Answer:
choice b
Step-by-step explanation:
3.49
____ = 0.1396 ≈ 0.14 or 14 cents per ounce
25
4.79
____ = 0.10644444 ≈ 0.11 or 11 cents per ounce
45
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
By using the triangular inequality, we will see that no triangles can be made with these side lengths.
<h3>
How many triangles can be made with these side lengths?</h3>
Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.
This means that the sum of any two sides must be larger than the other side.
A + B > C
A + C > B
B + C > A.
For the given side lengths, we will have:
8 in + 12 in > 24 in
8in + 24 in > 12 in
12 in + 24 in > 8 in.
Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.
So we can make 0 unique triangles with these side lengths.
If you want to learn more about triangles:
brainly.com/question/2217700
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