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ladessa [460]
3 years ago
14

Question Progreso

Mathematics
1 answer:
olganol [36]3 years ago
5 0

Answer:

<em>5,086.8cm³</em>

Step-by-step explanation:

Given the following

radius of the cylinder r = 9cm

Height of the cylinder h = 20cm

Volume of a cylinder = πr²h

Substitute:

V = π(9)²(20)

V=  3.14 * 81 * 20

<em>V = 5,086.8cm³</em>

<em>Hence the volume of the cylinder is 5,086.8cm³</em>

<em></em>

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ALGEBRA 2!!!!!!!HELP
Inessa [10]

Answer:

x = - 1, x = - 11

Step-by-step explanation:

Given

2| x + 6 | - 4 = 6 ( add 4 to both sides )

2|x + 6 | = 10 ( divide both sides by 2 )

| x + 6 | = 5

The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is

x + 6 = 5 or - (x + 6) = 5

solve both

x + 6 = 5 ( subtract 6 from both sides )

x = - 1

or

- (x + 6) = 5 , that is

- x - 6 = 5 ( add 6 to both sides )

- x = 11 ( multiply both sides by - 1 )

x = - 11

8 0
3 years ago
The sum of 5 consecutive integers is 120. What is the third number in this sequence?
aliina [53]
Ok so

x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24

3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br><br> _____ units
krek1111 [17]

Answer:

x=28

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.  Put the side of the small triangle over the same side of the larger triangle.

x               42

---------- = ----------

x+10           42+15

Simplify

x               42

---------- = ----------

x+10           57

Using cross products

57x = 42 (x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x +420

15x = 420

Divide each side by 15

15x/15 = 420/15

x=28

6 0
3 years ago
Read 2 more answers
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
nadezda [96]
Y = 6 + x

We can use this equation to find the total amount of flour that Otto used in the recipe.

The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.

<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
5 0
3 years ago
Complete the two-column proof.
Nimfa-mama [501]
The answer is B, hope this helped
7 0
2 years ago
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