Answer:
x = -11
Step-by-step explanation:
2x + 23 + 9 = x + 21
Combine common factors
2x + 32 = x + 21
Subtract x from both sides
x + 32 = 21
Subtract 32 from both sides
x = -11
Answer:
<h2>50.8°</h2>
Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
Answer:
The correct option is;
C. The only swimmers in the 100-m butterfly race are from the rival swim team
Step-by-step explanation:
The question is a word problem
The given information in the question are;
The names (first and last names) of all the competitors are different
The set, (which are the names) of the swimmers taking part in the 100-m butterfly race = The set (which contains the names) of swimmers from the rival team
Therefore, the only members of the set (the only names in the set) of swimmers taking part in the 100-m butterfly race are (the names of the swimmers from the rival swim team) from the rival swim team.
Answer:
198 pages have no mistakes.
Step-by-step explanation:
We are given the following in the question:
The number of mistakes on a page follows a poison distribution with
Formula:
We have to find the probability that there are no mistakes on a page.
Thus, approximately 99.01% of the pages have no mistakes.
Number of pages =
Thus, 198 pages have no mistakes.
Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
