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pantera1 [17]
3 years ago
10

The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which s

tatement best interprets the factor (r + 7) in this context
Mathematics
1 answer:
Ganezh [65]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>

<em></em>

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trasher [3.6K]

Answer:

Because 43.3 > 40, it is possible that the picture fits in the frame.

Step-by-step explanation:

4 0
2 years ago
15, 60,240,...<br> 15,60,240,...<br> \text{Find the 6th term.}<br> Find the 6th term.
san4es73 [151]

Answer:

15,360

Step-by-step explanation:

15 x 4 = 60 x 4 = 240 x 4 = 960 x 4 = 3,840 x 4 = 15,360

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2 years ago
PLZ ANSWER PIC INCLUDED​
Alchen [17]

Answer:

28 feet

Step-by-step explanation:

We know that the perimeter of a square is 2l + 2w, where l is the length and w is the width.

We also know that the perimeter of a triangle is all of its sides added up.

Since the perimeters will be equal to each other, we can make both of these statements an equation that are equal to each other.

Basically:

(3x - 3) + (3x - 3) + (x - 3) + (x - 3) = (2x - 1) + (2x - 1) + (2x)

We can combine like terms to get a <em>less scary</em><em>  </em>equation.

8x - 12 = 6x - 2

Our goal is to now isolate x so we can find it's value.

Add 2 to both sides:

8x - 10 = 6x

Subtract 6x from both sides:

2x - 10 = 0

Add 10 to both sides:

2x = 10

Divide both sides by 2:

x = 5

Now we know the value of x, however, our work isn't done. They want to know the perimeter, so we need to substitute x in as 5.

Let's do it on the triangle.

6x-2 (remember, this is our simplified version of the triangle)

6(5) - 2\\\\30 - 2\\\\28

Hope this helped!

4 0
3 years ago
If the radius of a circle is 3, calculate the diameter.
Rom4ik [11]

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

8 0
3 years ago
W = 1/2QV if w=.47 and v=13.5
Mrac [35]
If w is .47 and v is 13.5 then, 0.47=6.75Q
8 0
3 years ago
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