MATHEMATICS HIGH SCHOOL

Use the Special Right Triangle to evaluate sin 60°, cos 60° and tan 60°. Your answers should be exact (not a decimal).A. sin 60 = 1/2, cos 60 = √3/2, tan 60 = √3/3
B. sin 60 = √2/2, cos 60 = √2/2, tan 60 = 1
C. sin 60 = 1, cos 60 = 0, tan 60 = undefined
D. sin 60 = √3/2, cos 60 = 1/2, tan 60 = √3

Answers

Answer 1
Answer: sin(60) = ¹/₂√3
cos(60) = ¹/₂
tan(60) = √3

The answer is D.
Answer 2
Answer:

Answer:

The answer is D.

Step-by-step explanation:

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Samuel pulls two coin out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quarter, what is the probability that he pulled more than 20 cents out of his pocket? Justify your work by creating a tree diagram or a sample space.

Answers

2:3 3 possible options (quarter+dime= 35, quarter+nickel=30, dime+nickel=15) two options are more than 20

Final answer:

The probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.

Explanation:

In order to find the probability that Samuel pulls more than 20 cents out of his pocket, we need to determine the sample space and the favorable outcomes.



The sample space is the set of all possible outcomes, which in this case is the number of ways Samuel can choose 2 coins out of the 3 coins in his pocket. The number of ways to choose 2 coins out of 3 is given by the combination formula, which is C(3, 2) = 3.



The favorable outcomes are the number of ways Samuel can choose 2 coins that total more than 20 cents. Since Samuel has a nickel (5 cents), a dime (10 cents), and a quarter (25 cents), the favorable outcomes are:



  1. Choosing the dime and quarter, which has a total value of 10 + 25 = 35 cents
  2. Choosing the nickel and quarter, which has a total value of 5 + 25 = 30 cents



Therefore, there are 2 favorable outcomes out of a total of 3 possible outcomes, so the probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.

Learn more about Probability here:

brainly.com/question/22962752

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Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros in simplest radical form

Answers

y= (1)/(2)x^2 - 4 \n \ny=0 \n \n (1)/(2)x^2 - 4 =0\ \ / *2\n \nx^2-8 =0 \n \n(x-√(8))(x+√(8))=0 \n \n x-√(4 \cdot 2)=0 \ \ or \ \ x+√(4 \cdot 2)=0 \n \n x-2√( 2)=0 \ \ or \ \ x+2√( 2)=0 \n \n x=2√( 2) \ \ or \ \ x=-2√( 2)

Functions f(x) and g(x) are both increasing. In addition, the range of g is in domain of f. Prove that composite function f(g(x)) is increasing

Answers

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Hakim recorded his finishing time, in seconds, for each time he ran the 100 m race during one track season.What was the median of his finishing times?

12.0, 12.4, 11.9, 12.1, 12.2, 12.4, 12.1, 12.3, 11.9

Answers

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A hand of five cards is dealt from a normal pack of 52 cards, find the probability that there is no aces

Answers

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Answers

Answer:

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