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Aleksandr-060686 [28]
3 years ago
14

In 2017, there were about 21 million teenagers (aged 13-17) in the United States. They each

Mathematics
1 answer:
vivado [14]3 years ago
5 0

The Number of text messages sent in a month is 1.68 × 10^{(-8)}

Step-by-step explanation:

Step 1 :

Total number of teenagers in United States = 21 million

Average text messages sent per month = 800

We need to find the number of text messages sent each month

Step 2 :

The number of text messages in a month can be computed by taking the product of the total number of teenagers and average messages sent per month

Therefore

Number of text messages that is sent in a month = 21 million ×  800

                                                                      = 21 × 10^{6} × 800

                                                                     = 168  × 10^{6} = 1.68 × 10^{(-8)}

Step 3 :

Answer :

The Number of text messages that is sent in a month is 1.68 × 10^{(-8)}

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By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

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According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

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