Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
C is the answer because 7+8= 15 and 7x8= 55
Answer:
Wyzant
Question
Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer · 1 vote
Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour
More
Socratic
Question
Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer · 0 votes
The speed of plane in still air is 1030 km/hr and wind
Step-by-step explanation:
Answer:
Graph B
Step-by-step explanation:
The equation for direct variation is y=kx, with k being the slope. As you can see from the equation, there is no y-intercept. In graph A, you would add 8; therefore, it does not meet the requirements for direct variation.
Answer and Step-by-step explanation:
A Diophantine equation is simply an equation that relates whole numbers.
There are various types of Diophantine equations, but probably the most basic is the linear version: ax + by = c.
Different methods also abound for solving these types of equations:
- Coordinate geometry
- Modular arithmetic
- Induction
Hope this helps!
