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

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.

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%.

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

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Answer:

yes it has a right angle

Step-by-step explanation:

Answer:

8f-3g-4

Step-by-step explanation:

hope this helps U0U

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

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

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

Answer:

32

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

2/3 x 60 = 40

1/12 x 60 = 5

60 - 40 - 5 = 15

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

Answer:

Step-by-step explanation:

Answer:

Is B

Step-by-step explanation:

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

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

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

Answer:

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

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

Answer:

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

Answer:

10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The gcf is 10

Step-by-step explanation:

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

Answer:

answer is 70 km/h

OR,

19.44 m/s

Step-by-step explanation:

Answer:

6+0.2+0.07

hope this helps

have a good day :)

Step-by-step explanation:

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].

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

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

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

Opposite = 5

Hypothenus = 13

[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:

Answer:

about 1.18 is the closest is what i got

Step-by-step explanation:

Answer:

0.0082

Step-by-step explanation:

Answer:

25

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

7^2=49

24^2=576

576+49=625

Sqrt 625=25

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]