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<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>
We can write how will be defined but that's too much work and it's only useful when we are evaluating
with many inputs.
First let's solve for first. As you read through this answer, you'll get the idea of what I'm doing.
Given:
Solving for :
Now we can solve for , since
,
.
Given:
Solving for :
Now we are can solve for . By now you should get the idea why
.
Given:
Solving for :
The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter
Please find attached the simple <u>diagram of the house</u> with all measurements labeled
The reason the above value for the pitch and the diagram are correct are as follows:
The given parameters are;
Width of the section of the house on which the gable of the roof is to be placed = 50 feet
Length of the over hang on the sides of the roof = 1 foot each
Total span of the roof = 52 feet
Horizontal length of each rafter, the run = 26 feet
The height of the ridge above the top of the frame, the rise = 12 feet
Required:
- To find the pitch of the roof
- To draw a diagram of the house showing measurements
Solution:
Please find attached the <u>diagram</u> of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed
Learn more about finding the slope of a line here:
