It’s 50 degrees cuz alternate exterior angles
Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer
Answer:
![y=-\frac{10}{3}x-23](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B10%7D%7B3%7Dx-23)
Step-by-step explanation:
we have the points
(-9,7) and (-6,-3)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
![m=\frac{-3-7}{-6+9}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3-7%7D%7B-6%2B9%7D)
![m=-\frac{10}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B10%7D%7B3%7D)
step 2
Find the equation in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=-\frac{10}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B10%7D%7B3%7D)
![(x1,y1)=(-6,-3)](https://tex.z-dn.net/?f=%28x1%2Cy1%29%3D%28-6%2C-3%29)
substitute
---> equation in point slope form
step 3
Find the equation of the line in slope intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![y+3=-\frac{10}{3}(x+6)](https://tex.z-dn.net/?f=y%2B3%3D-%5Cfrac%7B10%7D%7B3%7D%28x%2B6%29)
Isolate the variable y
Distribute right side
![y+3=-\frac{10}{3}x-20](https://tex.z-dn.net/?f=y%2B3%3D-%5Cfrac%7B10%7D%7B3%7Dx-20)
subtract 3 both sides
![y=-\frac{10}{3}x-20-3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B10%7D%7B3%7Dx-20-3)
![y=-\frac{10}{3}x-23](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B10%7D%7B3%7Dx-23)
Answer:
<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.
We know that, ![Speed = \frac{Distance}{Time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7BDistance%7D%7BTime%7D)
So, the <u>speed of Pratap with the current</u> will be:
miles/hour
and the <u>speed of Pratap against the current</u> will be:
miles/hour.
Suppose, the rate of Pratap in still water is
and the rate of current is
.
So, the equations will be........
![x+y= 5 .............................. (1)\\ \\ x-y=4 .............................. (2)](https://tex.z-dn.net/?f=x%2By%3D%205%20..............................%20%281%29%5C%5C%20%5C%5C%20x-y%3D4%20..............................%20%282%29)
Adding equation (1) and (2) , we will get......
![2x=9\\ \\ x=\frac{9}{2}= 4.5](https://tex.z-dn.net/?f=2x%3D9%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B9%7D%7B2%7D%3D%204.5)
Now, plugging this
into equation (1), we will get.....
![4.5+y=5\\ \\ y=5-4.5 =0.5](https://tex.z-dn.net/?f=4.5%2By%3D5%5C%5C%20%5C%5C%20y%3D5-4.5%20%3D0.5)
Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.
First step is find profit so lets subtract 93 and 15.
93-15=78
Finally we can divide profit by 3 students, so
78:3=26$ its the answer