The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

The first quartile is 26.

The third quartile is 45

The median is 30.5

The interquartile range is 19.

Hope that helped :)

Step-by-step explanation:

Answer:

points srry

Step-by-step explanation:

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Substitute t and v

p=1000(32)/800

2. solve

p=32000/800

3.simplify

p=40

hope it helps, please mark as brainliest :)

Answer:

5.6 x 10 2

Step-by-step explanation:

Answer:

5.6 × [tex]10^{2}[/tex]  - scientific notation

hope this answer helps you.....

Answer:

[tex]F'G' = 7[/tex]

Step-by-step explanation:

Given

[tex]F = (-2,4)[/tex]

[tex]G = (-2,-3)[/tex]

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

[tex]F'G' = FG[/tex]

Calculating FG, we have:

[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]

[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]

[tex]FG = \sqrt{0 + 49}[/tex]

[tex]FG = \sqrt{49}[/tex]

Take positive square root

[tex]FG = 7[/tex]

Recall that:

[tex]F'G' = FG[/tex]

[tex]F'G' = 7[/tex]

Answer:

3/4

Step-by-step explanation:

7/12-11/16

7-11=3

12-16=4

3/4

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B)  P(A) P(B)

An event A will occur with probability 0.4 that is  

An event B will occur with probability 0.6 that is  

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B)  P(A) P(B)

So,

events A and B are dependent

Answer:

Outlier is 3 points.

Step-by-step explanation:

Because it stands out from the other data points!

Answer: I am truly sorry for doing this.

Step-by-step explanation:

Answer: What is the question?

Step-by-step explanation:

Answer:

61.12 look at picture below for work and any rounding I did wrong it can be 62.13 if you are rounding the the next whole cent

[tex]{ \large{ \implies{ \sf{Area \: \: of \: \: Trapezium = \dfrac{1 \times (b1 + b2) \times h}{2} }}}}[/tex]

[tex]{ \large{ \implies{ \sf{Area = \dfrac{1 \times{ \cancel {16 } {}^ { \: \: 8} }\times 19}{ \cancel2} }}}}[/tex]

[tex]{ \large{ \therefore \: { \sf{Area = 1 9\times 8 = { \boxed{ \sf{152} \: \: m {}^{2} }}} \: \: Ans.}}}[/tex]

9514 1404 393

Answer:

  $35 per hour

Step-by-step explanation:

The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...

  188.75 = 75 + 3.25h

  113.75 = 3.25h . . . . . . . . subtract 75

  113.75/3.25 = h = 35 . . . divide by the coefficient of h

The cost of labor, per hour, is $35.

Answer:

29x-41y-11z

Step-by-step explanation:

Answer:

29 x − 41 y- 11 z

Step-by-step explanation:

Answer:

2187

Step-by-step explanation:

[tex]3^{6}[/tex] × 3

729 × 3

2187

Answer:

l maooooooo but ill help

its 2187

Step-by-step explanation:

use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first

3x3x3x3x3x3=9x9x9=81x9=729

729x3=2187

Answer:

37

Step-by-step explanation:

x = 1st number

y = 2st number

z = 3rd number

x + y + z = 235

y = x + 15

z = 8x

x + x + 15 + 8x = 235

10x = 220

x = 22

y = 37

z = 176

The second number is 37.

Given that,

Based on the above information, the calculation is as follows:

x + y + z = 235  

y = x + 15  

z = 8x

Now  

x + x + 15 + 8x = 235

10x = 220

x = 22

So,

y = 22 + 15

= 37

Learn more: brainly.com/question/17429689

Answer:

I think it C

Step-by-step explanation:

Let's solve your equation step-by-step.

(k−4)2=9

Step 1: Simplify both sides of the equation.

k2−8k+16=9

Step 2: Subtract 9 from both sides.

k2−8k+16−9=9−9

k2−8k+7=0

Step 3: Factor left side of equation.

(k−1)(k−7)=0

Step 4: Set factors equal to 0.

k−1=0 or k−7=0

k=1 or k=7

Answer:

k=1 or k=7

Hope this helps! :)

Square both sides:

K -4 = sqrt(9)

With the answer being a square root rewrite with a postive and negative value:

K-4 = sqrt(9)

And

K-4 = -sqrt(9)

Simplify each:

K-4 = 3

And

K-4 = -3

Solving for k in each one you get answer

C. {1,7}

Answer:

Step-by-step explanation:

x is greater or equal to 13

Answer:

1:7, 1/7, 1 to 7

Step-by-step explanation:

5/35 = 1/7

Answer:

1 to 7

Step-by-step explanation:

Answer:

43%

Step-by-step explanation:

Orinally the decimal percentage is 43.1034% so we just round to 43%

Answer:

43.1`

Step-by-step explanation:

my friend helped me :)

Draw and label a diagram.

sin A = CB / AB

cos B = CB / AB

sin A = cos B

2x - 1.3 = 5x

Can you solve for x and answer?

The value of expression sin C - cos C is,

⇒ r - s

Triangle is a three sided polygon, which has three vertices and three angles and which has sum 180 degrees.

Given that;

In right triangle ABC,

⇒ m∠ B ≠ m∠ C.

Let us assume that,

⇒ sin B = r

And, cos B = s.

Now, We get;

sin B = rh / h

        = r

And, cos B = sh / h

                 = s

Hence, We can formulate;

sin C = sh / h = s

cos C = rh / h = r

Thus, We get;

⇒ sin C - cos C

⇒ r - s

Therefore, The value of expression sin C - cos C is,

⇒ r - s

Learn more about the triangle visit;

brainly.com/question/1058720

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Answer:

[tex] m\angle XYZ = 70\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

4x° = 2x° + 70°

4x° - 2x° = 70°

2 x° = 70°

2x = 70

x = 70/2

x = 35

[tex] m\angle XYZ = 2x\degree [/tex]

[tex] m\angle XYZ = 2\times 35\degree [/tex]

[tex] m\angle XYZ = 70\degree [/tex]

Answer:

156.5

Step-by-step explanation:

The height of the flagpole to the nearest tenth of a foot is 156.5 ft.

Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.

The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.

From the information;

Using the Pythagoras theorem, we have;

hyp² =  opp² + adj²

350² = (2x)² + x²

350² = 4x² + x²

122500 = 5x²

x² = 122500/5

x² = 24500

x = √24500

x = 156.5 ft

Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.

Learn more about word problems here:

https://brainly.com/question/13818690