2-0) = 1/2
b = -3
equation
y = 1/2x - 3
answer is A
<span>y = 1/2x - 3</span>