Answer:
59
Step-by-step explanation:
5au+24av-5bu-30bv
rearrange it
5au+5bu-24av-30bv
similar letter cross each other
5a+5b-24a-30b
rearrange it
5a+24a-5b-30b
similar letter cross each other
5+24-5-30
29- -30=59
-and - = +
For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

By definition of power properties we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

Answer:

Answer:
30 miles
Step-by-step explanation:
Given that:
Alex has some target to run a certain number of miles by the end of the month.
Goal already achieved = 40% of the total goal
Number of miles already run by Alex = 12 miles
To find:
Number of miles that Alex is trying to run by the end of month?
Solution:
We have to find nothing but the goal of Alex here.
Let the number of miles that Alex is trying to run by the end of the month =
miles
As per question statement:
40% of total number of miles to be run = 12 miles
OR

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>
Answer:
- w = 8
- x = 8√2
- y = 8√2
- z = 16
Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle

As

, the sequence

converges to zero.
If you're talking about the infinite series

well we've shown by comparison that this series must also converge because we know any geometric series

will converge as long as

.