If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an
equation to find its radius.

If A Cylindrical Vessel Is 12 Cm Long And Its Surface Area Is 540 Cm2, Set Up Anequation To Find Its

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

Surface area of a cylindrical vessel is given by the expression,

Surface area = [tex]2\pi r^{2}+2\pi rh[/tex]

                     = [tex]2\pi r(r+h)[/tex]

Here, r = Radius of the vessel

h = Length of the vessel

By substituting the values of 'h' and surface area in the expression,

2πr(12 + h) = 540

Therefore, Option (1) will be the correct option.


Related Questions

Melanie has 10 packets of 20 biscuits. She puts 3/10 of them on a plate to serve. How many biscuits are being served?

Answers

From the problem statement Melanie has 10 packets of 20 biscuits

60 biscuits

Solution

Let us find 3/10 of 10 packets

= 3 packets

In one packet there are 20 biscuits,

Hence in 3 packets there will be

20*3 = 60 biscuits

From the solution above Melanie served 60 biscuits in the plate

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Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st

Answers

The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

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Set of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)

Answers

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?

A. $575.96
B. $2,618.00
C. $599.96
D. $340.88

Answers

Answer:

so first you add something and then subtract and then divide then you er butf then youcan see toplod ej

Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list

Write a word problem that can be represented by the expression 4 3/8 divided by 8

Answers

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

I am so confused on what to do with fractions.

Answers

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

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the price of a bag was rupees 700 last it increased 2% this year, what is the price now​

Answers

Answer:

14

Step-by-step explanation:

Percentage increase =

2% × 700 =

2 ÷ 100 × 700 =

2 × 700 ÷ 100 =

1,400 ÷ 100 =

14

Answer:

Step-by-step explanation:

In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02

700 × .02 = 14

14 is the amount of the increase, so it must be added onto the strarting amount.

700 + 14 = 714

A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount

700 × 1.02 = 714

714 is the price now.

Spiderman charges $25 for a service call plus $50 per hour of service. If Spiderman
works for 10 hours what will be the total cost of his service?

Answers

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?

Table:
x: 0, 6, 12
y: 20, 29, 38

Answers

Answer:

29/6 = 4.83.. or 4.8

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.

ANSWER FAST 20 POINTS

Answers

Answer: A

Step-by-step explanation:

The answer is A because, if you look at the line on the graph it’s a dotted line.

This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.

I believe it’s A.

Just did the math and the person who answered first is I believe is correct.

After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.

Answers

Answer:          

asd

Step-by-step explanation:

Given that 3 * 6 = 12 and 2 * 5 = 9, then a * b may be defined as

Answers

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

What is the slope of the line?

Answers

The slope of the line is 4/5

Which graph represents the function f (x) = 8 Superscript one-third x?

Answers

Answer:

2nd graph

Step-by-step explanation:

Plz mark brainliest

Answer:

Its the second option

Step-by-step explanation:

i just did it


Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS

Answers

Answer:

B) SAS

Step-by-step explanation:

Answer: SAS

Explanation:

SAS = side angle side

The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".

The marked angles are congruent, and they refer to the "A" in "SAS".

Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".

Notice how the angles are between the sides mentioned. The order is important.

Asha has $100 on a movie theater
gift card. Each time she buys a ticket
to a movie it costs her $8.75. Write
an equation that Asha can use to find
×, the number of tickets she can buy
if she wants to keep a $15 balance on
the gift card.

Answers

Well 100-15=85, 85/8.75=9.7142857 or if need round it
100-15=85 then divide 85 by 8.75 and yo get your answer

Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.

Answers

Answer:

3.3%

Step-by-step explanation:

77500-75000=2500

2500/75000 x100=3.3%

someone solve all of this will give brainliest to first person that does (only answer circled numbers)

Answers

1. 2, 45. 3, 30. 5, 18. 6, 15
2. Got em all nice work!
3. 2, 26. 4, 13
4. It is prime nice.
5. 15
6. 4
7. Has no factors
8. 14
13. 24
14. 42
15. 12
16. 36

Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).

Are either of your answer extraneous yes or no. Justify your response

Answers

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

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In the equation, 6x - 2y = 11, what is the slope?

Answers

The slop of tge equation is 3

NO LINKS HELP (question is in picture)

Answers

Step-by-step explanation:

area of ∆ is 10in².

hope this helps you.

Please help me!!!!!

Answers

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

Graph the linear equation.

3x−4y=12
school: k 12

Answers

Answer: slope : 3/4 points: (0,-3) (4,0)

Step-by-step explanation:

i looked it up

Answer:

look at graph

Step-by-step explanation:

30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?

Answers

Answer:

30 parks

Step-by-step explanation:

9÷0.3=30 parks

a right triangle has a leg length of 14 yards and a hypotenuse of length 43 yards. Find the length of the other leg. Provide an answer accurate to the nearest tenth

Answers

By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.

If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

A = 14 yd

H = 43 yd

And we want to find the other leg, then we can replace that in the equation to get:

(14yd)^2 + B^2 = (43yd)^2

B = √( (43yd)^2 - (14yd)^2) = 40.7 yd

So the other leg length is 40.7 yards.

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what is 12x⁸/3x² in simplest form, where x>0?

Answers

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?

Answers

Answer:

3

Step-by-step explanation:

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