Answer:
Volume of the larger one = 476.5625
Step-by-step explanation:
Remark
This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.
Equations
Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h
Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)
Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)
Solution
Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)
============================= ==================
Surface area of the smaller cylinder (2pi*r^2 + 2pi*r*h)
surface area of the larger cylinder = k^2
surface are of the smaller cylinder = 1
200 / 128 = k^2 / 1 Divide the top and bottom of the left by 8
25 / 16 = k^2 Take the square roots of both sides
sqrt(25/16) = sqrt(k^2)
5/4 = k
Now work on the volume.
The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h
The volume of the smaller cylinder = pi * r^2 h
The volume of the larger cylinder to the smaller one = k^3 = 1.953125
x / 244 = 1.953125 Multiply both sides by 244
x = 1.953125 * 244
x = 476.5625
What is the volume of a right circular cone with a radius of 3 units and a height of 6 units? pleas help asap
Answer:
18 units
Step-by-step explanation:
Answer:
18 units
Step-by-step explanation:
Exercise 7: Arrange the following in order of size (smallest first)
(a) 1/2,45%0.6
(b) 0.38, 6/16,4%
(c) 0.111, 11%, 1/9
(d) 1/3, 0.33, 30%
(e)2/7, 0.3, 29%
(1) 0.71, 7/11,0.705
Answer:
(a) 45%, 1/2, 0.6
(b) 4%, 6/16, 0.38
(c) 0.111, 1/9, 11%
(d) 30%, 0.33, 1/3
(e) 2/7, 29%, 0.3
(1) 7/11, 0.705, 0.71
Explanation:
PLEASE HELP ASAP
All the lines in the figure intersect at point P.
What is the measure of ZKPL?
Answer:
angle KPL = 70 degree
Step-by-step explanation:
A straight line will equal 180 degrees
To find angle IPN, add angles NPM (60) and IPJ (50) and subtract the number from the straight line (180)
60 + 50 + IPN = 180
110 + IPN = 180
IPN = 70
IPN is a congruent angle to KPL
Congruent means they will equal the same
IPN = KPL
70 = 70
We can check our work by adding NPM (60) and KPL (70) and subtracting the sum from the straight line (180). Our answer should be the same as IPJ (50) as MPL is congruent to IPJ
60 + 70 + MPL = 180
130 + MPL = 180
MPL = 50
Correct
In a survey of 1000 eligible voters selected at random, it was found that 100 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)
Answer:
A. 8%
B. 39.6%
C. 58.4%
D. 41.6%
Step-by-step explanation:
Computation to determine the probability of eligible voter selected at random
First step is to Draw up a contingincy table which will include Rows = Degree/No degree
and Columns= Vote/Not vote
..............Vote..No vote
Degree 80...20...100
(80%*100=80)
(100-80=20)
No Degree 504..396..900
(1000-100=900)
(56%*900=504)
(504-900=396
Totals 584..416...1000
(80+504=584)
(20+396=416)
(900+100=1,000)
Summary
..............Vote..No vote
Degree 80...20...100
No Degree 504..396..900
Total Totals 584..416...1000
A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.
P = 80/1,000
P=0.08*100
P=8%
Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%
B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.
P =396/1000
P=0.396*100
P=39.6%
Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%
C. Calculation to determine the probability if The voter voted in the last presidential election.
P = 584/1,000
P=0.584*100
P=58.4%
Therefore the probability if The voter voted in the last presidential election will be 58.4%
D. Calculation to determine the probability if The voter did not vote in the last presidential election.
P = 416/1000
P=0.416*100
P=41.6%
Therefore the probability if The voter did not vote in the last presidential election will be 41.6%
Which equation represents the relationship between m and d on the chart below?
Plssss Hurry!!
Answer:
I guess the answer is 6.the last choice
Please help someone, give me correct answer to these 2 problems.
I will mark you brainliest for the correct answer.
Please help!!!!!
I need the answer to both pictures!!!!!!!
Answer:
60° 60° 60°
60°
Step-by-step explanation:
In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.
As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.
Angle5+angle6=180°, therefore
Angle6=180-120=60°=angle2
Look at the picture.
Answer:
(4, 8) where =(x, y)
Step-by-step explanation:
x + 4(-x + 12) = 36
x -4x + 48 = 36
-3x = -12
x = 4
4 + 4y = 36
4y = 32
y = 8
2 - 2 help pls ill give you brainliest
Answer:
0..........
Step-by-step explanation:
can you show me step by step how to do this 7.34 x 0.6
Answer:4.404
Step-by-step explanation: All you have to do is place it in standard algorithm, and you start multiplying
Answer:
= 4.404
Step-by-step explanation:
= 7.34 × 0.6
Remove the point
= 734 × 6
= 4 404
Then shift the point for 3 times
:. = 4.404
Please help! I need help.
Answer:
Supplementary
Step-by-step explanation:
Two angles are "supplementary" when their degree values add up to 180.
Another similar word is "complementary" where angles add up to 90.
;) tip: memorize the words
Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?
Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.
Step-by-step explanation:
1/2 is 2/4 and 1/4 stays the same because it is the common denominator
Add them and you get 3/4
Select all expressions that are equivalent to 2x+3x+8-3x-2.
Answer:
2x+6 since the +3 and -3x cancel each other out your only left with 2x
guys i need help please
i'll give you brainliest if you can help me
this is quadratics
plz help me asap I need help 1k point
Answer:
y=27
Step-by-step explanation:
Hello There!
The shown angles are alternate exterior angles
Alternate exterior angles are congruent so
3y+53=7y-55
step 1 add 55 to each side
-55+55 cancels out
53+55=108
now we have
3y+108=7y
step 2 subtract 3y from each side
7y-3y=4y
now we have
4y=108
step 3 divide each side by 4
4/4y=y
108/4=27
we're left with y = 27
Answer:
y = 27
Step-by-step explanation:
The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.
7y - 55 = 3y + 53
4y = 108
y = 27
No need for an explanation it is option
Answer:
152
Step-by-step explanation:
Trick question,
4x + 52 + 28 = 180
Then
You subtract 180 and 28 to get 152
If angle DCA measures 40 degrees, what does angle ACB measure?
*see attachement for the diagram that is being referred to
Answer:
m<ACB = 50°
Step-by-step explanation:
From the diagram, <DCB is a right angle = 90°
Therefore:
m<DCA + m<ACB = 90° (complementary angles)
m<DCA = 40° (given)
Thus:
40° + m<ACB = 90° (Substitution)
m<ACB = 90° - 40° (Subtraction property of equality)
m<ACB = 50°
Due: Today Raven told Micah the perimeter of the swimming pool was 35 feet, the dimension of the pool were 5 ft by 7 ft. Micah said the perimeter was 24 feet. Who is correct? Justify your answer.
Answer: Micah
Step-by-step explanation:
Given
Raven told Perimeter of the swimming pool is [tex]35\ ft[/tex]
Micah said Perimeter is [tex]24\ ft[/tex]
The actual dimension of the swimming pool is [tex]5\ ft\times 7\ ft[/tex]
Perimeter is given by [tex]2(l+w)[/tex]
Using this, the perimeter is
[tex]\Rightarrow P=2(5+7)\\\Rightarrow P=2\times 12=24\ ft[/tex]
[tex]\therefore[/tex] Micah statement is correct.
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
If a factor of a polynomial is x-5, what is the zero?
Answer:
x = 5
Step-by-step explanation:
Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0
Therefore, the zero is x = 5.
2/3 divided by 3/6 is : help asap
the answer is 4/3 OR 1 1/3 :)
(i’ll mark brainliest if it’s correct )
Michael conducted a survey at his school. He asked 25 students what their favorite sport was. 10 of them answered football. Based on that survey, how many students out of 1,500 would prefer football?
Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis
calculates the new total price including tax. How much money will Louis save on the total cost because of the markdown?
Answer:
$82
Step-by-step explanation:
make 25% into a decimal which equals .25, then do 328. x .25 which equals $82
Help me with this plz.....???????????????!?????!!!!!!!
Answer:
Check pdf
Step-by-step explanation:
Can someone help me with this it’s timed !!!
Answer:
c
Step-by-step explanation:
Answer:
1. A
2. Missouri Compromise
3. Abolition
Step-by-step explanation:
Order the numbers from least to greatest.
3.4, 31/5, 35.8%, 3.64, 322%
if the domain of the function f(x)=2x^2-8 is {-2,3,5}, then the range is
Answer is in the file below
tinyurl.com/wpazsebu
What Is The Measure Of X?
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
HELP ME!!!!!!!!!!! ANSWER 6-10
Answer:
LOOK BELOW!
Step-by-step explanation:
6#
6. (-3, 0)
7. (-1, -2)
8. (-5, -3)
9. (1, -1)
10. (1, -2)
how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)
[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]
6. (-3,0)
7. (-1,-2)
8. (-5,-3)
9. (1,-1)
10. (1,-2)
[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
Use the Distributive Property to simplify the expression. 5(x - 1)
Answer:
5x - 5
Step-by-step explanation:
Answer:
[tex]\bold{5x-5}[/tex]
Step-by-step explanation:
Hi there!
The Distributive property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
So, we take a number a, multiply it by b and c, and then add the products.
Now, let's solve the given math problem:
[tex]\bold{5(x-1)}[/tex]
[tex]\bold{5x-5}[/tex]
Hope it helps! Enjoy your day!
~Just a teen willing to help others
[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]
If y = 5x, then y is directly proportional to ______
Help me please my teacher rlly annoying
y = 5x, so 5 is the constant of proportionality
In the given linear equation, y is directly proportional to x.
What is a linear equation?A linear equation is an equation that has the highest power of the variable of 1.
Given linear equation is:
y = 5x
Here, '5' is a constant term.
Therefore, y is directly proportional to x.
Learn more about linear equation here: https://brainly.com/question/27726739
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