The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area

Answers

Answer 1

Answer:

578 cm^2

Step-by-step explanation:

The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and [tex]2\pi \times 4[/tex] (the length of the circumference at the base). Adding them up we get:[tex]\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2[/tex]


Related Questions

(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.​

Answers

75 ≥ 2s + 5l

Since the seating cannot be more than 75 people, it is less than or equal to 75

Answer:

75 ≥ 2s + 5l

75 = guests

2 is = amount of people per small table

5 is = amount of people per big table

Simplify 80−−√
4 5√

5 16−−√

5 4√

16 5√

Answers

Answer:

The answer is the 3rd choice  

Step-by-step explanation:

what is the simplified fractional equivalent of the terminating decimal 0.12?

Answers

Answer:

6/50

Step-by-step explanation:

0.12 as a fraction is 6/50.

Answer:

3/25

Step-by-step explanation:

12/100=6/50=3/25 .

you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price

Answers

g = 64.99 - 4.98

Step-by-step explanation:

If g is the original price then if you subtract the difference between the original price and the current price.

What is 25/9 as a mix fraction?

Answers

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

Which of the following is a run on sentence

Answers

Answer:

B.

Step-by-step explanation:

There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3

Please help with this math problem!! Its due tonight!! :)

Answers

Answer:

Step-by-step explanation:

Alex laughed, "You're always studying, Dave." This line from the story is an example of: *


symbolism

indirect characterization

sensory details

direct characterization

Answers

The answer is symbolism

write down three integers below 25 with the range of 10 and the mean of 13

Answers

Answer:

8, 13, 18

Step-by-step explanation:

Middle number is 13, there are only 3

Max is 10/2 more so 18

Min is 18-10

I need #1 done (show work) will give brainliest

Answers

Step-by-step explanation:

Statement                                                        Reason                              

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR

Answers

question 1. is 2

question 2 -13

Answer: Question 2 answer is 4        Question 3 answer is 12

Step-by-step explanation:

Question 2: 42*4=168

43*5=210

Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!

Answers

Step-by-step explanation:

maybe you can try to measure each of the ways maybe and you can get the equation

A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week

Answers

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Learn more : https://brainly.com/question/25625086

The mean of 17,x,10,17,51 is 21 find x

Answers

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

How to find the mean of the given sample of data?

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

To know more about mean click on,

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i think of a number times it by 2 and minus 2 my answer is nine

Answers

Answer:

5.5

Step-by-step explanation:

5.5 times 2 equals 11 minus 2 equals 9

5.5

Step-by-step explanation:

The slope in the linear equation y=12x+5 is _[blank]_.

Answers

the slope is 12x, remember the slope is the number value before the variable!

What is the equation in point-slope for the linear function whose graph contains points (1, -2) and (-3, 6)?

A. y - 6 = 2(x + 3)
B. y - 6 = -2(x + 3)
C. y - 2 = -2(x - 1)​

Answers

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

Solve for r.
-70 +1 > 22
OR
102 +41 81

Answers

-69>22 or 224 is what I think the answer is not too sure

what is sin 45 degrees

Answers

Answer:

45 degree is an acute Angle

Step-by-step explanation:

Please mark as brain list

Answer these question

Answers

c = 1 > 7 =

According to very reliable sources.

t > 28

if you multiply 7•4 then you get 28 (and photo math agrees)

the slope of the line that passes through the points (-6,-4) and (-12,-4)

Answers

Answer:

The slope is 0

Step-by-step explanation:

The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?

Answers

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

8.
Write the equation of the parabola in vertex form.



A. y = –x^2 + 4

B. y = –x^2 + 3

C. y = –(x – 1)^2 + 3

D. y = –x^2 – 4

Answers

Answer:

A. y = –x^2 + 4

Step-by-step explanation:

Find the vertex form.

y = − ( x + 0 ) 2 + 4

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , 4 )

Focus:  

( 0 , 15 /4 )

Axis of Symmetry:  

x = 0

Directrix:  

y

=

17

4

x

y

2

0

1

3

0

4

1

3

2

0

The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

Learn more about coordinates here:

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Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.

Answers

pa brainliest answer po

Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans

Answers

Answer:

$22.48 for 4 pairs of jeans is a better deal.

Step-by-step explanation:

To find the price of one pair of jeans, you divide.

39.55 ÷ 7 = price of 1 pair of jeans

39.55 ÷ 7 = $5.65

22.48 ÷ 4 = price of 1 pair of jeans

22.48 ÷ 4 = $5.62

The price difference between the two prices is 3 cents. So, $22.48 for 4 pairs is a better deal that $39.55 for 7 pairs of jeans.

Hope this helps!

What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.

Answers

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

Learn more on the rate of change here: https://brainly.com/question/11627203

Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.

Answers

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer

Answers

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

What is the value of x?

Enter your answer in the box. x = °

Answers

Answer:

x=80

Step-by-step explanation:

my god this should be easy and I thought I was a bit slow

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