hi <3
i think this makes more sense if you draw a diagram
so basically, as we are working out the horizontal component, decide if you need to use sin or cos.
as the side is next to the angle, you would use cosine.
thus, your answer would be 27cos49
(the vertical component would be 27sin49)
hope this helps :)
Answer:103
Step-by-step explanation: i tried my best i am sorry if it is wrong
1 and 2
1 + 2 = 3 (sum)
1 x 2 = 2 (product)
Question:
A charter bus travels 225 miles in 4.5 hours. Assume the distance travelled is directly proportional to the time spent.
Write a direct variation equation.
Answer:
![y = 50x](https://tex.z-dn.net/?f=y%20%3D%2050x)
Step-by-step explanation:
Let:
y = distance
x = time
So:
and ![x = 4.5](https://tex.z-dn.net/?f=x%20%3D%204.5)
Since, they are directly proportional: The following relationship exists
![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
Where
k = constant of variation
Substitute values for y and x
![225 = 4.5 * k](https://tex.z-dn.net/?f=225%20%3D%204.5%20%2A%20k)
Make x the subject
![k = \frac{225}{4.5}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B225%7D%7B4.5%7D)
![k = 50](https://tex.z-dn.net/?f=k%20%3D%2050)
Substitute 50 for k in ![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
![y = 50x](https://tex.z-dn.net/?f=y%20%3D%2050x)
To answer this question let us first define what a rational and irrational number is. A rational number is basically a number whose decimals are terminating (ie have an end) or repeating (continuously repeats the same pattern.
An example of this from your question would be
5.3 - terminating rational number
5.333333333333..... - repeating rational number
Irrational numbers are basically numbers whose decimals are non terminating and non repeating.
An example would be the square root of 29. When plugged in a calculator this would result in <span>5.3851648071.....
</span>This number goes on and on with no set pattern.