Find the measure of angle BAC

Mathematics

1 answer:

Anon25 [30]3 years ago

7 0

I can not seem to be able to read the picture however a circle must add up to 360 degrees so if you have the other 2 angle measurements then you can figure it out by adding the 2 angles then subtracting that from 360 and there is your answer

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The sum of the series.<br><br> Can you explain how to do? Thanks!

Doss [256]

Answer:

5115

Step-by-step explanation:

First of all, we need to assume there is a typo involved, and that the expression is supposed to be ...

$\displaystyle\sum_{i=1}^{10}{5\left(\dfrac{1}{2}\right)^i}$

The values being summed look a lot like the general term of a geometric sequence:

$a_1(r^{n-1})$

The exponents in the sum range from 1 to 10, so the values being summed range from 5/2 to 5/1024. In order for that to be the case with our general term, for r = 1/2, we must have a1 = 5/2 as we let n range from 1 to 10.

The sum of the terms of the geometric sequence is ...

$S_n=a_1\dfrac{1-r^n}{1-r}\\\\S_{10}=\dfrac{5}{2}\cdot\dfrac{1-\left(\dfrac{1}{2}\right)^{10}}{1-\dfrac{1}{2}}=\dfrac{5}{2}\cdot\dfrac{1023}{512}=\dfrac{5115}{1024}$