Answer:
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
Step-by-step explanation:
John has pairs of red, orange, yellow, blue and green socks.
Which means that John has 5 different colors pairs of socks.
We are asked to find out in how many ways can he wear them over 5 days.
1st Day:
On the first day John has 5 ways to choose from.
2nd Day:
On the second day John has 5×5 ways to choose from.
(Since repetition is allowed)
3rd Day:
On the third day John has 5×5×5 ways to choose from.
4th Day:
On the fourth day John has 5×5×5×5 ways to choose from.
5th Day:
On the fifth day John has 5×5×5×5×5 ways to choose from.
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
Answer:
x = 20
Step-by-step explanation:
These angles are same-side supplementary, therefore they add up to 180°.
It can be represented by this expression: -20+20
What would you need to know to find an unknown length?
For this case you need to know three measurements.
Two measures of the triangle that is similar and a measure of the original triangle.
Thus, the fourth measure is what will be the unknown side and is the one that we must find.
How would you find that unknown length?
Let:
a, b, c: known sides
x: unknown side
By similarity of triangles we have:
x / a = b / c
From here, we clear the value of the unknown side
Squrare root is 2^(1/2)
cube root is 2^(1/3)
square-root of cube-root of 2 is therefore
(2^(1/3))^(1/2)
=2^(1/3*1/2) by the law of exponents
=2^(1/6)