Answer:
The correct option is the option with:
cos Θ = 1/2
tan Θ = -√3
Step-by-step explanation:
Given that
sin Θ = -√3/2
We want to find the values of
cos Θ and tan Θ
First of all,
arcsin (-60) = -√3/2
=> Θ = 60
tan Θ = (sin Θ)/(cos Θ)
tan Θ = (-√3/2)/(cos Θ)
cos Θ tan Θ = (1/2)(-√3)
Knowing that Θ = -60,
and cos Θ = cos(-Θ), comparing the last equation, we have
cos Θ = 1/2
tan Θ = -√3
<span>B. square
</span><span>C. Draw arcs on the circle with the compass set at r units.
</span>
2−1+22+2=32125
Step-by-step explanation:
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Answer:
47
Step-by-step explanation:
There are total 52 cards.
Certain number of cards are lost.
When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .
When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .
When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .
The common number among the three is 47.
The expected value of the game is $8.75.
----------------------
- The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The probability of spinning a 2 and a vowel is:
. - Thus,
probability of getting $50.
- The probability of spinning 2 and a consonant is:

- Thus,
probability of getting $25.
- The probability of spinning 1 and a vowel is:
. - Thus,
probability of getting $5.
- 32 - (6 + 6 + 2) = 18, thus,
probability of earning $0.
The expected value is:




The expected value of this game is of $8.75.
A similar problem is given at brainly.com/question/24961584