Answer:
x is approximately 69.39 degrees.
Step-by-step explanation:
To find x in this triangle, we can use the sin rule:

The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.
So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.
This would give us the following equation:

Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.

From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:

Now the final step is to use inverse sin to cancel the sin so we just have x:

x is approximately 69.39 degrees.
Hope this helped!
The answer for this problem is two remainder seven
Answer:
f(x)= $70 - $1.5*x
Step-by-step explanation:
You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:
$5 + $15= $20
Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:
$1.5*x
So the money spent after x rides can be expressed as:
$20 + $1.5*x
Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:
$90 - ($20 + $1.5*x)
$90 -$20 -$1.5*x
$70 - $1.5*x
By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:
<u><em>f(x)= $70 - $1.5*x</em></u>
Answer: 850 fr per hour
Step-by-step explanation:
2550/3=850