Which rule describes the relationship between the x- and y- coordinates on line m?
1 answer:
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<h2>Answer</h2>
Cost of lectures = $7.33 per hour
<h2>Explanation</h2>Let the cost of the exam hours
Let be the cost of the workshop hours
Let be the cost of the lecture hours.
We know from our problem that exam hours cost twice as much as workshop, so:
equation (1)
We also know that workshop hours cost twice as much as lecture hours, so:
equation (2)
Finally, we also know that 3hr exams 24hr workshops and 12hr lectures cost $528, so:
equation (1)
Now, lets find the value of :
Step 1. Solve for in equation (3)
equation (4)
Step 2. Replace equation (1) in equation (4) and simplify
equation (5)
Step 3. Replace equation (2) in equation (5) and solve for
Cost of lectures = $7.33 per hour
Answer:
Step-by-step explanation:
Given
--- area of each square
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
The length of two squares make up the radius of the semicircle.
So:
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
The area of the semicircle is:
So, the area of the window is:
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
The area is:
The radius of the semicircle becomes initial radius + 4
The area is:
The area of the shade is:
