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2 years ago

In the diagram below, tan theta = sqrt3. What is the value of m?

Mathematics

1 answer:

Nonamiya [84]2 years ago

7 0

Answer:

$m=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

we know that

The tangent of angle theta is equal to divide the opposite side angle theta by the adjacent side angle theta

$tan(\theta)=\frac{m}{(1/2)}=2m$

$tan(\theta)=\sqrt{3}$

$2m=\sqrt{3}$

$m=\frac{\sqrt{3}}{2}$

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Given that, we have to find the greatest common factor of $44c^5, 22c^3 , 11c^4$

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

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First find the GCF of numbers and then find the GCF of variables and then multiply them together

Step 1: GCF of 44, 22 and 11

The factors of 11 are: 1, 11

The factors of 22 are: 1, 2, 11, 22

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11 is the greatest factor that is common in above three list

Then the greatest common factor is 11

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