You are going to solve this in such a quick, slick way
that you will blink and not believe it. Fasten your seat belt.
Here are the tools you'll need:
-- Volume of a cylinder = (pi) (radius)² (height)
-- Volume of a sphere = (4/3) (pi) (radius)³
Now ... the question says that your cylinder and your sphere
have the same volume. Fine ! So you can immediately write
an equation saying that their volumes are equal.
(pi) (radius)² (height) = (4/3) (pi) (radius)³
Divide each side by pi: (radius)² (height) = (4/3) (radius)³
Divide each side by (radius)² (height) = (4/3) (radius)
Fill in the given height: (6 cm) = (4/3) (radius)
Multiply each side by 3/4 : (6 cm) x (3/4) = radius
I'm pretty sure that you can take over now and find the radius.
The average speed is the ratio between the distance covered, and the time elapsed to cover that distance.
The total distance is the sum of the three distances covered:

Similarly, the total time elapsed is

So, althought you didn't always travelled with the same speed, you globally covered 170km in 1.75 hours. This leads to an average speed of

Answer: -14
Step-by-step explanation: 3-17= -14
17+(-14)=3
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
Answer:
y=2/5x+8/5
Step-by-step explanation:
so say you plot a graph of rain against the hours the gradient would be the rate of change and the information given as your points and the gradient
now to get an equation of a straight line use one of your points eg(1,2) and the gradient or rate of change mine was 0.4