PLEASE PLEASE HELP 50 POINTS
1 answer:
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Answer:
In that scenario, you will have the shape of a triangle, with the measures of two sides (the two slopes of the roof) and one angle (the peak angle).
Based on that it's easy to find out the length of the other side of the triangle, which in this case would the width of the house, going from the ending tip of the left part of the roof to the ending tip of the right part of the roof.
Let's name a and c the sides of the roof, and the angle B the peak of the roof.
We are then looking for the length of the b side, that would connect sides a and c.
By the Cosines Law, we know that
Which we can transform to isolate b, this way:
So, you just have to enter the length of both sides of the roof and the angle, to get the measurement of the width of the house.
Answer:
See below.
Step-by-step explanation:
In comments, you said you wanted it graphed.
If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.
But, in an effort to try and help you ....
With the data you have given, I would graph it just like y = 150 (1.3)^x
You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.
If x = 0, y= 150(1.3)^0 = 150(1) = 150 because anything to power zero is 1
If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7
If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195
And so on.
I did the graph on DESMOS and it has a very large scale.
