MATHEMATICS MIDDLE SCHOOL

A cylindrical glass holds 3768 cubic centimeters of water. It has a height of 12 cm. Find the radius.

Answers

Answer 1

Answer:

Answer: radius = 10 cm.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π r² h

Where:

r = radius

h = height

Replacing with the values given:

3768 =π r² 12

Solving for r

3768/ (12π) = r²

99.95 = r²

√99.95 = r

r = 9.99 ≅ 10 cm (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer 2

Answer:

The radius of the cylinder is

10cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes. A cylindrical shape time

Data given

Volume of cylinder v= 3768cm³

Height of cylinder h= 12cm

We know that the volume of a cylinder is given as

v= πr²h

Taking π=3.142

Substituting our given data and solving for the radius r we have

3768=3.142*r²*12

3768=37.704*r²

r²=3768/37.704

r²=99.94

r=√99.94

r= 9.99

≈r =10cm

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Write each number in expanded form 670,200,640

Answers

600000000
70000000
200000
600
40

Which term can be used in the blank of 36x^3−22x^2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 1) 2
2) 4xy
3) 12x
4) 24
5) 44y

Answers

Answer:

Option 2 and 3

Step-by-step explanation:

Given : Expression $36x^3-22x^2-\_$

To find : Which term can be used in the blank of expression so the greatest common factor of the resulting polynomial is 2x ?

Solution :

From the following options first we have to determine that it contain 2x.

1) 2- x is missing

2) 4xy - 2x is present

So, $36x^3-22x^2-4xy=2x(18x^2-11x-2y)$

3) 12x - 2x is present

So, $36x^3-22x^2-12x=2x(18x^2-11x-6)$

4) 24 - x is missing

5) 44y - x is missing

Therefore, The required terms are 4xy and 12x.

So option 2 and 3 is correct.

Answer:

2) 4xy

3) 12x

Step-by-step explanation:

You can figure this out by seeing which answer can have a 2x factored out of it.

4xy = 2x(2y)

12x = 2x(6)

The other answers dont have an x in it so you cant factor out a 2x from them.

Look down below for question:

Answers

To solve this I am going to create three equations for what each person bought.
a will represent apples, b will represent berries, and c will represent cherries.

34 = 2a + 1b + 4c
35 = 3a + 2b + 2c
49 = 5a + 3b + 2c

Solve for on variable in the first equation.

b = 34 - 2a - 4c

Plug that into the second equation and solve for a different variable.

35 = 3a + 2(34 - 2a - 4c) + 2c
35 = 3a + 68 - 4a - 8c + 2c
35 = -a + 68 - 6c
-33 = -a - 6c
33 = a +6c
a = 33 - 6c

It gets a little confusing here but you plug in what both a and b are equal to until you have solved for c.

49 = 5a + 3b + 2c
49 = 5(33 - 6c) + 3b + 2c   substitute a with 33 - 6c
49 = 165 - 30c + 3b +2c
49 = 165 - 28c + 3b
-116 = -28c + 3(34 - 2a - 4c)   substitute b with 34 - 2a - 4c
-116 = -28c + 102 - 6a - 12c
-116 = -40c + 102 - 6(33 - 6c)   again substitute a with 33 - 6c
-116 = -40c + 102 - 198 + 36c
-116 = -4c - 96
-20 = -4c
4c = 20
c = 5

a = 33 - 6c
a = 33 - 6(5)
a = 33 - 30
a = 3

b = 34 - 2a - 4c
b = 34 - 2(3) - 4(5)
b = 34 - 6 - 20
b = 8

Apples cost $3 per pound
Berries cost $8 per pound
Cherries cost $5 per pound

Number 1 I need help with confused