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Likurg_2 [28]
2 years ago
8

A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!

Mathematics
1 answer:
GaryK [48]2 years ago
6 0

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

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Step-by-step explanation:

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3 years ago
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An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the
Nitella [24]

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

8 0
3 years ago
How do I solve for d in the following equation? c(ad) + x= bd + ad(yz)
umka21 [38]
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4 0
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Given that sin0=21/29 what is the value cos 0 for 0°< 0<90°
sp2606 [1]

Answer:

20/29

Step-by-step explanation:

sin θ = 21/29

Use Pythagorean identity:

sin² θ + cos² θ = 1

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cos² θ = 400/841

cos θ = ±20/29

Since 0° < θ < 90°, cos θ > 0.  So cos θ = 20/29.

3 0
3 years ago
Need help on this one
ivolga24 [154]
If a triangle has side lengths 5, 5, and 8, then the triangle should be classified as isosceles.

This is because an isosceles triangle has two sides of the same length and one side of a different length. This isn’t an equilateral triangle (where all sides are of equal length) or a scalene triangle (where all sides are of different lengths).

Hope this helps!
8 0
3 years ago
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