Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2
1/5 is 2% or 0.2, therefor 2/5 is 4% or 0.4
Answer:
Depth of the rain gutter is 8 inches
Step-by-step explanation:
Let’s assume ‘x’ is the depth of the rain gutter
Then the width of the rain gutter can be written as 16 - 2x
Cross sectional area
A = depth x width
Substitute values
A = x*(16 - 2x)
A = 16x – 2x^2
Now according to axis of symmetry for maximum area x = -b/2a
x = -16/2*(-2)
x = 4 inches depth of rain gutter, substitute the value of x to get
Width of rain gutter 16 – 2(4) = 8 inches
Area of the rain gutter for maximum water flow
A = 4 * 8
A = 32 square inch.