Answer:
80 degrees.
Step-by-step explanation:
THe reason why the 3 angles add up to 180 degrees is because they are the 3 angles in the triangle.
So m APB = 180 - 100
= 80 degrees.
Answer:
We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Step-by-step explanation:
so it would be 1,2,3,5,6,9 hope it helps :)
Answer:
Option 3 - five to the two thirds power
Step-by-step explanation:
Given : Expression 'the square root of 5 times the cube root of 5'.
To find : Simplify the expression ?
Solution :
Writing expression in numeric form,
The cube root of 5 means ![\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%7D)
The square root of 5 times the cube root of 5 means ![\sqrt{5\sqrt[3]{5}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D)
Now, simplify the expression
![\sqrt{5\sqrt[3]{5}}=\sqrt{5\times (5)^{\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B5%5Ctimes%20%285%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{1+\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{\frac{4}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=((5)^{\frac{4}{3}})^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%28%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{4}{3}\times \frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
The expression is five to the two thirds power.
Therefore, Option 3 is correct.