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Sliva [168]
3 years ago
11

Find the smallest number by which 2592 be multiplied so that the product is a prime factor ​

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

Step-by-step explanation:

2592 = 2×2×2×2×2×3×3×3×3  

now,

√2592 = √2×2×2×2×2×3×3×3×3 = 2×2×3×3√2 = 36√2

as √2 is left so the number 2592 should be multiplied with 2 to get a perfect square.

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Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh
levacccp [35]

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Step-by-step explanation:

5 0
2 years ago
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Solnce55 [7]
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Answer:

All the left numbers of the Ratio go by 8's times tables and all the right numbers go by 5's times tables

Step-by-step explanation:

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Let me know if its right.

6 0
2 years ago
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