Answer:
Radius = 6.46 meters
Height = 1.46 meters
Step-by-step explanation:
The volume of a cylinder = πr²h
In the above question, we were given
r = (x + 5) meters
h = x meters
Volume = 192 cubic meters
Hence,
192 = π × (x + 5)² × x
192 = π × (x² + 10x + 25) × x
192 = π × (x³ + 10x² + 25x)
Divide both sides by π
192/π = x³ + 10x² + 25x
61.115498147 = x³ + 10x² + 25x
x³ + 10x² + 25x - 61.12
This Quadratic equation is a polynomial
x = 1.46119
From the above:
Radius = (x + 5)meters
Radius = 1.46119 + 5 = 6.46119 meters
Approximately to 2 decimal places = 6.46 meters
Height = x meters
Height = 1.46119 meters
Approximately to 2 decimal places = 1.46 meters
We plot these data where x corresponds to the time and y corresponds to the velocity. Using the calculator, y - intercept is equal to 50. y-intercept is the y-value when x is zero. The car is accelerating. The average rate of change when x =1 to x=3 is (56-52)/(3-1) or 2 miles/hour^2. The car would reach 60 miles/hour when x=5 from the acceleration of 2. Domain is 5.
Answer:
24
Step-by-step explanation:
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
