A slice is made perpendicular to the base of a right rectangular pyramid through the vertex. What is the area of the resulting two-dimensional cross section?

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cm²

The figure is a square pyramid. Two sides of the square base are labeled 15 centimeters. A plane intersects the pyramid through the pyramids vertex and base. The plane is perpendicular to the pyramids base. A shaded triangle appears in the interior of the pyramid and lies on the intersecting plane. The height of this triangle is labeled 34 centimeters and is equal to the height of the pyramid. The base of the triangle is equal to the side length of the pyramids square base.

Grandma made an apple pie. josh and his brother joe finished 4/5 of it. then 3 friends came over and shared the left over. how much pie did each friend eat

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Bob is putting books on a shelf and takes a break after filling 18 1/2 inches on the book shelf. the book shelf is now 2/3 full. how long is the entire bookshelf?