Yes it is possible for Roshaun to spend more money than Lea because he could have had more money than her to start with making his fraction larger than hers.
Answer: A
im sure
Step-by-step explanation:
Answer:
![\boxed {\boxed {\sf x \approx 1.9}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20x%20%5Capprox%201.9%7D%7D)
Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.
![sin \theta = \frac {opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%20%5Ctheta%20%3D%20%5Cfrac%20%7Bopposite%7D%7Bhypotenuse%7D)
- θ= 54
- opposite= x
- hypotenuse = 2.3
![sin (54)= \frac{ x}{2.3}](https://tex.z-dn.net/?f=sin%20%2854%29%3D%20%5Cfrac%7B%20x%7D%7B2.3%7D)
We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3
![2.3* sin (54)= \frac{x}{2.3}*2.3](https://tex.z-dn.net/?f=2.3%2A%20sin%20%2854%29%3D%20%5Cfrac%7Bx%7D%7B2.3%7D%2A2.3)
![2.3* sin (54)=x](https://tex.z-dn.net/?f=2.3%2A%20sin%20%2854%29%3Dx)
![2.3*0.8090169944=x](https://tex.z-dn.net/?f=2.3%2A0.8090169944%3Dx)
![1.860739087 =x](https://tex.z-dn.net/?f=1.860739087%20%3Dx)
Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.
![1.9 \approx x](https://tex.z-dn.net/?f=1.9%20%5Capprox%20x)
x is approximately <u>1.9</u>
In this case, the unit is points (1,435) and the time is games (25). So, we divide the unit by the rate to get the unit rate of 57.5.
On the flip side, we can treat the game as the unit and the points as the rate to get 0.017 games per point.