Observe that
8² = 64
(1/1000)² = 1/1000000 = 0.00001
8² × (1/1000)² = 64 × 0.000001 = 0.000064
Then
![(0.000064)^{5/6} = \left(\left(\dfrac8{1000}\right)^2\right)^{5/6} \\\\ ~~~~~~~~~~~~~~~~~~ = \left(\dfrac8{1000}\right)^{5/3} \\\\ ~~~~~~~~~~~~~~~~~~ = \left(\dfrac{2^3}{10^3}\right)^{5/3} \\\\ ~~~~~~~~~~~~~~~~~~ = \left(\dfrac2{10}\right)^5 \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{2^5}{10^5} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{32}{100000} = \boxed{\dfrac1{3125} = 0.00032}](https://tex.z-dn.net/?f=%280.000064%29%5E%7B5%2F6%7D%20%3D%20%5Cleft%28%5Cleft%28%5Cdfrac8%7B1000%7D%5Cright%29%5E2%5Cright%29%5E%7B5%2F6%7D%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~%20%3D%20%5Cleft%28%5Cdfrac8%7B1000%7D%5Cright%29%5E%7B5%2F3%7D%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~%20%3D%20%5Cleft%28%5Cdfrac%7B2%5E3%7D%7B10%5E3%7D%5Cright%29%5E%7B5%2F3%7D%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~%20%3D%20%5Cleft%28%5Cdfrac2%7B10%7D%5Cright%29%5E5%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~%20%3D%20%5Cdfrac%7B2%5E5%7D%7B10%5E5%7D%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~%20%3D%20%5Cdfrac%7B32%7D%7B100000%7D%20%3D%20%5Cboxed%7B%5Cdfrac1%7B3125%7D%20%3D%200.00032%7D)
Answer:
5![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
Step-by-step explanation:
You subtract all those distances from 22 to calculate the remaining distance.
22-4
= 17![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
17
-5
=12![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
12
-0=12![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
12
-6
=5![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
So the answer is 5![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
(Yes I did these in my head)
I think it would be the last one because the top ones doesn't match up to the answer
A triangle always equal 180.
The two marks indicate that 3x and the unlabeled corner is congruent to each other.
Let the unlabeled corned be another x.
Add everything and equal it to 180.
3x+x+x=180
Combine like terms.
5x=180
Divide by 5.
x=36
Substitute the x in 3x for 36.
3(36)=108
Then subtract that number from 180.
180-108=72
Divide the 72 by 2 so it can come out evenly. That’s 36.
Thus
3x=108
x=36
Unlabeled=36
Hope this helps.
Answer:
A ∩ B = {2, 4}
Step-by-step explanation:
Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.
For example:
If x∈A and x∈B
then;
x∈ A ∩ B
Given the sets:
A = {1, 2, 3, 4, 5} and B = {2, 4}
We have to find A ∩ B.
By definition we have;
A ∩ B = {2, 4}
Therefore, the value of A ∩ B is, {2, 4}