The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.

Answers

Answer 1

Answer:

11 inches

Step-by-step explanation:

V(cylinder) = πr²·h

2797.74 = 81π·h

h = 2797.74 ÷ 81π

h ≈11


Related Questions

The function y=15,000(1.10)xmodels the cost of annual tuition at a local college, x years after 2000. How much will tuition be in 2025?

Answers

Answer: [tex]162,520.588[/tex]

Step-by-step explanation:

Given

The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000

In year 2025 that is 25 years after 2000, fees can be given as

[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]

Thus, the fees in year 2025 is [tex]162,520.588[/tex].

Find the indicated term in the sequence.

Please show steps too! Thank you.

Answers

Answer:

Value of An if n is 17 = -834

Step-by-step explanation:

Given:

A100 = 245

d = 13

n = 17

Find:

Value of An if n = 17

Computation:

An = a + (n-1)d

A100 = a + (100-1)13

245 = a + (99)17

245 = a + 1,287

a = 245 - 1,287

a = -1,042

So,

Value of An if n = 17

An = a + (n-1)d

A17 = -1,042 + (17-1)(13)

A17 = -1,042 + (16)(13)

A17 = -1,042 + 208

A17 = -834

Value of An if n is 17 = -834

Each of 2 boxes of markers held 6 markers. Each of 3 packs of
rulers held 4 rulers.
How many markers and rulers were there altogether?

Answers

CORRECT ANSWER: 16 markers, 12 Rulers

EXPLANATION:
2 * 6 = 12
3 * 4 = 12

Is the purple triangle a right triangle? Explain.

Answers

Answer:

yes it has a right angle

Step-by-step explanation:

If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.

Answers

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98

The area of a triangle is 36 4 5 units squared and the height of the triangle is 9 1 5 units. What is the length of the triangle's base?

Answers

Answer:

I think it should be somewhere around 3528.3

Step-by-step explanation:

this is because 3645 squared minus 915 squared is 12448800 and the square root of that is 3528.3 I could be wrong though but just trying to help

A square pyramid with a height of 7 inches has a volume of 47.25 cubic inches. Find the side length of the square base.
The side length is inches.

Answers

Answer:

4.5 inches

Step-by-step explanation:

volume= 1/3 (base area) × height

47.25= 1/3 ( base area) × 7

20.25 = base area

now since the base is a square we can evaluate base area = length²

20.25= length²

length = 4.5 inches

Nine times a number, subtracted from the square of the number, is 36. Find the two numbers.

Answers

Answer:

- 3 and 12

Step-by-step explanation:

let n be the number , then

n² - 9n = 36 ( subtract 36 from both sides )

n² - 9n - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)

The factors are - 12 and + 3 , since

- 12 × 3 = - 36 and - 12 + 3 = - 9 , then

(n - 12)(n + 3) = 0

Equate each factor to zero and solve for n

n - 12 = 0 ⇒ n = 12

n + 3 = 0 ⇒ n = - 3

The 2 numbers are - 3 and 12

if a right triangle has legs that are 7 and 24 what is the length of the hypotenuse

Answers

Answer:

25

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

7^2=49

24^2=576

576+49=625

Sqrt 625=25

cos 0 = 12/13. Find sin 0.
A. 5/12
B. 12/5
C. 13/12
D. 5/13

Answers

The correct value of Sine θ is 5/13

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

[tex]Cos \theta = \frac{Adjacent}{Hypothenus}\\\\Cos \theta = \frac{12}{13}[/tex]

Adjacent = 12

Hypothenus = 13

Opposite =?

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Opposite = 5

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

Sine θ =.?

[tex]Sine\theta = \frac{Opposite}{Hypothenus}\\\\Sine\theta = \frac{5}{13}[/tex]

Therefore, the value of Sine θ is 5/13

Learn more: https://brainly.com/question/23699928

Answer:

D. 5/13

Step-by-step explanation:

What is 6.27 in expanded form?

Answers

Answer:

6+0.2+0.07

hope this helps

have a good day :)

Step-by-step explanation:

5f - 2g + 3f - 4 - g

Answers

Answer:

8f-3g-4

Step-by-step explanation:

hope this helps U0U

hey! please help i’ll give brainliest

Answers

Answer:

Heyo! the answer is A since their implying it's important :)

There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -

Answers

Answer:

15

Step-by-step explanation:

2/3 x 60 = 40

1/12 x 60 = 5

60 - 40 - 5 = 15

What is the greatest common factor of 50, 40, and 20?

Answers

Answer:

10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The gcf is 10

Step-by-step explanation:

john walked 52 blocks in 4 hours how many blocks did john walk per hour?

Answers

Answer:

13 blocks per hour

Step-by-step explanation:

52/4=13

hope this is helpful

Answer:

13 blocks per hour

Step-by-step explanation:

52/4 = 13

He was walking really slow apparently

which two decimals have the same value as 7/10 ​

Answers

Answer:

B and C

Step-by-step explanation:

they're the same butthe other one has 0 at the end which doesn't really change anything from .7

Help me with the question​

Answers

Answer:

Step-by-step explanation:

If your class received a new student today, describe how you would teach the new student to perform the 90 degrees clockwise rotation of the blue preimage to get the red image.

Answers

You would tell him to turn around it’s pretty easy

A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?

_________ out of 8 or ________%

Answers

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

Learn more about Probability here :

https://brainly.com/question/29027275

#SPJ3

Each side of a square x units long is decreased by 9 units. Which expression represents the area of the new square in square units? *

Answers

Given:

Side of a square = x units

The side of square is decreased by 9 units.

To find:

The expression that represents the area of the new square in square units.

Solution:

It is given that, the side of a square is x units and it is decreased by 9 units. So, the side of new square is:

[tex]\text{New side length}=x-9[/tex]

The area of a square is:

[tex]Area=(side)^2[/tex]

So, the area of the new square is:

[tex]Area=(x-9)^2[/tex]

[tex]Area=(x)^2-2(x)(9)+(9)^2[/tex]          [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]Area=x^2-18x+81[/tex]

Therefore, the expression for the area of the new square is either [tex](x-9)^2[/tex] or [tex]x^2-18x+81[/tex], both are equivalent.

(8x10^-3)+(2 x 10^-4)​

Answers

Answer:

0.0082

Step-by-step explanation:

Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >

Answers

Answer:

Is B

Step-by-step explanation:

Determine the measures of A, B, C and D.

Answers

Answer:

[tex]\angle A = 32 \deg[/tex]

[tex]\angle B = 105 \deg[/tex]

[tex]\angle C = 94 \deg[/tex]

[tex]\angle D = 138 \deg[/tex]

The average length of the head and body of a mouse is 2.9" the average length of the tail is 2.8" find the total actual length of the mouse

Answers

Answer:

5.7

Step-by-step explanation:

Actual length of the mouse = average length of the head and body of a mouse + average length of the tail

2.9 + 2.8 = 5.7

PLEASE PLS HELP THANK YOU

x = ___ cm

Answers

Answer:

x = 7

Step-by-step explanation:

5/(40+5) = 3/(2x+10+3)

1/9 = 3/(2x+13)

2x+13 = 3×9

2x = 27 - 13

x = 14/2

x = 7

Answer:

Step-by-step explanation:

Since they are directly proportional:

5cm -> 3cm

40cm -> y

y = 120/5

 = 24cm

2x+10 = 24

2x = 14

x = 7cm

Feel free to mark it as brainliest :D

Evaluate: f(2) =
Helpppp

Answers

Answer:

32

Step-by-step explanation:

A car travels a distance of 350 km in a time of 5 hours.
What is the car's average speed?

Answers

Answer:

answer is 70 km/h

OR,

19.44 m/s

Step-by-step explanation:

You spin the spinner once.
What is P(3)?

Answers

Answer:

You spin the spinner once. What is P(3)? Answer : 8%.

Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*

Answers

Answer:

about 1.18 is the closest is what i got

Step-by-step explanation:

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