Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
1 hour=60 minutes
1 day=24 hours=1440 minutes
1 week=7 days=10080 minutes
F^-1(x)=(x-4)/12
I hope that this helps you!
Linear
Linear
NON-Linear
Linear
HOPE THIS HELP U :)