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defon
3 years ago
9

What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0
Surface Area = 2πr² + 2πrh 

Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²

Answer: 308π in²
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1. Find the volume of the pyramid.<br> 5 in<br> 11 in<br> 9 in<br> 74
Oduvanchick [21]

The volume of the pyramid with the given length, width and height is 165in³.

<h3>What is the volume of the pyramid?</h3>

The volume of a right rectangular pyramid is expressed as;

V = ( L × W × H ) / 3

Given that;

  • Length L = 11in
  • Width W = 9in
  • Height H = 5in

We substitute into the equation above.

V = ( L × W × H ) / 3

V = ( 11in × 9in × 5in ) / 3

V = 495in³ / 3

V = 165in³

The volume of the pyramid with the given length, width and height is 165in³.

Learn more about volume of pyramid here: brainly.com/question/17615619

#SPJ1

5 0
1 year ago
Five chips numbered 1 through 5 are placed in a bag. A chip is drawn and replaced. Then a second chip is drawn. Find the probabi
Vesna [10]

12345

The odds of drawing an even chip are \frac{2}{5}.

The odds of drawing an odd chip are \frac{3}{5}.

You multiply the two \frac{2}{5} x  \frac{3}{5} =  \frac{6}{25}.

Knowing you cannot simplify 6/25 any further, you now have your answer!


Hope this helps! <3

6 0
3 years ago
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
Kendall received dollars for his birthday. Joshua received dollars for his birthday. Which of the following is true?
12345 [234]
<span>Kendall's birthday money = Joshua's birthday money</span>
5 0
2 years ago
Find the value of x and 2x
olga2289 [7]
X is 15 and X2 is 30
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