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:
$12.18
Step-by-step explanation:
Provided:
The price of a 0.8 liter bottle of Mexican wine amounts to 101 pesos.
Consequently,
The price for 1 liter of Mexican wine can be determined as pesos.
Additionally,
Converting, 1 Mexican peso equates to 0.051 dollars.
As a result, the equivalent cost of 1 liter of Mexican wine is dollars.
Moreover,
Knowing that 1 gallon equals 3.78541 liters;
Thus, half a gallon equals = 1.892705 liters.
Therefore, the cost for a half-gallon jug would be dollars.
In conclusion, the price for a half-gallon of this wine is $12.18.