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
The value of 'y' in the given figure of parallel lines cut by a transversal will be y = 4
As per the question statement, we are given a figure of parallel lines cut by a transversal, and we are supposed to find the value of 'y'.
As per the figure,
(4x + 23) + (9x - 38) = 180 degrees [Pair of linear pair]
13x - 15 = 180
13x = 195
x = 15
Also, (4x + 23) = (21y - 1), [Pair of alternate angles]
4*15 + 23 = 21y - 1
21y = 84
y = 4
Hence, the value of 'y' in the given figure of parallel lines cut by a transversal will be y = 4.
- Parallel lines: Straight lines that are always the same distance apart from one another are called parallel lines. No matter how far apart they are, parallel lines can never come together.
To learn more about parallel lines and transversal, click on the link given below:
brainly.com/question/16701300
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I think the answer is 12.
1/4 mixed together with 1/2 would be 3/4.
3/4 made into the serving size would be 12/16.
And since each serving is 1/16, Jonna can make 12 servings.
g(x) = 4x−8, find g(1/2)
Replace x with 1/2 and solve.
4(1/2) - 8
= 2 - 8
= -6
The answer is -6