Answer: 
Step-by-step explanation:
Given
A group of friends has $310 to spend
Parking costs $9 and ticket cost $35 per person
Suppose there are x friends who go to amusement park
So, the cost of tickets and parking must be less than or equal to $310

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.
Answer:
Therefore 'x' is equal to 65.4°
Step-by-step explanation:
In Right Angle Triangle ABC
∠ B = 90°
AC = Hypotenuse = 12
CB = Adjacent Side = 5
To Find:
∠ C = x
Solution:
In Right Angle Triangle ABC Cosine Identity we have

Substituting the values we get


Therefore 'x' is equal to 65.4°
Answer:
x = 4
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 8 when x = 10
k = yx = 8 × 10 = 80
y =
← equation of variation
When y = 4, then
4 =
( multiply both sides by x )
4x = 80 ( divide both sides by 4 )
x = 20
Answer:
14.5
Step-by-step explanation:
The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2
256 - 44.89 = 211.11
The square root of 211.11 rounded to the first decimal place is 14.5