A cylinder has a height of 4 yards. Its volume is 452.16 cubic yards. What is the radius of the cylinder?

Answer: 17 cm

Step-by-step explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm

Answer:

$10.50

Step-by-step explanation:

Interest = future value - amount saved

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

$50 x (1.1)^2 = $60.50

Interest = $60.50 - $50 = $10.50

Answer:

No.

Step-by-step explanation:

53 + 35 = 88, add 18 = 106.

Answer:

no

Step-by-step explanation:

18x18 + 35 x35 = 53x53

324 + 1225 = 2809

1549 =\ 2809

Answer:

15%

Step-by-step explanation:

1. Subtract final value from starting value

65 - 55.25 = 9.75

2. Divide 9.75 by original number

9.75/65 = 0.15

3. Multiply quotient by 100 to get percentage

0.15 x 100 = 15%

Answer:

Wait, what are you talking about?

Answer:

Is there any options for your question?

Step-by-step explanation:

Answer:

The missing leg's measurement is 8.

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]a^{2}+15^{2} =17^{2}[/tex]

[tex]a^{2}[/tex]+225=289

[tex]a^{2}[/tex]=64

a=√64

a= 8

Hope this helps! :)

Answer:

The length of the missing side is 8.

Step-by-step explanation:

to find the missing side, use the following formula:

[tex]a^{2} = c^{2} - b^{2}[/tex]

(c = hypothenuse) (a and b = sides) ( a = missing side)

[tex]a^{2} = 17^{2} - 15^{2}[/tex]

[tex]a^{2} = 289 - 225[/tex]

[tex]a^{2} = 64[/tex]

[tex]\sqrt{a^{2} } = \sqrt{64}[/tex]

a = 8

Answer:

x = 4[tex]\sqrt{6}[/tex] , y = 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle on the left and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

let the altitude of the outer triangle be h ( common to both right triangles )

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{8}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2h = 8[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

h = 4[tex]\sqrt{2}[/tex]

----------------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex] = [tex]\frac{4\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

x = 4[tex]\sqrt{6}[/tex]

--------------------------------------------------------------------

Using the sine ratio in the right triangle on the right and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{h}{y}[/tex] = [tex]\frac{4\sqrt{2} }{y}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

y =8[tex]\sqrt{2}[/tex]

Answer:

1:2

Step-by-step explanation:

Its just like fractions

You can simplify it.

Answer:

what are they? and how do i find them

Step-by-step explanation:

Answer:

25.37

Step-by-step explanation:

Use SOH or Sin∅=[tex]\frac{opposite}{hypotenuse}[/tex]

So Sin(70)= [tex]\frac{x}{27}[/tex]

Multiply both sides of the equation to end up with 27Sin(70)=x

Plug into your calculator in degrees and you get 25.37m

Answer:

B

Step-by-step explanation:

30 % of the total does Leah have.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Leah wants to buy a necklace for her mother's birthday that costs $48.50.

Leah has currently $14.55.

We need to find 14.55 is what percentage of 48.55.

Let x be the percentage.

48.55x=14.55

Divide both sides by 48.55

x=14.55/48.55

x=0.299

Now multiply with 100

x=0.299×100=29.9

x=30%

Hence, 30 % of the total does Leah have.

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Answer:

43

Step-by-step explanation:

14+6+6+8+9

Answer:

108

Step-by-step explanation:

8*9=72

6*6=36

72+36= 108ft

Answer:

1 + 3i

Step-by-step explanation:

1(2+i)+i(2+i)

1*2+1i+i(2+i)

1*2+1i+2+ii

2+i+2i-1

1+i+2i

1+3i

Multiplication is the process of multiplying. The product (1+i)(2+i) is (1+3i).

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product (1+i)(2+i) can be done as,

(1+i)(2+i)

= 2 + i + 2i + i²

= 2+ 3i -1

= 1+3i

Hence, the product (1+i)(2+i) is (1+3i).

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Answer:

2.25

Step-by-step explanation:

your welcome. oh and make it a improper fraction then subtract:)

Answer:

2 1/4

Step-by-step explanation:

or 3.25 in decimal form

tell the height, width and depth then we will help

The x-intercept is given by the coordinates as (x, 0)

i,e y = 0

The y-intercept is given by the coordinates as (0, y)

i.e x = 0

The x-intercept of the graph of 3x + 2y = 20 is at x = 20/3

The y-intercept of the graph of 3x + 2y = 20 is at y = 10

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

3x + 2y = 20

The x-intercept is given by the coordinates as (x, 0)

i,e y = 0

The y-intercept is given by the coordinates as (0, y)

i.e x = 0

Now,

3x + 2y = 20

Putting x = 0 in (1) we get the y-intercept.

3x + 2y = 20

3x0 + 2y = 20

0 + 2y = 20

2y = 20

Divide both sides by 2.

y = 20/2

y = 10

Putting y = 0 in (1) we get the x-intercept.

3x + 2y = 20

3x + 2 x 0 = 20

3x + 0 = 20

3x = 20

Divide both sides by 3.

x = 20/3

Thus,

The x-intercept of the graph of 3x + 2y = 20 is at x = 20/3

The y-intercept of the graph of 3x + 2y = 20 is at y = 10

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Answer My best guess is D

Step-by-step explanation:

Answer:

The fully shaded notes are called whole notes. The note that is not shaded in is called half notes.

Step-by-step explanation:

Answer:

There is probability of 33%.

Answer:

8

Step-by-step explanation:

80^2=8^2+x^2

80-64=x^2

16=x^2

x=4

4+4=8

Answer:

3.08 hours

Step-by-step explanation:

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours.

If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

This is calculated as:

The Number of hours they worked together = T

1/5.5 + 1/7 = 1/T

= 7 + 5.5/(5.5)(7)

= 12.5/38.5

1/T = 12.5/38.5

Cross Multiply

12.5T = 38.5

T = 38.5/12.5

T = 3.08 hours

The time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

[tex]W_1=\dfrac{1}{n}[/tex]

In preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours. The work done by Angela in one hour is,

[tex]A=\dfrac{1}{5.5}\\A=\dfrac{2}{11}[/tex]

If Brandon works alone, it will take him 7 hours. The  work done by Brandon in one hour is,

[tex]B=\dfrac{1}{7}[/tex]

The work done in one hour, when the work together,

[tex]A+B=\dfrac{2}{11}+\dfrac{1}{7}\\A+B=\dfrac{14+11}{77}\\A+B=\dfrac{25}{77}\\A+B=\dfrac{1}{3.08}[/tex]

Thus, the time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

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Answer:

They made 132$, and 66 slices were sold.

Step-by-step explanation:

If all of the pies were cut into six pieces, and each piece costed $2, then you can multiply 6 x 2 to determine how much each pie cost. ($12)

If each pie costed $12 and there were 11 pies sold in total, then you can multiply 12 x 11 to find out how much money they made.

And to find out how many slices they sold you just have to multiply the 11 total pies by 6 because each pie had six pieces.

Answer:

Plug in the numbers in the table to find the pattern.

Step-by-step explanation:

Answer:

(6,2) y-coordinate is 2

Step-by-step explanation:

The coordinates of the point F on directed line segment AB that partitions AB in the ratio 3 :2 are: (6, 2)

The formula for finding the coordinates of a point that divides the line in ratio m:n are given by:

We are given that Point A (3,-4) and Point B (8,6) on directed line segment AB.

Here (x1,y1) and (x2,y2) are coordinates of the two points line passed through

(x1,y1) = A(-3,-4)

(x2,y2) = B(8,6)

Ratio: 3 : 2

m = 3

n = 2

Putting the values in the formula

( x, y) = (3 x 8 + 2 x 3 /5  , 3 x 6 + 2 x (-4) /5 )

( x, y) = (24 + 6 / 5 , 18 - 8 /5)

( x, y) = (30/5, 10/5)

( x, y) = (6, 2)

Hence,

The coordinates of the point F  are: (6, 2)

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Answer:

-b

Step-by-step explanation:

a-(a+b)

a-a-b

-b

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnhyrg

Step-by-step explanation:

Answer:x=15

Step-by-step explanation:

-angles of a triangle add up to make 180degrees

1) 34+7x+3x-4=180

2) 30+10x=180

3) subtract 30 from both sides

10x=150

4) divide both sides by 10

X=15