To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
Using a proportional relationship, the amounts are given as follows:
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
- The input variable is the number of tennis players.
- The output variable is the number of soccer players.
From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
y=(x+5)²/6 + 1/3
Step-by-step explanation:
Use the distance formula to plug in the values you know:
√(y+1)² =√(x+5)² +( y-2)²
the square roots cancel out
(y+1) ²= (x+5)² +(y-2)²
(y+1) (y-1)= (x+5)² + (y-2) (y-2)
y²+2y+1= (x+5)² + y² -4y+4
the y² cancel out
2y+ 4y = (x+5)² + 4-1
6y= (x+5)² +3
y= (x+5)² /6+ 1/3
15/9 = 1.6666... (where 6 repeats infinitely)
If we're rounding to 2 decimal places, 6 will round up to 7
Therefore, B. 1.67 is your answer
