Sue believes that the two cylinders shown in the diagram have equal volumes. Is Sue correct? Explain why or why not

Answers

Answer 1
Sue is correct because the two cylinders have the same base area and the same height.
Answer 2

Sui believes that the two cylinders have an equal volume is correct.

The volume of cylinder = Base area×Height

=(πr²)×(height)

This is also true for oblique cylinder.

Both cylinders have same height and radius also so, both cylinders have equal volume.

V=πr²h

V=π×(5)²×11.5

V=903.208m³

It can also be visualized that the oblique cylinder have circular pieces. These pieces can be solid together to form a regular cylinder with the same height (i.e. 11.4 m). So both the cylinders have equal volume.

What is a cylinder?

A cylinder is a three-dimensional shape in geometry. A cylinder is round and has a top and bottom in the shape of a circle. The top and bottom are flat and always the same size.

Thus, Sue is correct, and it's true that the two cylinders shown in the diagram have equal volumes.

Learn more about cylinders here,

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Related Questions

if a =(2/3)and m is any scalar find ma​

Answers

Answer:

[tex]ma = \frac{2m}{3}[/tex]

Step-by-step explanation:

Multiplication of an scalar by a fraction:

We consider the multiplication of a fraction by a symbolic scalar the same as the multiplication of a fraction by any other numbers, that is, multiplication of the numerators divided by the multiplication of the denominators.

In this question:

Fraction 2/3

Scalar m

[tex]\frac{2}{3} \times m = \frac{2m}{3}[/tex]

So

[tex]ma = \frac{2m}{3}[/tex]

It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $445.99. What are the appropriate hypotheses for this test

Answers

Answer:

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

Step-by-step explanation:

It is given the average cost of the flight nationwide is $ 445.99

I wanted to [tex]\text{perform the hypothesis test}[/tex] to determine that the true average is greater than $ 445.99

Let the hypothesis that the true average is actually greater than $445.99

Therefore,

the [tex]\text{null hypothesis}[/tex] for the test is :

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

And the alternate hypothesis is :

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

What is the distance of -55 from zero?

Answers

Answer:

55

Step-by-step explanation:

The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.

A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00. If the researcher had used an ANOVA to evaluate the data, what F-ratio would be obtained?

a. F(1, 11) = 2.00
b. F(1, 12) = 16.00
c. F(1, 12) = 2.00
d. F(1, 11) = 16.00

Answers

Answer:

B). F(1, 12) = 16.00

Step-by-step explanation:

'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.

As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, option B is the correct answer.

Find the area of the figure round to the nearest tenth

Answers

Answer:

Area of given figure = 60.8 mm² (Approx.)

Step-by-step explanation:

Given:

Length of figure = 9.3 mm

Width of figure = 7.8 mm

Height of triangular cut = 3 mm

Find:

Area of given figure

Computation:

Area of given figure = [(Length)(Width)] - Area of triangle

Area of given figure = [(9.3)(7.8)] - [(1/2)(b)(h)]

Area of given figure = [(9.3)(7.8)] - [(1/2)(7.8)(3)]

Area of given figure = [(9.3)(7.8)] - [(1/2)(7.8)(3)]

Area of given figure = [72.54] - [(1/2)(7.8)(3)]

Area of given figure = [72.54] - [11.7]

Area of given figure = 60.8 mm² (Approx.)

In the circle below, the measure of arc QT is 50 and the measure of angle P is 55,

What is the measure of arc RS?

Answers

Answer:

C. 160degrees

Step-by-step explanation:

Find the diagram attached

From the diagram;

<P = 1/2(arcRS - arcQT)

Given the following

arcQT = 50degrees

<P = 55 degrees

Required

arcRS

55 = 1/2(arcRS - 50)

2*55 = arcRS - 50

110 = arcRS - 50

arcRS = 110 + 50

arcRS = 160degrees

Hence the measure of arcRS is 160degrees

what are the domain and range of this function

Answers

Answer:

The domain is all real numbers

The range is y ≥ -8

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ -8

Which number is not in scientific notation? I need To know ASAP!!!!

Answers

Answer:

The first one.

Step-by-step explanation:

The correct scientific notation for the first option would make it a decimal (1.1), so it is not in the correct scientific notation.

Rewrite as a simplified fraction .16 repeating

Answers

Answer:

1/6

Step-by-step explanation:

10x = 1.6666....

100x =16.6666...

90x = 16.6666... - 1.6666...

90x = 15

x = 15/90

x = 1/6

I have a linear equation word problem pic to follow ​

Answers

Yes, go ahead , where is pic?

Marking brainliest(for correct answers)


Factor completley:
9(x-1)-(x-1)^2

Answers

- (x-1) (x-10)
hope this helps

what is the slope of the line that passes through (7,-3) and (-5,-1)

Answers

Answer:

i dont know

Step-by-step explanation:

You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.

Remember that y2 - y1 / x2 - x1 = m

m= slope

WILL MARK YOU IF YOU CAN HELP ME

Answers

Answer:

x= 62

first take linear pair angle with any line then once again with x then you're done

Answer:

x value is 62 degree

because they are vertically opposite angles

What is one way to determine if two fractions are equivalent?

Answers

Answer

Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.

A store only sells 20-pound bags of ice. Over the weekend, the store sells 800 bags of ice, making $3,400. On Monday, the store sells 80 bags of ice. How much money does the store make selling ice on Monday?

Answers

£3400 / 800 bags of ice
= £4.25 per bag

80 X £4.25 = £340

The amount of money the store makes selling ice by the same ratio will be $340.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The store sells 800 bags of ice, making $3,400.

Ratio = 3400/800

With the same ratio,

The store sells x amount of bags of ice,

x/80 = 3400/800

x = $340

Hence "The store will make $340 from selling ice using the same ratio".

For more information about ratios and proportions,

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Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]

Answers

Answer:

[tex]65.4[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]

A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.

Answers

the answer is 16.0 or 11.0

What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2

Answers

Step-by-step explanation:

With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.

The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:

tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem

As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:

Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2

=> Shexagon=6×62√3=216

The sum of two integers is 1. Their difference is 7. What are
the two integers?
A
6 and -1
B 2 and -3
C 4 and -3
D
-10 and -3

Answers

Answer:

The two integers are C, 4 and -3.

Step-by-step explanation:

When you add 4 and -3 you get 1, when you subtract them you get 7.

Classify the quadrilateral.

Answers

Answer:

B Kite.

Step-by-step explanation:

It has 2 distinct pairs of equal size.

Answer:

B) kite

Step-by-step explanation:

Kite has two pairs of equal-length adjacent sides


Ezra had 46 green marbles. Then he bought 6 bags of blue marbles. There were 8 marbles in
each bag. How many marbles does Ezra have now?
marbles

Answers

Answer:

94 marbles

Step-by-step explanation:

46 green marbles + (6 bags x 8 pieces of marbles) = 94 marbles

Can y’all help me on question 6?!

Answers

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

I believe the answer would be B. 160ft^2

Since you are looking for area, you need the little 2 at the end to signify that it is squared feet, so that eliminated A and C

Now, the area for a parallelogram is base(height) so it would be 20(8) which is 160

Since we have previously eliminated A and C for not having the feet squared, it would be B

Please correct me if I am wrong, have a good day!

Does anyone know the answer to this?

Answers

If h = hourly rate and s = service fee
2h + s = 180
3h + s = 230
Subtracting equation 1 from equation 2 gives
h = 50
Substitute for h in equation 1
2 x 50 + s = 180
So s = 80

The cost formula is C(h) = 50h + 80

A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i got it right

Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!!

Answers

Answer:

70 feet

Step-by-step explanation:

Given

[tex]Sides: 23ft, 15ft, 32ft[/tex]

Required

The tape needed

This implies that we calculate the perimeter (P)

This is calculated as:

[tex]P = \sum sides[/tex]

So:

[tex]P = 23ft +15ft + 32ft[/tex]

[tex]P = 70ft[/tex]

Answer:

dude why does it say your in college?!?

Step-by-step explanation:

Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????

Can you figure this out? Math kills me!

Answers

Answer:

m equals 27

Step-by-step explanation:

m+7=34

-7 = -7

m = 27

Answer:

m+7 =34

m=34-7

m=27

First option is the answer

9-3(x-6) = 2(x-4)-10

Answers

Answer: x = 9

Step-by-step explanation: your welcome

Answer:

x=9

Step-by-step explanation:

9-3(x-6)=2(x-4)-10

9-3x+18=2x-8-10

9-3x+18=2x-18

9+3x+18=+3x-18

9+18=5x-18

9+18=5x+18

45=5x/5

45/5 = x

9=x

A dictionary has 88,728 words. Out of that Mohan read 35,427 words. How many words are left for him to read?

Answers

Mohan has 53,301 words left

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of words in the dictionary = 88,728 words

No. of words that Mohan read = 35,427 words

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

No. of words left for Mohan to read.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\sf\purple{53,301 \:words. }[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read

= ( 88, 728 - 35, 427 ) words

= 53,301 words

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?​

Answers

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

(Please help. I need this)

Answers

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

[tex]C(n) = 40n + 210[/tex]

After 2 months:

This is C(2). So

[tex]C(2) = 40(2) + 210 = 80 + 210 = 290[/tex]

After 12 months:

This is C(12). So

[tex]C(12) = 40(12) + 210 = 480 + 210 = 690[/tex]

After 24 months:

This is C(24). So

[tex]C(24) = 40(24) + 210 = 960 + 210 = 1170[/tex]

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

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i need help! plz (listing BRAINLIST and giving points) :D Need help please!!! On October 1, 20Y6, Jay Crowley established Affordable Realty, which completed the following transactions during the month:Oct. 1 Jay Crowley transferred cash from a personal bank account to an account to be used for the business in exchange for common stock, $30,600.Oct. 2 Paid rent on office and equipment for the month, $2,750.Oct. 3 Purchased supplies on account, $2,350.Oct. 4 Paid creditor on account, $890.Oct. 5 Earned sales commissions, receiving cash, $15,800.Oct. 6 Paid automobile expenses (including rental charge) for month, $1,600, and miscellaneous expenses, $680.Oct. 7 Paid office salaries, $2,000.Oct. 8 Determined that the cost of supplies used was $1,150.Oct. 9 Paid dividends, $2,800.Required 1. Journalize entries for transactions Oct. 1 through 9. Refer to the Chart of Accounts for exact wording of account titles.2. Post the journal entries to the T accounts, selecting the appropriate date to the left of each amount to identify the transactions. Determine the account balances, after all posting is complete. Accounts containing only a single entry do not need a balance.3. Construct an unadjusted trial balance as of October 31, 20Y6.4. Determine the following:a. Amount of total revenue recorded in the ledger.b. Amount of total expenses recorded in the ledger.c. Amount of net income for October.5. Determine the increase or decrease in retained earnings for October. Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long. What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88% You own a golf course in Florida and you need to determine how many golf carts you need to buy to maximize profits. Please answer the following questions given the information below.A brand new golf cart costs 2000 rounds of golf and the rate of depreciation is 5%.The real interest rate is 8%The expected marginal product of capital is given by MPKf = 1000 10K.a) What is the user cost of capital and what is it expressed in?b) How many golf carts should you buy to maximize profits (i.e., what is K*)?c) Draw a graph (the uc / MPK graph) depicting the state of affairs and label this initial profit maximizing point as point A.Now suppose the (local) government with all their financial shortfalls embarks on a campaign to raise revenue to fund the fire department by imposing a so-called "luxury tax" (we know it as ) equal to 15% of gross revenue. What happens to the profit maximizing number of golf carts? Please show all work and round to two decimal places. A geometric pattern was created by multiplying the number of items in the previous term by 2 if the starting term for the pattern is shown below which of the following shows the resulting patternIs it ABCD REREAD THE SENTENCE, "THE DYE WAS FALLING FROM HER DRESS LIKE BLACK TEARS(PARAGRAPH 29)HOW DOES THE SIMILE CONTRIBUTE TO THE TONE OF THE STORY? From the story "mother and daughter by Gary Soto Isa wants to find out if his co-worker Alexis is available for an event on Wednesday, February 10th. Which calendarview should he use?O Schedule ViewO Day ViewO Week ViewO Appointment ViewPlease help ASAP!!!!!!!!!!! After the Civil War, the South had to reinvent its economy becauseplantations had been destroyed.the North took over its industry.sharecropping was not an option.the North took over its farmland. A normal resting heart rate is usually about.1) 60-80 beats per min2) over 100 beats per min3) 30-40 beats per min4)150-220 beats per min Find sinA. 3/5B.4/5C.1D.5/4 why was it necessary to co operate with people for unification Help fast it is math and really fast need help A gas has a volume of 1000.0 mL at a temperature of 20.OK and a pressureof 1.0 atm. What will be the new volume when the temperature is changedto 40.0K and the pressure is changed to0.5 atm? Explain the difference between a classic Disney song and a modern Disney song. Give examples of characteristics you would hear in both types. Given right triangle ABC with altitude BD drawn to hypotenuse AC. IfAC 18 and DC 15, what is the length of BC in simplest radicalform The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.What was the sale price of the skateboard? HELP ASAP Select the correct answer.Which of the following sentences uses semicolons correctly? please help quick pleaseeee 37% of what number is 72?