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katrin2010 [14]
3 years ago
5

What is the greatest fraction you can make using the digits 4, 7, and 9?

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

  (7^9)/4 = 40,353,607/4

Step-by-step explanation:

Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.

__

If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,

  (7!)^(9!)/4 has about 1 million digits

something like ...

  ((7!)^(9!))!/4 has many more digits than that

and you can keep piling on the factorial symbols to any desired depth.

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Assoli18 [71]
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
\frac{180}{3} = 60
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x

The missing angle measure, angle x, equals 18°.

Hope this helps!
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<span>Hope This Helps You!
Good Luck Studying :)</span>
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