The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.
<h3>What is the volume of the entire rocket?</h3>
The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.
Volume of the cylinder = πr²h
Where:
- π = 3.14
- r = radius 2
- h= height = 12 - 4 = 8 inches
3.14 x 2² x 8 = 100.48 in³
Volume of the cone = 1/3 πr²h
1/3 x 2² x 3.14 x 4 = 16.75 in³
Volume of the rocket = 100.48 + 16.75 = 117.23 in³
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Answer:
The season will last 4 months after the first month (5 months in total)
Step-by-step explanation:
53 games
9 games first month
11 games per month (since the second one)
x - number of months
9 + 11x = 53
11x = 53-9
11x = 44
x = 4
Y = 2x² + 30x + 200
y = 2(x² + 15x + 100)
x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10
200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)
<span>−5 ≤ x ≤ 20</span>
Answer:
-2r-19p
Step-by-step explanation:
-4p-2r-15p
add like terms
-2r-19p
Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
You have other equation:
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
Then, she should aim 6 feet down the wall.
