Answer:
Step-by-step explanation:
Total earnings = f(x) = 6x
Total expenses =g(x) = 0.5x + 50
Profit p(x) = f(x) - g(x)
= 6x - ( 0.5x + 50)
= 6x - 0.5x - 50 = 5.5x - 50
<u>Given</u>:
Given that a basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide.
We need to determine the length of the diagonal to the court.
<u>Length of the diagonal:</u>
The length of the diagonal can be determined using the Pythagorean theorem.
Thus, we have;
![d^2=l^2+w^2](https://tex.z-dn.net/?f=d%5E2%3Dl%5E2%2Bw%5E2)
where d is the diagonal, l is the length and w is the width of the rectangle.
Substituting the values, we have;
![d^2=94^2+50^2](https://tex.z-dn.net/?f=d%5E2%3D94%5E2%2B50%5E2)
![d^2=8836+2500](https://tex.z-dn.net/?f=d%5E2%3D8836%2B2500)
![d^2=11336](https://tex.z-dn.net/?f=d%5E2%3D11336)
![d=\sqrt{11336}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B11336%7D)
![d=106.5](https://tex.z-dn.net/?f=d%3D106.5)
Thus, the length of the diagonal of the court is 106.5 feet.
Answer:
The correct answer is x = 24.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:
m<a = m<b
If we substitute their values, we get the following:
5x - 24 = 3x + 24
To solve this equation, we can first subtract 3x from both sides of the equation.
2x - 24 = 24
Next, we can add 24 to both sides of the equation.
2x = 48
Finally, we can divide both sides of the equation by 2.
x = 24
Therefore, the answer is x = 24.
Hope this helps!
Answer:
32
(this is just an approximation due to the left triangle)
Answer:
x = 21.52
Step-by-step explanation:
Given:
hypotenuse (That has to be found out)
Side adjacent to the given angle
and an angle,
Hence we can say that Cos ratio would be used;
Cos(28) = 19 / x
x = 19 / Cos(28)
x = 21.52
Hope this helps!