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ddd [48]
3 years ago
10

A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answe

r in terms of pie

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

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Expression form to 20+5×9
Karolina [17]

Answer:65

Step-by-step explanation:

I'm not sure what you mean by "expression form," but if its simpliest form, you would simply do 20+5*9, and 5*9 is 45. 45+20 is 65

3 0
3 years ago
A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the
larisa86 [58]
Use the distance formula to find the length of the sides, then add them up to find the perimeter.

\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For points in the form of (x1, y1), (x2, y2).

(-1, 2), (3, 1)

\sf d=\sqrt{(3+1)^2+(1-2)^2}

\sf d=\sqrt{(4)^2+(-1)^2}

\sf d=\sqrt{16+1}

\sf d=\sqrt{17}

(3, 1), (7, 2)

\sf d=\sqrt{(7-3)^2+(2-1)^2}

\sf d=\sqrt{(4)^2+(1)^2}

\sf d=\sqrt{16+1}

\sf d=\sqrt{17}

(7, 2), (-1, 2)

\sf d=\sqrt{(-1-7)^2+(2-2)^2}

\sf d=\sqrt{(-8)^2+(0)^2}

\sf d=\sqrt{64+0}

\sf d=\sqrt{64}=8

So the perimeter will be:

\sf 8+\sqrt{17}+\sqrt{17}\approx\boxed{\sf 16.25}
3 0
3 years ago
14x-5=7+11x i need help with this
leva [86]

Answer:

x=4

Step-by-step explanation:

first lets move it over

3x = 12

x=4

check:

14*4 = 56

-5 =

51

7+ 11x=

11*4 = 44

44+7 = 51

51 = 51

hope this helps :D

3 0
3 years ago
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
liubo4ka [24]

Answer:

AC = 25

Step-by-step explanation:

Since B is on the segment AC, then

AC = AB + BC, substitute values

5x = 2x +10 + x , that is

5x = 3x + 10 ( subtract 3x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

AC = 5x = 5(5) = 25

5 0
3 years ago
What is 10% of 20% of 30% of 100%
Taya2010 [7]

Answer:

is 0.006

Step-by-step explanation:

i search it on g oogle

5 0
3 years ago
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