Triangle ABC is a right triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x and round to the nearest whole n
umber.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly uses the value of x to represent the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction
cos(53o) = StartFraction y Over 5 EndFraction
cos(53o) = StartFraction x Over 4 EndFraction
cos(53o) = StartFraction 5 Over y EndFraction
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly uses the value of x to represent the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction
cos(53o) = StartFraction y Over 5 EndFraction
cos(53o) = StartFraction x Over 4 EndFraction
cos(53o) = StartFraction 5 Over y EndFraction
1 answer:
Answer:
cos(53°)=StartFraction y Over 5 EndFraction
Detailed explanation:
Refer to the attached illustration for clarification on the problem
Step 1
Calculate the value of x
We understand that
Resolve for x
Step 2
Calculate the cosine of angle A
The cosine of angle A can be found by dividing the adjacent side to angle A (AC) by the hypotenuse (AB)
Now substituting the value of x
therefore
cos(53°)=StartFraction y Over 5 EndFraction
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Answer: The mean and variance of Y are $0.25 and $6.19 respectively.
Step-by-step explanation:
The scenario is as follows: You and a friend participate in a game involving tossing a fair coin.
The sample space for tossing two coins is {TT, HT, TH, HH}
Let Y represent the earnings from one round of the game.
If both faces are heads, you win $1; therefore, P(Y=1)=P(TT)=
You win $6 if both faces are heads, so P(Y=6)=P(HH)=
If the faces do not match, you lose $3 which means P(Y=1)=P(TH, HT)=
To find the expected value to win: E(Y)=
Thus, the mean of Y: E(Y)= $0.25
Variance =
Therefore, variance of Y = $ 6.19