Answer:
The distance is 280 miles
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Step-by-step explanation:
Given
When going to the mountain:
Let the speed be x.


When going home:


Required
Determine the distance of the mountains
Distance is calculated as:

When going to the mountains, the distance is:

When going home, the distance is:

It should be noted that, the distance is the same.
So, we have:

Open bracket


Collect Like Terms


Divide both sides by 3


Substitute 35 for x in



<em>The distance is 280 miles</em>
The mean temperature is 20 degrees celsius
Answer:
0.204 KN
Step-by-step explanation:
Height above cube h= (100-15)/100 = 0.85 m
a) force on the top of the cube = ρgh×area
= 1000×9.81×0.85 = 8330 N/m^2
= 833 KN/m^2*0.15^2= 0.187 KN
b) Force on one side of the cube
on top = 8.33 KN/m^2
at bottom ρgh
= 1000×9.8×100/100
=9800 N/m^2
Net Force = area of the diagram
= 8.33×(15/100)^2 + 1/2(9.8-8.33)×(15/100)^2
= 0.204 KN
Answer:
x = 0, y = -4
Now plug it in:
y = mx + b
-4 = b
So the y intercept is -4
You can also graph the equation.
Answer:


Step-by-step explanation:

a) about the line y = 3
⇒
is the intersection point
So,

b) about the line x = 5
⇒ 
So,
![V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E3_0%5Cpi%28%5B5-0%5D%5E2-%5B5-y%5E2%2F9%5D%5E2%29%5C%3Ady%3D%5Cpi%5Cint%5Climits%5E3_0%2825-25%2B10y%5E2%2F9-y%5E4%2F81%29%5C%3Ady%3D%5C%5C%5C%5C%3D%5Cpi%2810y%5E3%2F27-y%5E5%2F405%29%7C%5E3_0%3D%5Cpi%2810-3%2F5%29%3D%5Cfrac%7B47%7D%7B5%7D%20%5Cpi)