Reason: After doing 6.4 divided by 3.2, you get 2, and finally you subtract 10³ by 10². And after that subtraction, you get 10^1, Therefore the answer is the first option.

<em>I hope this helps, and Happy Holidays! :)</em>

3 0

3 years ago

Write a set of three numbers that have a GCF of 13.

vitfil [10]

Right now, I can only think 26 and 39.

6 0

3 years ago

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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n

Sladkaya [172]

3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees.

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = $\sqrt{27}$

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/ $\sqrt{27}$
$\sqrt{27}$ Tan(31) = MJ
3.122 = MJ

7 0

4 years ago

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