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Answer:
A) Volume of Prism = 48 ft cubed
B) Volume of Pyramid = 16 ft cubed
C) 1/3
This equation is true for all rectangular prisms and rectangular pyramids with the same length, same width, and same height.
Step-by-step explanation:
1) find the volume of the prism
2) volume of a prism = Length x Width x Height
3) 4 x 2 x 6 = 48
4) find the volume of the pyramid
5) volume of a pyramid = Length x Width x Height divided by 3
6) 4 x 2 x 6 = 48 divided by 3 = 16
Hope this helps :)
Let the nth term be given by the expression an²+bn+c.
We can write A: -7=a+b+c B: -6=4a+2b+c C: -3=9a+3b+c
D: B-A: 1=3a+b
E: C-B: 3=5a+b
E-Dm 2=2a, a=1, b=1-3=-2, c=-7-1+2=-6.
So the expression for the nth term is n²-2n-6.
Put n=4: 16-8-6=2 which fits the sequence.
Put n=5: 25-10-6=9 which also fits the sequence.
So the nth term is
There is a 50% chance that a small marble is chosen
Answer:
After simplifying, our answer is 10
Step-by-step explanation:
20-31 gives the distance between 20 and 30
Now, for -5 and -15
The similar expression to write will be -5-(-15)
Simplifying this, we have;
That would be -5+15 = 10