So the solid consist of 1 pentagon, 5 congruent equilateral triangle and 5 congruent squares and has 11 vertices so the number of edges of this solid is 20. I hope you are satisfied with my answer and feel free to ask form more if you have more clarifications.
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:
![x+16=\frac{420-y}{5}...(1)](https://tex.z-dn.net/?f=x%2B16%3D%5Cfrac%7B420-y%7D%7B5%7D...%281%29)
![x=\frac{y}{5}...(2)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7By%7D%7B5%7D...%282%29)
Upon substituting
in 1st equation we will get,
![\frac{y}{5}+16=\frac{420-y}{5}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B5%7D%2B16%3D%5Cfrac%7B420-y%7D%7B5%7D)
Upon multiplying both sides of our equation by 5 we will get,
![5(\frac{y}{5}+16)=420-y](https://tex.z-dn.net/?f=5%28%5Cfrac%7By%7D%7B5%7D%2B16%29%3D420-y)
![y+80=420-y](https://tex.z-dn.net/?f=y%2B80%3D420-y)
![y+80+y=420-y+y](https://tex.z-dn.net/?f=y%2B80%2By%3D420-y%2By)
![2y+80=420](https://tex.z-dn.net/?f=2y%2B80%3D420)
![2y=420-80](https://tex.z-dn.net/?f=2y%3D420-80)
![2y=340](https://tex.z-dn.net/?f=2y%3D340)
Upon substituting y=170 in 2nd equation we will get,
![x=\frac{170}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B170%7D%7B5%7D)
![x=34](https://tex.z-dn.net/?f=x%3D34)
Therefore, Charlene's speed is 34 miles per hour.
Answer:
16
Step-by-step explanation:
Following the order of operations (PEMDAS), combine the terms in your parentheses:
![8/2(4)](https://tex.z-dn.net/?f=8%2F2%284%29)
Remember that we follow the order of operations from left to right.
Divide 8 into 2:
![4(4)](https://tex.z-dn.net/?f=4%284%29)
Multiply:
![16](https://tex.z-dn.net/?f=16)
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4