Answer:
They are not similar
Step-by-step explanation:
To determine whether the prism are similar we need to calculate their volumes
Volume of a prism = Base Area * Height
Volume of the first prism = 18ft *8 * 8ft
Volume of the first prism = 1152ft^2
Volume of the second prism = 30t * 15 * 15ft
Volume of the second prism = 6,750ft^2
Since the volumes are different, the prism are not similar.
Answer:
The smaller number is 127
Step-by-step explanation:
Lets write the given problem in equation form
sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1
now we find twice of the sum of consecutive numbers n and n + 1
2*(2n + 1) = 4n + 2
given that
twice the sum of consecutive numbers n and n + 1 is 510
thus,
4n + 2 = 510
=> 4n = 510 -2 = 508
=> n = 508/4 = 127
Thus, the numbers are n = 127
n+1 = 127 + 1 = 128
the smaller number is 127
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Answer:
n = 13
Step-by-step explanation:
1/5(n + 3) + 4 = 3/10(2n - 2)
~Simplify both sides
1/5n + 3/5 + 4 = 3/5n - 3/5
~Combine like terms
1/5n + 23/5 = 3/5n - 3/5
~Subtract 23/5 to both sides
1/5n = 3/5n - 26/5
~Multiply 5 to both sides
n = 3n - 26
~Subtract 3n to both sides
-2n = -26
~Divide -2 to both sides
n = 13
Best of Luck!
