For the pair of similar triangles, find the value of x.

The value of x is .

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

The value of x is 5 cm.

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

Learn more about cylinder here:

https://brainly.com/question/15891031

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Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%

Answer:

[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]

Answer:

Step-by-step explanation:

y = (4/3)x+7

Slope of the line is 4/3.

Slope of any perpendicular to the line is -¾.

Point-slope equation for line of slope -¾ that passes through (4,11):

y-11 = -¾(x-4)

Of course, you may want to rearrange it to slope-intercept form or standard form.

y = -¾x+15 slope-intercept

x+4y = 60 standard

Answer:

0.1 is 5% of 2.

Step-by-step explanation:

Steps:

0.1 ÷ 5% = 2%

Answer:

2

Step-by-step explanation:

5% of 2 is 0.1

50% is 1

5% is 0.1

Answer:

then answer is 13/12

Step-by-step explanation:

(8+5)/12

13/12

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ([tex]V_{net}[/tex]), measured in cubic milimeters, is the product of the number of elements ([tex]n[/tex]), no unit, and the volume of each element ([tex]V[/tex]), measured in cubic milimeters. That is:

[tex]V_{net} = n\cdot V[/tex] (1)

By volume equation of right cylinder, we have the following formula:

[tex]V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h[/tex] (2)

Where:

[tex]n[/tex] - Amount of nickels, no unit.

[tex]D[/tex] - Diameter of nickel, measured in milimeters.

[tex]h[/tex] - Thickness of nickel, measured in milimeters.

If we know that [tex]n = 40[/tex], [tex]D = 20\,mm[/tex] and [tex]h = 2\,mm[/tex], then the net volume of the stack of nickels is:

[tex]V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)[/tex]

[tex]V_{net} \approx 25132.741\,mm^{3}[/tex]

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Using the Fundamental Counting Theorem, it is found that the expression that  gives the number of different  6 -character codes that are possible is:

F. 1(1)(10)(10)(10) (10)

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]

And option F is correct.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

Answer:

no

Step-by-step explanation:

no

Answer:

28

Step-by-step explanation:

I guessed it right on hegarty maths and this was the answer

Answer:

300

Step-by-step explanation:

Answer:

It's multiplying by 16 every time... so the next answer is 5242880

Step-by-step explanation:

327680 x 16 = 5242880

Answer: 0.208 pounds

Step-by-step explanation:

From the question, we are informed that Shirley bought 20.8 pounds of bird seed at a store and wants to fill her feeder 100 times with an equal amount.

Based on the above, the amount of seeds that she should put in the feeder each time will be the amount of seeds bought divided by the number of feeder to fill. This will be:

= 20.8 / 100

= 0.208 pounds

Answer:

173.9

Step-by-step explanation:

9.40 × 18.5 = 173.9.

Answer:

thanks for the points Imao

Step-by-step explanation:

upto four roots or zero......

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function [tex]s(p)=\dfrac{3000}{2p+a}[/tex], where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

[tex]100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97[/tex]

i.e. [tex]s(p)=\dfrac{3000}{2p-19.97}[/tex]

Put p=20, we get

[tex]s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149[/tex]

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

Answer:

You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

Answer:

The answer is 7,500

Step-by-step explanation:

31 rounds to 30 and 249 rounds to 250. 30 times 250 is 7,500. I hope this helps.

Answer:

N=625/3

Step-by-step explanation:

1) 0.25 ⋅ 1.44N=75

2) 0.36N=75

3) 0.36N/0.36 = 75/0.36

4) N= 625/3

Hope that helps

Have a good day

Answer:

108°

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

I got 100%

Answer:

the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs

Answer:

living in an environment with increased carbon dioxide levels.

Step-by-step explanation:

International Space Station have higher carbon dioxide levels as compared to the earth. The earth's atmosphere has now changed due to increased carbon emission by vehicles and factories. The environmental pollution has increased and the trees are being cut which has created an environment less of oxygen and more of carbon dioxide. Bacteria's find it easy to live on earth because of increase carbon dioxide levels.

Answer:

living in an environment with increased radiation levels and living in an environment with increased carbon dioxide levels.

Step-by-step explanation:

Hope you get it right!! :))

Answer:

ans is 16°,40°and64°

let ratio be 2x,5xand 8x

Step-by-step explanation:

their sum=120°

2x+5x+8x=120

15x=120

x=120/15=8°

2x=2×8=16°

5x=5×8=40°

8x=8×8=64°

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table

Time (h)          Distance (km)

    1                              2

    3                             6

    6                            12

    9                            18

As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.

We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.

Thus, from the table, we get the following points:

(1, 2), (3, 6), (6, 12), and (9, 18)

The given points are plotted on the graph attached below.

From the graph, it is clear that:

Point (1, 2)

Point (1, 2) is represented at x = 1 and y = 2.

Thus, at the point (1, 2):

Speed = Distance / Time = 2/1 = 2km per hour

Point (3, 6)

Point (3, 6) is represented at x = 3 and y = 6.

Thus, at the point (3, 6):

Speed = Distance / Time = 6/3= 2km per hour

Point (6, 12)

Point (6, 12) is represented at x = 6 and y = 12.

Thus, at the point (6, 12):

Speed = Distance / Time = 12/6= 2km per hour

Point (9, 18)

Point (9, 18) is represented at x = 9 and y = 18.

Thus, at the point (9, 18):

Speed = Distance / Time = 18/9= 2km per hour

Please check the attached graph.

Answer:

B shows a translation of three units to the right

Answer:

abc

Step-by-step explanation:

Answer:

Volume of the cylinder = 602.88 square centimeters

Step-by-step explanation:

Given that:

Radius of cylinder = 4 cm

Height of cylinder = 12 cm

Volume of a cylinder is given by the following formula;

Volume = πr²h

Putting π = 3.14, r = 4 and h = 12 in the formula

Volume = 3.14 * (4)² * 12

Volume = 3.14 * 16 * 12

Volume = 602.88 square centimeters

Hence,

Volume of the cylinder = 602.88 square centimeters

Answer:

4 meters

Step-by-step explanation: