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Lady_Fox [76]
3 years ago
9

Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest from.

Mathematics
2 answers:
Digiron [165]3 years ago
5 0
The answer would be 6/8,
The simplest form for this answer would be 3/4
maxonik [38]3 years ago
4 0

Number of kittens Ryan has = 8

Number of white kittens = 2

Number of not white kittens = 8 -2 = 6

Fraction of number of not white kittens = 6/8

To write the fraction in lowest form find the greatest common factor of numerator and the denominator. Divide the numerator and the denominator by the greatest common factor .

Now the greatest common factor of 6 and 8 is 2.

\frac{6}{8} = \frac{6\div 2}{8\div 2} = \frac{3}{4}


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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.
andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0
4 years ago
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Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.
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Answer:

20 π

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The surface area of a cylinder is made up of 2 circles and its side.

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Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π2^2 = 4π

Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.

Now we need to find the surface area of the side.

If we flatten it out, we can see that the side is actually a curled up rectangle.

The length is the circumference of the circle and the width is the height of the cylinder.

To find the circumference, use the circumference formula for a circle: C = 2πr.

Substitute r = 2 into the formula.

C = 2π2 = 4π

Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.

l = 4π

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A = lw = 4π * 3 = 12π

Finally, we can add the areas of the circles and the side to get the total surface area.

8π + 12π  = 20π

And that is your answer!

Please mark as Brainliest! :)

3 0
3 years ago
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