Answer:
The speed of the boat in still water u = 8 ![\frac{mi}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bhr%7D)
Step-by-step explanation:
Let speed of the boat = u ![\frac{mi}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bhr%7D)
Speed of the current = v
= 4 ![\frac{mi}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bhr%7D)
Given that the first boat to travel 3 miles upstream and back in a total 1 hour.
So
![\frac{3}{u - v} + \frac{3}{u + v} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bu%20-%20v%7D%20%2B%20%5Cfrac%7B3%7D%7Bu%20%2B%20v%7D%20%20%3D%201)
![\frac{6 u}{u^{2} - v^{2} } = 1](https://tex.z-dn.net/?f=%5Cfrac%7B6%20u%7D%7Bu%5E%7B2%7D%20-%20v%5E%7B2%7D%20%20%7D%20%3D%201)
![u^{2} - v^{2} - 6 u = 0](https://tex.z-dn.net/?f=u%5E%7B2%7D%20-%20v%5E%7B2%7D%20-%206%20u%20%3D%200)
Since v = 4
![u^{2} - 6 u - 16 = 0](https://tex.z-dn.net/?f=u%5E%7B2%7D%20-%206%20u%20-%2016%20%3D%200)
By solving above equation
![u^{2} + 2 u - 8 u - 16 = 0](https://tex.z-dn.net/?f=u%5E%7B2%7D%20%2B%202%20u%20-%208%20u%20-%2016%20%3D%200)
![u (u + 2) - 8 (u + 2) = 0](https://tex.z-dn.net/?f=u%20%28u%20%2B%202%29%20-%208%20%28u%20%2B%202%29%20%3D%200)
![(u - 8)(u +2) = 0](https://tex.z-dn.net/?f=%28u%20-%208%29%28u%20%2B2%29%20%3D%200)
u = 8 , - 2
Since u = -2 is not valid.
⇒ u = 8 ![\frac{mi}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bhr%7D)
This is the speed of the boat in still water.
Answer:
x=61 -> Figure A
x=27 -> Figure B
x=12 -> Figure C
Step-by-step explanation:
<u>For A:</u>
<u>x=61</u> because the line going through the shape cuts in angle into 2 congruent angles
<u>For B:</u>
The corner adds up to 90 because it a rectangle, and rectangles only have right angles.
So: 2x+10+x-1=90
Solve.
3x+9=90
3x=81
<u>x=27</u>
<u>For C:</u>
The two given angles should add up to 90.
4x+10+2x+8=90
Solve.
6x+18=90
6x=72
<u>x=12</u>
He works 42.545 hours in 5 days
For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%
Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92
Step-by-step explanation:
there ya go,,,,,,
.....
4 weeks is half of 8 so you have to multiply 297 by 2 to find 8 weeks. The answer is " he saved $594 during 8 weeks"