Answer:
72
Step-by-step explanation:
Corresponding angles on parallel lines always have the same measure.
Answer:
The expression for the average number of tickets sold per school child is:
Step-by-step explanation:
The average number of tickets sold per school child is the weighted mean calculus between the number of tickets sold by these classes and the number of children in each classes.
This is the multiplication between the number of tickets sold by these classes and the number of children in each classes divided by the total weight(in this exercise, the total weight is the total number of school child).
So, the expression for the average number of tickets sold per school child is:
The function of the trapezoid area is:
A(x)=(B+b)*h/2
Where B and b are the bases and h is the height.
With the given data: h=10 B and b =7 and x (it may vary which one is bigger)
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So that function becomes:
A(x)=(7+x)*10/2
A(x)=(7+x)*5
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So if you want the inverse function, you have to operate to find x:
A(x)/5=7+x
A(x)/5-7=x
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So the new function is:
x(A)=A/5-7
Answer:
1.59 m/s²
Step-by-step explanation:
Acceleration = change in Velocity over time. Mathematically it is represented as Δv/Δt
Given values in the question:
- Final velocity 203.0 km/h which is equal to (203/3.6)m/s = 56.39 m/s
- distance 2000 m
- Initial velocity is 0 m/s
<em>To use the equation for acceleration time is needed.</em>
<em>velocity= distance/time</em>
(203/3.6) = 2000/time <em>mltiplying both sides by time</em>
(203/3.6) x time = 2000 <em>making time subject of the formula</em>
time = 2000/(203/3.6)
time = 35.47 seconds
Substituting into the acceleration equation
acceleration =Δv/Δt
=(56.39- 0)/35.47
= 56.39/35.47
=1.59 m/s²
