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mariarad [96]
2 years ago
5

Find the ratio x:y:z if: X=4y and 2y = 3z​

Mathematics
1 answer:
LiRa [457]2 years ago
8 0

Answer:

x:y:z = 12:3:2

Step-by-step explanation:

x = 4y

2y = 3z ⇒ 4y = 6z

⇒ x = 4y = 6z

To find x:

Multiply the coefficients of y & z: 4 × 6 = 24

To find y:

Multiply the coefficients of x & z: 1 × 6 = 6

To find z:

Multiply the coefficients of x & y: 1 × 4 = 4

⇒ x:y:z = 24:6:4 = 12:3:2

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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the
sp2606 [1]

The area of the window is \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = \frac{2\pi r}{2} = \frac{\pi x}{2} , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + \frac{\pi x}{2} = 25

Therefore, y =( 25 - x - \frac{\pi x}{2} ) / 2

Area of the window = Area of the semicircle + Area of the rectangle =

 \frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2

 So Area of the window = \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

Learn more about area of circle and rectangle at brainly.com/question/4694841

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7 0
2 years ago
If 20% of a number is 386, what will be 30% of the same number
pav-90 [236]

if the 20% of a number is 386, what will be 30% of the same number

Answer will be 157

4 0
3 years ago
Read 2 more answers
Did I do this correctly?
Brrunno [24]
Yes you did do this correctly
4 0
3 years ago
Read 2 more answers
What are the solution
AleksandrR [38]

Answer:

B

Step-by-step explanation:

We can get two equations from the inequality:

3x+2>9\\3x+2>-9

We just need to simplify both equations to get our answers:

3x+2>9\\3x>7\\x>\frac{7}{3}

3x+2>-9\\3x>-11\\x>\frac{-11}{3}

The two answers we get are:

x\frac{7}{3}

Which is also B.

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2 years ago
Eric and frank want to equally share 4/3 feet of rope. What length of rope should each friend get? Explain how to use a drawing
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I hope u can understand...

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3 years ago
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