Answer: 8/9
Step-by-step explanation:
The common multiple they all share is 18, so change the denominator to that for all the fractions.
2/3 = 12/18
13/18 = 13/18
7/9 = 14/18
5/6 = 15/18
The next answer would be 16/18 which is equivalent to 8/9
Volume of Pyramid = (1/3)*(base area) * height.
32 ft³ = (1/3)*(4*4)* h. Since Pyramid is square based.
32 = (16/3)*h
16h/3 = 32
h = 32*3/16
h = 6
Height = 6 feet. Option C.
Volume of the pyramid:
Perimeter of the cross-section:
Area of the cross-section:
First derivative test:
Then the height of the cross-section/pyramid is
The volume of the pyramid that maximizes the cross-sectional area 
is
The pattern here is the number times 3 then plus 1
We can check this by plugging it in.
1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.
We can continue to check this with the rest of our sequence.
4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.
13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.
40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.
We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364
So the next number in the sequence is 364
Answer:
C and D
Step-by-step explanation:
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