Answer:
Jim can arrange the 7 songs on the playlist in 5040 different ways.
Step-by-step explanation:
Given

Required
Ways of arrangement
Since, there is no restriction and conditions.
The songs can be arranged in

This is so because each song will have a distinct position:
So, we have


Answer:what!?
Step-by-step explanation:
Answer:
The answer here would be D.
Step-by-step explanation:
When looking at the angle you can see that it is a straight line with a intersecting line. This tells you that you will have supplementary angles, or angles that add up to 180 degrees.
You can only have supplementary angles when they are on either side of a straight line that has been intersected.
Since supplementary angles have to add up to 180 degrees, and you already know that one part of the current supplementary angles is 50 degrees, you can do the math,
180-50=130
To get your answer of D. 130
To prime factorization would be A: 2 X 3 X 5 X 7
Because if your do 2 X 3 it would be 6
Then you do 5 X 7 it would be 35
And 6 X 35 would be 210
AND THAT IS FACTORING THE PROBLEM
I hate rounding.
Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.
According to the problem we have a length x-4 and a width x-5 and an area
82 = (x-4)(x-5)
82 = x^2 - 9x + 20
0 = x^2 - 9x - 62
That one doesn't seem to factor so we go to the quadratic formula

Only the positive value makes any sense for this problem, so we conclude

That's the exact answer. Did I mention I hate rounding? That's about
x = 13.6 meters
Answer: 13.6
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It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies

which works out to

That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.