What is the number of terms in this geometric series? 1+2+4+...+64
1 answer:
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Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need to be true in order for an acute triangle to happen.
So,
Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,
We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9
9514 1404 393
Answer:
- no parts have the same color (0)
- yellow, blue, red
- percentages can be written in several forms: fraction, decimal, for example. The sectors can also be identified by their angle measures.
- see attached
Step-by-step explanation:
1. The seven different sectors have seven different colors. No parts have the same color.
2. The attached table lists the sectors in decreasing order of size. The largest three are yellow, blue, red.
3. Percentages can be written a number of ways. They can be written as decimal numbers, or as fractions. In a pie chart, the sectors can also be given an angle measure.
4. Fraction equivalents of the percentages are shown in the attached.
5. Reduce fraction equivalents of the percentages are shown in the attached.
