Answer:
The answer would be B) 120
Step-by-step explanation:
In the triangle with angle 2 and 3, it has a right angle in it, making angle 2 and 3 added together 90 degrees. But you have to figure out what angle 2 and 3 equal. Well the whole triangle is equilateral, making all three angles equal to 60 degrees. Angle 3 is half of 60 degrees because it is split by the dotted line. This makes angle 3 equal to 30 degrees. Now you can find the measure of angle 2. 30(angle 3) plus 90(right angle) equals 120 degrees. This makes angle 2 equal to 60 degrees. In this image, angle 2 is half of angle 1. So angle one is equal to 120 degrees. I hope this helps.
Answer:
480
Step-by-step explanation:
first add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral 
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:
We will use Integration by parts formula to solve our given problem.
Let 
and 
.
Now, we need to find du and v using these values as shown below:
Substituting our given values in integration by parts formula, we will get:
Compute the boundaries:
Therefore, the value of the given integral would be 8.733046.
Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.
