Cole is building a model rocket in science class. He selects the rocket parts from a set of solid cylinders and cones made from metal. Cole wants to build a rocket with the dimensions shown. For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. Will Cole’s rocket meet the requirement for launch?
Part A
What will be the total length of the assembled rocket? Explain how you found your answer.
Part B
What is the approximate volume of the rocket. Use 3.14 for π. Explain.
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pound per cubic centimeter, will Cole be able to launch his rocket? Explain.
Answers
A.
30 since 25 + 5 = 30
The maximum lift-off weight of each rocket is 10 pounds thus, Cole’s rocket doesn't meet the requirement for launch.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
Part A
The total length of the assembled rocket will be the length of the cone and the cylinder.
Height of the cone
[tex]\sqrt{l^{2} -r^{2} } \\\\\sqrt{5^{2} -4^{2} } \\[/tex] = 3 cm
The total length of the assembled rocket = 25 + 3 = 28cm
Part B
The volume of the rocket is the combined volume of the cone and cylinder.
= [tex]\pi r^{2} h[/tex] + 1/3[tex]\pi r^{2} h[/tex]
= 4/3 [tex]\pi r^{2} h[/tex]
= 4/3 × 3.14 × 16 × 28
= 1875.62 cubic cm
To convert cm into pound
1875.62 cubic cm = 4.135 pound
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.
Then 1875.62 cubic cm × 0.006
= 11.253
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
Learn more about volume;
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Related Questions
A cube has a base of 9 in2 and height of 12 inches.
Part A
What is the surface area, in square inches, of the cube?
a. 54 in2
b. 81 in2
c. 144 in2
d. 72 in2
Answers
Answer:
B is the best answer., formula for square is L²
please help ill give brainliest
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Answer:
She spent over $3.00 .
If i'm wrong sorry I didn't get the Question
latasha deposits 250$ into a savings account, The simple interest rate paid is 3.5%. how much intrest does latasha earn in one year?
a. 7.14$
b. 8.75$
c. 71.40$
d. *87.50$
Answers
b. 8.75$
Consider the following statement: Two sets of data with the same mean will also have the same variability. Do you agree or disagree with this statement? Explain.
Answers
The statement is false and same mean can have different variability
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M
Now , The mean is a measure of central tendency that represents the average value of a set of data, but it does not provide information about the variability or spread of the data.
For example, consider the following two sets of data:
Set 1: 1, 2, 3, 4, 5 (mean = 3)
Set 2: 0, 2, 3, 4, 6 (mean = 3)
Both sets have the same mean of 3, but Set 1 has a smaller range (4) compared to Set 2 (6). The range is a measure of variability that represents the difference between the maximum and minimum values in a set of data.
Hence , two sets of data with the same mean can have different variability,
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What is the value of x and the measure of ∠WZX, respectively?
A. x = 34 ; ∠WZX = 43
B. x = 43 ; ∠WZX = 34
C. x = 50 ; ∠WZX = 41
D. x = 41 ; ∠WZX = 50
Answers
Answer:
x = 43
Step-by-step explanation:
Supplementary angles = 180°
So,
(3x + 17) + (x - 9) = 180°
Combine like terms:
4x + 8 = 180
Subtract 8 on both sides
4x = 172
Divide 4 on both sides
x = 43
I tried buh then ii forgot how to find the answer
Answers
Answer:
603.19
Step-by-step explanation:
can i have brainliest
Answer: 150.8
Step-by-step explanation: Explanation below.
Find the length of the missing side. Round to the nearest
tenth if necessary.
Answers
Answer:
The one tat makes the most logical sense is D
Step-by-step explanation:
Help please! Also don't comment if you don't know or you claim you'll 'send me the link'
Answers
Answer:
12.5
Step-by-step explanation:
A basket of snacks contains 8 packs of oreos, 2 bags of chips, 6 packs of gummies, and 4 granola bars. What is the probability a pack of oreos is chosen, replaced, and then a pack of gummies are selected second?
MATH PROBABILITY
PLEASE HURRY
FRACTIONS IN SIMPLEST FORM
NO LINKS
Answers
Answer:
8/20*6/20=3/25
the probability is 3/25
For Oreos, you have 8 in the basket so you divide 8 by how many is in the basket to get 2/5.
Then you divide 6 by the total amount which is 6/20 to get 3/10.
A movie theater owner made this box plot to represent attendance at the matinee movie last month.
Without seeing the values, what conclusions can you make about whether attendance was mostly high or low at the matinee movie last month?
PLEASE DO NOT SEND THE BITY.LY LINK! I TRIED IT BEFORE AND DOESN'T WORK FOR ME! JUST SAY THE ANSWER! (You can say A, B, C, or D)
Answers
Answer:
b or d
Step-by-step explanation:
i know it is not a or c
Answer:
its b
Step-by-step explanation:
help for brainliest h
Answers
Answer:
wich one all
Step-by-step explanation:
420,000 x 3,700,000
1.554e+12
10. 983,700,000
11. (7.8 x 10^5) / (1.2 x 10^9)
780,000 / 1,200,000,000
0.00065
6.5x10-4
please help (no links or you will reported)
Answers
Answer:
16 rolls of ribon
Step-by-step explanation:
C = Dπ
d = r x 2
d = 100 x 2
d = 200
C = 200 x 3.14
C = 628
628 / 40 = 15.7
she should buy 16 rolls
I keep getting the same answer, please give an explanation and answer
I put (4/3) (3.14) <(which is the pie sign) (18^3) and I got 24429.
I don't see any answer choices
Answers
Answer: 3052 ft^3
Step-by-step explanation: The radius is not 18, it's 9. 18 is the diameter. Hope this helped you!
really.... that is not very pogchampion of you brainly :(( i didn't use any mean phrases
Answers
Answer:
POGGG
Step-by-step explanation:
What is the value of x and the measure of ∠LNM, respectively?
A. x = 25 ; ∠LNM = 155
B. x = 155 ; ∠LNM = 25
C. x = 45 ; ∠LNM = 135
D. x = 135 ; ∠LNM = 45
Pls dont put nonsense answer thank you
Answers
Linear pair of angles are of 180°. So,
45°+3x = 180°
=> 3x = 180°-45°
=> 3x = 135°
=> x = 135°/3
=> x = 45°
Answer:
Option C: x = 45, ∠LNM = 135
Step-by-step explanation:
Both the angles are supplementary which means they both add up to a straight angle or 180°;
45 + 3x = 180
=> First subtract 45 on each side of "="
3x = 135
=> Now divide both sides of "=" by 3
x = 45Now to find measure of angle LNM, substitute in 45 for x
3x = ∠LNM
3(45) = ∠LNM
135 = ∠LNMHope this helps!
What is the area of the figure in square centimeters?
Sandra used a square, a semicircle, and a right triangle to form the figure shown.
Answers
Answer:
105.12 squared cm.
Step-by-step explanation:
Square:
8*8 = 64
Semi Circle:
A = pi * 4^2/2
50.24/2
25.12
Triangle:
(4*8)/2 = 16
64 + 25.12 + 16 = 105.12
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 13, 26, 39, 52. What relationship between the quantities is shown in the table? The relationship between quantities is +12. The relationship between quantities is ×13. The relationship between quantities is – 24. The relationship between quantities is +36.
Answers
Answer:
B
Step-by-step explanation:
The box plots show data about the number of years that farmworkers have been employed at each of two farms. Which statement is best supported by the information in the box plots?
Answers
Anwser: you got disc?
Step-by-step explanation:
Can someone please help I asked earlier but no one is answering!
Answers
Answer:
a) 4x+6
b) 28
Step-by-step explanation:
The perimeter is equal to 1+x+1+x+1+1+1+x+1+x.
Simplifying we have 4x+6.
If we plug in 5.5 for x, we get 4*5.5+6=28
In Miron's class, there are 25 students. 3/5 of the students are boys. How many of the students in his class are boys?
Answers
Answer:
15
Step-by-step explanation:
to find it we must do this equation:
(25/5) * 3
5 * 3 = 15
To check :
15/25 = 3/5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Blue bird began at location (6,0) and hit the ground at (26,0). Find the quadratic equation for his flight path
Answers
Answer:
4x^4+6x^3+84x^2-3084435+3x-459304
Step-by-step explanation:
6-0=6-26=-20
The cost of 7 scarves is $82.25. What is the unit price?
Answers
Answer:
$11.75
Step-by-step explanation:
To find a unit price you must divide the price by how many objects bought.
So I divided 82.25 by 7
When I did this I got 11.75
This means each scarf costs $11.75
REWARDING BRAINLY TO CORRECT ANSWER
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If a wrestling team was put in order from lowest to highest weight class, in what weight class would the wrestler in the middle be?
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What is the range of shoe sizes in the middle school?
Answers
Answer:
"iIf a wrestling team was put in order from lowest to highest weight class, in what weight class would the wrestler in the middle be?"
Step-by-step explanation:
Measuring the center is taking the middle of the data or the mid point and the question is asking what the middle/mid point is exactly.
Answer:
Which question could be answered using a measure of center?
Step-by-step explanation:
The answer is static
Extra points!!. What percentage of the data values are greater than 78?
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I need help on this question!
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Answer:
F. 10, 20, 30, 40, 50
Step-by-step explanation:
Becasue Y is the dependent varible
Answer:
F
Step-by-step explanation:
Analyse the data.
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Answers
Answer:
thxs ig?
Step-by-step explanation:
PLEASE HELP I NEED THEM TODAYYYY I WILL GIVE BRAINLYEST
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Answer: bestie I'll help u.
Let x= the number of onion rings
Let y= number of sliders.
System of equations:
70x+200y=1020
y=2x
Step-by-step explanation:
ur welcome bestie
What is the x-coordinate of the solution to the system of equations shown below?
y-2x=4
3x-5y=15
a. -6
b. -5
c. 5/3
d. 5
Answers
What is the value of x?
Answers
Answer:
x = 24
Step-by-step explanation:
(2x - 4) + (3x + 5) + (2x + 11) = 180°
Combine like terms:
7x + 12 = 180
Subtract 12 on both sides:
7x = 168
Divide 7 on both sides:
x = 24
A fourth neighbor said, "My age is the difference between twice my age in 21 years and twice my age 21 years ago". How old is the fourth neighbor? Pls, answer ASAP.
Answers
Answer:
84
Step-by-step explanation: