1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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>

You might be interested in
What is the solution to y=3x-1 ?
Iteru [2.4K]

I'm ASSUMING that we're talking about Three Ordered Ordered Pair Solutions.

If so, the answer is (0,−1),(1,2),(2,5).


8 0
3 years ago
Read 2 more answers
What is the next 4 terms-0.02,0.04,0.07,0.10
kiruha [24]

Answer:

0.13,0.15,0.18,0.21

8 0
3 years ago
10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
jeyben [28]

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

7 0
2 years ago
The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its
lana66690 [7]
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem:

 - <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
 - Madison is standing 58.2 feet from its base.

 -Madison is 5 feet tall.

 2. Therefore, you have:

 Sin</span>α=opposite/hypotenuse
<span>
 Sin(79°)=x/58.2
 x=(58.2)(Sin(79°))
 x=57.13 ft

 3. Now, you can calculate the height of the Statue of Liberty, as below:

 height=x+5 ft
 height=57.13 ft+5 ft
 height=62.13 ft

 4. Therefore, as you can see, the answer is: 62.13 ft
</span>
4 0
3 years ago
Read 2 more answers
Find the distance traveled by the tip of the second hand of a clock in one minute if the hand is 6cm long.
gayaneshka [121]
The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians 
4 0
3 years ago
Other questions:
  • What is the slope of the line passing through the points (2, 4) and (5, 6)?
    8·2 answers
  • Need to know the population in 2015
    7·1 answer
  • Which of the following numbers is a whole number a.3/5 b.0.5 c.15% d.47
    6·1 answer
  • PLEASE HELP! 20 POINTS!An equation was created for the line of best fit from the actual enrollment data. It was used to predict
    6·2 answers
  • How much money should be deposited today in an account that earns
    9·1 answer
  • Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
    9·1 answer
  • Factorise x ^ 4 + 1/x ^ 4 - 3​
    9·1 answer
  • All I need is the answer and that’s all you have to give me thank you
    6·2 answers
  • Write a polynomial function with the real<br> zeros -3, 0, and 3.
    6·1 answer
  • When the equation a – bx = cx d is solved for x, the result is x = startfraction a minus d over b plus c endfraction.. use the g
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!