Answer:
16 rides
Step-by-step explanation:
Option 1 . Admission fee = $10
Each ride = $0.50
Option 2 . Admission fee = $6
Each ride = $0.75
Let no. of rides be x
So, cost of ride according to option 1 = 0.50x
So, total cost after having x rides according to option 1 :
= 10+0.50x ---1
Cost of ride according to option 2 = 0.75x
So, total cost after having x rides according to option 2 :
= 6+0.75x --2
Now to find the beak even point i.e. having the same cost
Equate 1 and 2





Thus for 16 rides , the two options have the same cost .
Hence the break even point is 16 rides
Answer:
61 degrees
Step-by-step explanation:
A right angle equals 90 degrees.
90-29= 61
Answer:
5.20 to the nearest hundredth.
Step-by-step explanation:
The altitude line bisects the base of the triangle to form 2 right angled triangles with hypotenuse = 6 and the base = 3.
So, by the Pythagoras theorem the altitude is calculated as follows:
6^2 = 3^2 + x^2
x^2 = 36 - 9 = 27
x = √27
= 5.20 to the nearest hundredth.
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is
.
We need to find the factor of this trinomial.

The factors of
is (x-2) and (x-8).
So, the factor of
is (x-8). Hence, the correct option is (B).
Answer: f'(x) = - cos^2(sin(x^2))
Step-by-step explanation:
Derivative of:
f(x) = Sin^2(cos(x^2))
f'(x) = cos^2(-sin(x^2)
f'(x) = - cos^2(sin(x^2))