Using the side length as the hypotenuse of a right triangle and half the given angle as the adjacent angle. Find the length of the base of a right triangle. This would be half the length of BD.
Cos(60) = adjacent leg/ 10
adjacent leg = cos(60) x 10
Adjacent leg = 5
Length of BD = 5x 2 =
10
Answer:
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Step-by-step explanation:
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Step-by-step Answer:
Customer is allowed to choose any five, where order does not count.
This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.
Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.
Mathematically, this number is represented by
C(11,5) = 11!/(6!5!) = 462, and is read
"Combination of 5 choices out of 11", or simply "11 choose 5".
The function f(x) = 5(0.8)x is located in the first quadrant, forming a increasing curve. Imagine the reflection of the graph of the function. It is located in the fourth quadrant, forming a decreasing curve.
The graph that shows reflection is just the negative of the function. So the answer is (x) = –5(0.8)<span>x</span>
<em>*100% Correct answers</em>
Question 1
A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.
0.088
Question 2
Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.
0.13101963141
Question 3
Katie creates a game in which 3 dimes are flipped at the same time.
5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).
0.875
