Question 5(Multiple Choice Worth 1 points)
1 answer:
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Answer:
The missing height is approximately 78.8011 feet.
Step-by-step explanation:
To solve for the height of the kite, you need to use a trigonometry function called sine. Sine - or sin when used to calculate - is most commonly used for right triangles, and the sine of a right triangle angle is equivalent to the side opposite (or the only side of the right triangle that does not help create that angle) of the angle divided by the hypotenuse of the right triangle. So you can now create the following function to solve the height: sin(52°) = where x represents the unknown height of the kite. From there, you can get that
52°
, which equals approximately 78.8011 feet. Since there isn't a specific decimal place to round to, I rounded the answer to four decimals. If your teacher asks you to round to a specific place value, use 78.8011 to get your simplified answer.
Answer:
Part (A): The number of ways to select 12 jurors are 86493225.
Part (B): The number of ways to select 2 alternates are 306.
Part (C): Part (a) is an example of combination and Part (a) is an example of permutation
Step-by-step explanation:
Consider the provided information.
A band director wants to form a committee of 4 parents from a list of 45 band parents.
Part (A): How many different groups of 4 parents can the band director select?
Since order doesn't matter so we will use combination.
Use the formula for combination
Substitute n=45 and r=4 in above formula.
Hence, the number of ways are 148995.
Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?
Since the order matter so we will use permutation:
The formula for permutation is:
Substitute n=45 and r=4 in above formula.
Hence, the number of ways are 3575880.
Part (C) . Explain the difference between parts (a) and (b) in terms of how you decided to solve each part.
Part (A) is an example of number of combination where order doesn't matter.
Part (B) is an example of permutation where order matter.