Answer:
Using Pythagorean theory : a²+9²=15²
=> a²=225-81=144
=> a = √144 = 12
Step-by-step explanation:
Answer: The question is incomplete
Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.
However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.
To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).
Therefore to determine how many yes votes there was, is calculated as follows;
Let yes votes be y and no votes be x'
y = (8/13) * 12779
y = 102232/13
y = 7864
<em>Based on my example that the ratio of yes votes to no votes is 8 to 5, </em>
Then the number of yes votes was 7,864.
Step-by-step explanation:
Rate of change = final - initial / time(in years)
= 41 - 43 / 2014 - 2012
= - 2 / 2
<u>Rate of change</u> = <u>- 1</u>
Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.
Answer:
12
Step-by-step explanation:
The sum of the measures of the interior angles is given by:

n:sides of the polygon
And in a convex polygon the sum of the exterior angles sums 360°
Then

You just solve it and the answer is 12.
Answer:
The players ran 150 meters
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:
90² + 120² = c²
8100 + 14400 = c²
c² = 22500
√c² = √22500
c = 150