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eimsori [14]
3 years ago
11

12xy divided by 4y squared-

Mathematics
2 answers:
Nitella [24]3 years ago
8 0
3x/y should be the answer
swat323 years ago
7 0

Answer:

\frac{3x}{y}

Step-by-step explanation:

We need to simplify    \frac{12xy}{4y^{2} }   . First of we need to know what LCM is, it is the lowest common multiply of two terms or numbers but in this case we are simplifying an algebraic expression so it is terms. Also we need to remember that since we have numbers and letters we must extract the LCM first then do the division so,

12xy ÷ 4y² → First of all we can cancel out the 12 and 4 by 3 and 1

3xy ÷ y² → Then the top y can cancel out with y² so on the numerator there no 'y' and on the denominator there is 'y'

The final answer is \frac{3x}{y}

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The diameter, D, of a sphere is 15.2m. Calculate the sphere's volume, V.
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4 years ago
((5^(3))^(5))/(5^(7))
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48

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Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

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4 0
3 years ago
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3
Mademuasel [1]

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

8 0
3 years ago
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