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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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3 years ago
Help please
Len [333]

Answer:

Ques 1)  1440°

Ques 2) 4000

Ques 3) 33

Step-by-step explanation:

Ques 1)

The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).

Now we have to find the sum of the measures the angles of a polygon with 10 sides.

i.e. n=10

Hence the value of the expression 180×(n-2) when n=10 is given by:

180×(10-2)=180×8=1440.

Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.

Ques 2)

The Expression 500v gives the number of points a player earns for completing v voyages in video game.

We are asked to find the number of points earned for completing 8 voyages.

i.e. v=8 the value of 500v will be 500×8=4000.

Hence, 4000 points are earned for completing 8 voyages.

Ques 3)

we have to find the value of the question as given in the figure:

7x+y+16 for x=2 and y=3.

Hence, we find the value of the expression:

7×2+3+16=33.

Hence, the value of the expression is 33.




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