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Troyanec [42]
3 years ago
11

The volume of a cylinder is 252π cm3 and its height is 7 cm. What is the cylinder’s radius? A. 36 B. 80 C.16 D.6

Mathematics
1 answer:
REY [17]3 years ago
5 0
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 252π = π*r^2*7
.. (252π)/(7π) = r^2
.. 36 = r^2
.. 6 = r

The radius is 6 cm. Selection D is appropriate.

_____
We would prefer that the offered selections had the appropriate cm units attached.
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7x+2y=-19 and -x+2y=21
Fittoniya [83]
Subtract the 2 equations

     7x+2y=-19
-    -x+2y = 21
--------------------------
     8x +0y=-2

x= -1/4
7 0
3 years ago
A system of equations is given below:
My name is Ann [436]
Solving by substitution:

y = 4x - 3 

2x + 7y = 41

Let us substitute the first equation y = 4x - 3  into the second.

2x + 7y = 41

2x + 7(y = 4x -3) = 41

2x + 7(4x -3) = 41

So that's the third option.

I hope this helps.
4 0
3 years ago
Read 2 more answers
What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
State whether the data described below are discrete or​ continuous, and explain why. The exact mass (in grams )of food eaten by
NARA [144]

Answer:

A. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

The data surveyed is the exact mass, in grams, of food eaten by each person each day.

This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.

5 0
3 years ago
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
oksano4ka [1.4K]

Answer:

<h3>The answer is 70cm²</h3>

Step-by-step explanation:

Area of a parallelogram = base × height

From the question

base = 14 cm

height = 5 cm

Substituting the values into the above formula we have

Area = 14 cm × 5 cm

<h3>Area = 70cm²</h3>

Hope this helps you

6 0
3 years ago
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