Answer:
D
Step-by-step explanation:
The longest side is twice as long as the shortest side because lets suppose I have a triangle that has vertices with angles 30 and 60, the last one has to be 90 because the total is 180 degrees. Now for a 30 60 triangle, if the hypotenuse has a length of 2, the following ratios will hold true for the other two sides. The side that shares the 90 degrees and 60 degrees corners will be of length 1 and the side that shares the 30 degrees and 90 degrees corners (vertices) will be of length sqrt(3). This is true all the time. In this case the correct answer is that the longest side is twice as long as the shortest side because the longest side is the hypotenuse with length 2 and the shortest side will be the one that shares the 90 degrees and 60 degrees corners and is of length 1.
Answer:
II and III
Step-by-step explanation:
Causation always means coorelation, but corelation doesn't always mean causation.
Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.
Therefore, only II and III are correct.
Answer:
The amount saved is $3,010
Step-by-step explanation:
Here, we want to calculate the amount saved
On the normal 4%, the amount charged is
4/100 * 172,000 = $6,880
For the 2.25%, we have
2.25/100 * 172,000 = $3,870
The amount saved is thus;
$6,880-$3,870
= $3,010
There are 10,626 ways of arranging the required offices from a body of 24 students.
<h3>What is combination?</h3>
Combination deals with the way in which a arrangement can be made from a particular lot. In this case, we want to select a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.
Hence;
24C4 = 24!/4! (24 - 4)! = 24!/4!20!
So;
24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1
= 24 * 23 * 22 * 21 / 4 * 3 * 2*1
= 10,626 ways
Learn more about combination: brainly.com/question/26852614