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gayaneshka [121]
3 years ago
15

Find the first six terms of the sequence.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Answer:

6, 12, 24, 48, 96, 192

Step-by-step explanation:

The first term a1 = 6 and the common ratio is 2.

So it is 6,  6*2,  6*2^2 ....

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can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
2 years ago
I’ll give brainlist if correct
Zepler [3.9K]

Answer:

-5,-8

Step-by-step explanation:

6 0
3 years ago
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PLEASE SHOW WORK SO I UNDERSTAND THANKS :)<br> -0.3 * -(11)/(30)
Kaylis [27]

Answer:

0.11

Step-by-step explanation:

The answer would be 0.11, i just used a calculator lol

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In a week karry ran 9.3 miles and Tricia ran 4.4 miles.Use mental math to find how much farther Karry ran than Tricia.Explain ho
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Karry ran 4.9 miles more than Tricia. I determined the difference but subtracting the miles to see how many more karry ran.<span />
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