Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
Let's use Newton's Law of Universal Gravitation, which is expressed as<span>F=G<span><span><span>(m1</span><span>m2)/</span></span><span>r2</span></span></span>We can find the force of attraction between them. Then, to find the acceleration from<span>F=<span>m1</span><span>a1</span> <span>and</span> F=<span>m2</span><span>a2</span></span>I'll take it you know the equations of motion for constant acceleration. <span>y=<span>1/2</span>a<span>t^2</span></span>
Obviously, as they accelerate towards each other, the radius between
them decreases, meaning the force of gravitation between them increases,
meaning they accelerate faster.
Y=mx+c
-4=6(12)+c
-4=72+c
-4-72=c
c=-76
y=mx+c
y=6x-76
So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.
Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:
1/30 * 1/29 = <em>1/870</em>
All done!
Answer: The answer is shorter than and ll
Step-by-step explanation:
