Answer:
Symbolab helps a lot!!! I got the answer y=4/5×+1/2
Answer:
Step-by-step explanation:
Cost per quarter mile = $0.40
Cost per mile = 0.40 * 4 = $ 1.60
Let the distance traveled be x miles.
A) $1.85 + $ 1.60 * x = 1.85 + 1.60x
B) x =8 miles
1.85 + 1.6 * 8 = 1.85 + 12.8 = $ 14.65
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):
![A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283%29%284%29%20%3D%206ft%5E2%20)
The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
![A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%288%29%283%29%20%3D%2012m%5E2)
![A_r = bh = 12(8) = 96m^2](https://tex.z-dn.net/?f=A_r%20%3D%20bh%20%3D%2012%288%29%20%3D%2096m%5E2)
Now we just add them:
![96+12 = 108m^2](https://tex.z-dn.net/?f=96%2B12%20%3D%20108m%5E2)
So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:
![A_t = \frac{1}{2}bh](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh%20)
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
![A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%282.5%29%285%29%20%3D%206.25cm%5E2%20)
Multiply by 4 to get total area:
![6.25*4 = 25cm^2](https://tex.z-dn.net/?f=6.25%2A4%20%3D%2025cm%5E2)
So, the area of the given rhombus is
25cm².
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
Step-by-step explanation: