Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area
2 answers:
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Answer:
B. The area of the base of the pyramid, B, is 24 centimeters squared.
C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.
Step-by-step explanation:
Given a rectangular pyramid with:
Height=9 cm
Base Dimensions = 4 centimeters by 6 centimeters
Base Area B=4 X 6 =24 Square cm.
Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.
Volume of a pyramid =
Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters
=Base Area X Height
=24 X 9
Now, 216/72=3
Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid
Therefore, <u>Option C is correct.</u>
Answer: After 7 years the population will be one-half the initial amount.
Step-by-step explanation:
Given: Initial population = 500,000
The population declines according to the equation:
, where P is the population in t years later.
One-half the initial amount = 0.5 x 500,000
= 250,000
Put P(t)=250,000, we get
Hence, After 7 years the population will be one-half the initial amount.