A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to
1 answer:
Answer:
1280ft²
Step-by-step explanation:
To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.
The area of the square base is
The area of the four triangular faces is
In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof
You might be interested in
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is
.
Plugging 15 and 35 in x, we can find the values of the function, i.e.
and 
.
Then, the average change is
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is
Plugging 15 and 35 in x, we can find the values of the function, i.e.
Then, the average change is
A unit rate simply means how many of one type of units you get per 1 other type of unit.
Examples of that:
This is rate of fluid flow of some pump for example. It pumps 300 liters every second.
Other example:
This is example for speed. Somebody is moving at 50 kilometers per hour (every hour he travels 50 kilometers)
Examples of that:
This is rate of fluid flow of some pump for example. It pumps 300 liters every second.
Other example:
This is example for speed. Somebody is moving at 50 kilometers per hour (every hour he travels 50 kilometers)