7. The largest of the Great Pyramids in Egypt was built with a square base,
1 answer:
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid =
=
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid =
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
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Answer:
Step-by-step explanation:
Let .
and
The graph of the two equations are shown in the attachment.
The points where the two graphs intersected are:
The x-coordinates of the intersection points are the solutions to .
Therefore the solutions are:
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function
Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
Therefore, we conclude that the function is one-to-one.
