PLEASE SOMEONE TELL ME HOW THEY GOT 423 cm AS THE ANSWER FOR A. I NEED HELP WITH THIS QUESTION!!!!!!!!!!!!!
1 answer:
From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
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Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.
No , the order in which the members of the committee are chosen is not important.
Step-by-step explanation:
Given : The total number of students in the council = 30
The number of students needed to be chosen = 5
The order in which the members of the committee are chosen does not matter.
So we Combinations (If order matters then we use permutations.)
The number of combinations of to select r things of n things =
So the number of ways a committee of 5 students can be chosen from a student council of 30 students=
Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.