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WARRIOR [948]
3 years ago
9

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radiu

s of 3 inches. Determine the height
Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

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Simplify the expression
kow [346]

Answer:

<h3>           f(x) = 5x² + 2x</h3><h3>           g(x) = 6x - 6</h3>

Step-by-step explanation:

\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6

4 0
3 years ago
Julia evaluated the expression 3 to the third power plus 20 divided by 2 to the second power. What’s the answer need it tonight
nexus9112 [7]

Answer:

32

Step-by-step explanation:

8 0
3 years ago
Halp!!!I need this for tomorrow
Vadim26 [7]
I think the answer you are looking for is 70°
8 0
3 years ago
30 points! please help!
stiks02 [169]

Answer:

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

Step-by-step explanation:

15.

(5c^{2} +3)(5c^{2}-3)

Using the Identity (a + b)(a - b) = (a² - b²) we get

Consider here a = 5c and b = 3 then we will have

((5c)^{2} -(3)^{2})=25c^{2}-9    .....as required

16.

y^{2}+9y+8

Here Factorize 8 such that sum up to be 9

∴ 8 × 1  = 8 and 8 + 1 =9

y^{2}+9y+8\\y^{2}+8y+y+8\\y(y+8)+1(y+8)\\(y+8)(y+1) ... as required

17.

x^{2}-10xy+21y^{2}

Here Factorize 21 such that sum up to be -10

∴ -3 × -7  = + 21 and -3 - 7 = - 10

x^{2}-10xy+21y^{2}\\x^{2}-3xy-7xy+21y^{2}\\x(x-3y)-7y(x-3y)\\(x-3y)(x-7y) ........as required

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

4 0
3 years ago
Read 2 more answers
Colm and Gaz share some sweets in the ratio 4:3 <br> If Colm gets 28 sweets how many does Gaz get?
liubo4ka [24]

Answer:

21 sweets

Step-by-step explanation:

Colm : Gaz

4 : 3

4 units = 28

1 unit = 28 ÷ 4 = 7

3 units = 7 x 3 = 21 sweets

8 0
3 years ago
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