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Zigmanuir [339]
3 years ago
10

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as

Mathematics
1 answer:
harina [27]3 years ago
4 0

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

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The high school soccer team can have no more than 27 players. Solve an inequality to determine how many players can make the tea
Dvinal [7]

Answer:

The answer is x\leq 9.

Step-by-step explanation:

Now, to find the number of players to make the team by solving an inequality.

Let the number of players that can make team be x.

Total number of players high school soccer team can have = 27.

Already players chosen by coach = 18.

According to question:

x+18\leq 27

<em>Subtracting both sides by 18 we get:</em>

x\leq 9.

Therefore, the answer is x\leq 9.

6 0
3 years ago
What is the perimeter of a square with side lengths of (5x-2)?
noname [10]
Hi there! 
The perimeter of any square is the side of the square multiplied by four.
Perimeter= 4 x (5x-2)
Then distribute the four over parentheses.
Perimeter= 4(5x)-4(2)

Perimeter= 20x-8

Hope this helps :)
3 0
4 years ago
Read 2 more answers
Iiana started to evaluate the function f(x)=2x^2-3x+7 for theinput value 2
Vitek1552 [10]

Answer:

The output for x = 2 is

\therefore f(2)=9

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'x' independent variable

f(x) is the function dependent variable

f(x)=2x^{2}-3x+7

So Put x = 2 in the f(x)  we get

f(2)=2(2)^{2}-3(2)+7= 2\times 4 -6 +7 = 8+1=9

The output for x = 2 is

\therefore f(2)=9

3 0
3 years ago
What is the area of this octagon
Juliette [100K]

Answer:

59cm^2

Step-by-step explanation:

first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2

hope this helps

4 0
3 years ago
(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f
ki77a [65]

Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have

f'(x) = 2ax + b

and

f''(x) = 2a

Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.

(i) f is concave up when f'' > 0, which occurs when a > 0.

(ii) f is concave down when f'' < 0, and this is the case if a < 0.

In Mathematica, define f by entering

f[x_] := a*x^2 + b*x + c

Then solve for intervals over which the second derivative is positive or negative, respectively, using

Reduce[f''[x] > 0, x]

Reduce[f''[x] < 0, x]

5 0
3 years ago
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