Answer:
x° ≈ 77.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and triangle sides. Side CD is common to the triangle on the left and the one on the right, so we can consider relationships that might help us use that to find the answer.
In the triangle on the right, we need a relationship between CD and BD. These sides are opposite and adjacent to the given angle, so we can use the relation ...
Tan = Opposite/Adjacent
tan(38°) = CD/3.5
Multiplying by 3.5, we can find CD:
CD = 3.5·tan(38°)
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In the triangle on the left, we know sides CD and CA, the side opposite x° and the hypotenuse of that right triangle. This lets us use the sine relationship:
Sin = Opposite/Hypotenuse
sin(x°) = CD/2.8
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Using our value for CD, this becomes ...
sin(x°) = (3.5·tan(38°)/2.8)
sin(x°) = (5/4)tan(38°)
Using the inverse sine function, we can find x° to be ...
x° = arcsin(5/4·tan(38°)) ≈ 77.6°
The size of the angle marked x° is about 77.6°.
Answer:
28 games won
Step-by-step explanation:
Total number of games played by the team last year = 35
Percentage of win = 80%
Number of games won can be calculated by finding the win percentage of the total number of games played and thus can be given as :
⇒ 
⇒ 
⇒ 
⇒ 
∴ Number of games won by the team out of 35 games = 28 games
Make everything equal to 360 degrees
x + 73 + 62 + 66 + x + 57 = 360
2x + 258 = 360
2x = 102
x = 51
Answer: 1:2
Step-by-step explanation: plz mark me brainliest
