Answer:
Mika would be 84 meters ahead
Step-by-step explanation:
48/4= 12
12*3= 36
36+48=84
The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>
The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
![A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_1%26x_2%5C%5Cy_1%26y_2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_2%26x_3%5C%5Cy_2%26y_3%5Cend%7Barray%7D%5Cright%5D%20%2B%20....%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_n%26x%5C%5Cy_n%26y%5Cend%7Barray%7D%5Cright%5D%20%29)
So, we have:
Evaluate
Remove the absolute bracket
This gives
Hence, the area of the convex polygon is 43/2 square units
Read more about convex polygon at:
brainly.com/question/14522707
#SPJ1
Answer:
The most cost effective company will be Painting USA that charge $700 to paint Paul house .
As given
Paul is going to have the exterior of his home painted.
Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.
If it takes 25 hours to paint Paul’s house.
Total amount charge by Painting USA = Painting USA charges for come out and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .
Total amount charge by Painting USA = 75 + 25 × 25
= 75 + 625
= $ 700
As given
Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.
Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house
= 40 × 25
= $ 1000
Therefore the most cost effective company will be Painting USA that charge $700 to paint Paul house .
Step-by-step explanation:
