I believe that’s 16 cups. I could be wrong but probably right lol
Answer:
Step-by-step explanation:
Speed = distance travelled/time
A horse ran 800 m in 40 seconds. This means that the speed is
800/40 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
1200/60 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
480/24 = 20 m/s
Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.
Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.
Let d represent the distance in meters.
Let t represent the time in seconds.
Therefore
d = 20t
Step-by-step explanation:
Let ABC be a right angled triangle where there's a right angle in B . Let the measure of the angle BAC be ∅. So,
![\sin(∅) = \frac{BC}{AC}](https://tex.z-dn.net/?f=%20%5Csin%28%E2%88%85%29%20%20%3D%20%20%5Cfrac%7BBC%7D%7BAC%7D%20)
![= > {\sin}^{2}∅ = \frac{ {BC}^{2} }{ {AC}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%20%7B%5Csin%7D%5E%7B2%7D%E2%88%85%20%3D%20%20%5Cfrac%7B%20%7BBC%7D%5E%7B2%7D%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20)
Also,
![\cos(∅) = \frac{AB}{AC}](https://tex.z-dn.net/?f=%20%5Ccos%28%E2%88%85%29%20%20%3D%20%20%5Cfrac%7BAB%7D%7BAC%7D%20)
![= > { \cos}^{2}∅ = \frac{ {AB}^{2} }{ {AC}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%7B%20%5Ccos%7D%5E%7B2%7D%E2%88%85%20%3D%20%20%5Cfrac%7B%20%7BAB%7D%5E%7B2%7D%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20)
Now adding the values of sin^2∅& cos^2∅,
![{ \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {BC}^{2} }{ {AC}^{2} } + \frac{ {AB}^{2} }{ {AC}^{2} }](https://tex.z-dn.net/?f=%20%7B%20%5Csin%7D%5E%7B2%7D%20%E2%88%85%20%2B%20%20%7B%20%5Ccos%7D%5E%7B2%7D%20%E2%88%85%20%3D%20%20%5Cfrac%7B%20%7BBC%7D%5E%7B2%7D%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20%20%2B%20%20%5Cfrac%7B%20%7BAB%7D%5E%7B2%7D%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20)
![= > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AB}^{2} + {BC}^{2} }{ {AC}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%7B%20%5Csin%7D%5E%7B2%7D%20%E2%88%85%20%2B%20%20%7B%20%5Ccos%7D%5E%7B2%7D%20%E2%88%85%20%3D%20%20%5Cfrac%7B%20%7BAB%7D%5E%7B2%7D%20%2B%20%20%7BBC%7D%5E%7B2%7D%20%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20)
But we know that
by applying Pythagorean Theorem
So ,
![= > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AC}^{2} }{ {AC}^{2} } = 1](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%7B%20%5Csin%7D%5E%7B2%7D%20%E2%88%85%20%2B%20%20%7B%20%5Ccos%7D%5E%7B2%7D%20%E2%88%85%20%3D%20%20%20%5Cfrac%7B%20%7BAC%7D%5E%7B2%7D%20%7D%7B%20%7BAC%7D%5E%7B2%7D%20%7D%20%20%3D%201)
The slope is -2/3. use the slop form y = mx + b