Given that line PN is a perpendcular bisector of line AB, then angles APN and BPN are equal to 90 degrees each.
Also, given that line PN is an angle bisector to angle CPD and angle CPD measures x, then the measure of angle DPN is

.
Thus, the measure of angle DPB = angle BPN - angle DPN

Therefore,
Multiply then add and then subtract
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.
Answer:
Jennifer's speed is 2.4 miles/hour
Kamlee's speed is 2 miles/hour
Step-by-step explanation:
To find their speed,
Speed can be determined from the formula below,

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)
For Jennifer,
Distance = 4/5 miles
Time = 20 mins (Convert to hour)
∴Time = (20/60) hour = 1/3 hour
Hence,




Hence, Jennifer's speed is 2.4 miles/hour
For Kamlee,
Distance = 5/6 miles
Time = 25 minutes (Convert to hour)
Time = (25/60) hour = 5/12 hour
Hence,




Hence, Kamlee's speed is 2 miles/hour