Answer:
0.69
Step-by-step explanation:
Just did it on edge and got it right
Answer:
No solutions I think.
Step-by-step explanation:
9514 1404 393
Answer:
83 m
Step-by-step explanation:
The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...
8.26(10 m) = 82.6 m ≈ 83 m
_____
The distance formula will tell you the distances are ...
AC = √(3² +1²) = √10
BD = √(5² +1²) = √26
The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.
Answer:
40
Step-by-step explanation:
8+1=9
16+2=18
24+3=27
32+4=36
<u>4</u><u>0</u><u>+</u> 5=45
Answer: ![(6\sqrt{5})i](https://tex.z-dn.net/?f=%286%5Csqrt%7B5%7D%29i)
This is the same as saying ![6i\sqrt{5}](https://tex.z-dn.net/?f=6i%5Csqrt%7B5%7D)
====================================================
Work Shown:
![\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\](https://tex.z-dn.net/?f=%5Csqrt%7B-180%7D%20%3D%20%5Csqrt%7B-1%2A36%2A5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20%5Csqrt%7B-1%7D%2A%5Csqrt%7B36%7D%2A%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20i%2A6%2A%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%206i%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20%286%5Csqrt%7B5%7D%29i%5C%5C%5C%5C)
where ![i = \sqrt{-1}](https://tex.z-dn.net/?f=i%20%3D%20%5Csqrt%7B-1%7D)
As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule
to break up the root.
The parenthesis used at the very end is to help separate the
from the
term. The "i" is not under the square root.