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3 years ago

7

If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.

1 answer:

ANTONII [103]3 years ago

7 0

Hi!

To find the range of possible values of x, we have to side 1 from side 2...

7.1 - 5.6 = 1.5

The smallest side x could be is 1.5.
Now add side 1 to side 2

7.1 + 5.6 = 12.7

The biggest side x could be is 12.7

So x could be anywhere from 1.5 to 12.7 (or, 1.5 < x < 12.7)

Hope this helps! :)

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.

Taya2010 [7]

Answer:

32 cm³

Step-by-step explanation:

Volume of a sphere is:

$V_{s}=\frac{4}{3}\pi r^{3}$

Volume of a cylinder is:

$V_{c} = \pi r^{2} h$

The volume of the cylinder is 48 cm³.

The cylinder has the same radius (r) and height (2r) as the sphere.

$48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}$

Therefore, the volume of the sphere is:

$V_{s}=\frac{4}{3} (24)\\V_{s}=32$

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2 years ago

3. Is XY Tangent to circle Z?<br> Y<br> 12 X<br> (20<br> Z<br> 18

Ratling [72]

Answer:

XY is a tangent

Step-by-step explanation:

Given

$XY = 12$

$WY = 20$

$WZ = 8$

Required

Is XY a tangent?

XY is a tangent if:

$WY^2 = XY^2 + WX^2$

Because XY should make a right angle at point X with the circle

Where

$WX = 2 * WZ$

So, we have:

$WY^2 = XY^2 + WX^2$

$WY^2 = XY^2 + (2*WZ)^2$

$WY^2 = XY^2 + (2WZ)^2$

$WY^2 = XY^2 + 4WZ^2$

This gives:

$20^2 = 12^2 + 4*8^2$

$400 = 144 + 256$

$400 = 400$

<em>Yes, XY is a tangent</em>

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3 years ago

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klio [65]

2n-5=7

Twice a number, n, is shown by multiply two and n. Then, you subtract this amount by five.

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Answer:

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You mean 56.23×10^4?

That would be 5.623×10×10^4, or 5.23×10^5

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x is one term

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2 years ago

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