Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) = 
tan (∠s) = 
Set them equal to each other to get:
= 
Solve:

Part B:
Using tan (∠s) = 
We get:
meters
Hope that helps!
Answer:
The production cost is Rs 12,500
Step-by-step explanation:
Let the production cost be $x
At any point in time
sales price = cost price +( profit percentage* cost price)
Manufacturer gaining 6%
That would be;
x + 6% of x
x + 0.06x
= 1.06x
Wholesaler gaining 8%
= 1.06x + 8% of 1.06x
1.06x + 0.08(1.06x)
= 1.06x + 0.0848x
= 1.1448x
The for the retailer
= 1.1448x + 10% of 1.1448x
= 1.1448x + 0.11448x
= 1.25928x
1.25928x = 15,741
x = 15,741/1.25928
x = 12,500
Answer:
405
Step-by-step explanation:
45% of 900
=(45/100) . 900
=405
Answer:
(x, y) = (0, -2248)
Step-by-step explanation:
<u>Substitution</u>
Substitute for y:
300x -2248 = 350x -2248
0 = 50x . . . . . . . . add 2248-300x to both sides
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<u>Elimination</u>
Subtract the first equation from the second.
(y) -(y) = (350x -2248) -(300x -2248)
0 = 50x
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<em>Additional comment</em>
If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.