Answer:
anglePUM = 3° , PM = 5, UM = √75
Step-by-step explanation:
anglePUM = 180 - 60 - 90 = 30° (∠sum of Δ)
cos60 = PM/10
PM = 10cos60 = 5
sin60 = UM/10
UM = 10sin60 = √75
If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:
a number ... n
30 added ... + 30
decreased by 5 ... - 5
Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.
Answer:
Step-by-step explanation:
i wont tell you the answer but if you use brainly all the time you will not learn how to do it so try hard get a pen or a pencil get paper and stay confident you got this! i belive in you
Answer would be #9 .hourses
Answer:

Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:





* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
_______________________________________________
Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
[2, 7] [3, −3]
![\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%20%2B%202%5D%5E%7B2%7D%20%2B%20%5B3%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-1]^{2} + 10^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%2010%5E%7B2%7D%7D%20%3D%20D)


** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.