Answer:
total surface area = 936 in²
Step-by-step explanation:
total surface area = surface area of the pyramid + surface area of the cube
1. surface area of the pyramid = 4 * area of lateral triangle side
area of lateral triangle side = 12 * 9 /
area of lateral triangle side = 54 in²
2. surface area of the pyramid = 4 * 54
surface area of the pyramid = 216 in²
3. surface area of the cube = 5 * (12 x 12)
-surface area of the cube = 720 in²
therefore, the total surface area = 216 in² + 720 in²
total surface area = 936 in²
Answer:
(Down Below.)
Step-by-step explanation:
For Monica, 7% sales tax.
For Anthony, 5.75% sales tax.
For Thomas, 2.9% sales tax.
Answer:
Graph these points listed below
Step-by-step explanation:
Graph the following points:
(6 am, 50)
(9 am, 59)
(1 pm, 63)
(6 pm, 63)
(8 pm, 59)
(12 am midnight, 58)
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Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:

We can write this as:

If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:

Then we have the inequality

And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.