Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
Answer:
4g - 1
Step-by-step explanation:
4 and -5 are numbers
While, -6g and 10g are variables.
Add numbers and variable separately.
4 + -6g + 10g + -5
= 4 - 5 + 10g - 6g
= - 1 + 4g
= 4g - 1
Answer:
$26.8548
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
All the given arcs cover the entire circle circumference, so their measures add up to a full 360.
(2x - 16) + (x + 40) + x + 60 = 360
4x + 84 = 360
4x = 276
x = 69
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