Answer:
1) 9.8×10⁻⁹ m/s
2) 50970.3238656 L
Explanation:
1) In 30 days hair grows 1 inch
1 inch = 2.54 cm
1 cm = 0.01 m
2.54 cm = 2.54 × 0.01 m
⇒2.54 cm = 0.0254 m
30 days = 30×24×60×60 = 2592000 seconds
Speed = Distance / Time
Speed at which hair grows is 9.8×10⁻⁹ m/s
2) 1 ft = 0.3048 m
0.3048 m = 30.48 cm
1 ft = 30.48 cm
15 ft = 15×30.48 = 457.2 cm
8 ft = 8×30.48 = 243.84 cm
Volume of water in pool = Length × Width × Depth
⇒Volume of water in pool = 457.2×457.2×243.84
⇒Volume of water in pool = 50970323.8656 cm³
or
Volume of water in pool = 15×15×8 = 1800 ft³
1 ft³ = 30.48³ cm³
1800 ft³ = 30.48³ × 1800 = 50970323.8656 cm³
Converting to liters
1 L = 1000 cm³
0.001 L = 1 cm³
50970323.8656 cm³ = 50970323.8656×0.001 = 50970.3238656 L
Volume of water in pool is 50970.3238656 L
Answer:
I = 16amp
Explanation:
Charge coulomb ( Q ) = It
Where I =current in ampere
t = time = 5 seconds
80 = I × 5
I = 80/5
I = 16amp
The current through the circuit will be I = 16amp
To solve this you must set up what is called a proportion. A proportion is a way of comparing two comparing values where one of the four values is missing. In your problem the missing value is the height of the smallest tree in the model.
To set up a proportion, you need all of your values. The easiest way to do this is to list them:
Highest tree in real life: 40ft
Highest tree in model: 10ft
Smallest tree in real life: 4ft
Smallest tree in model: x
So know you can set your proportion like this:
40/4 = 4/x
(When setting up a proportion, you always want to have the values belong to each other. For example don't put the height of the small tree in the model underneath the value of the highest tree in real life.)
So know to find what the x values equals, we need to cross multiply. And then all that's left after that is to solve for x.
40 times x = 4 times 4
40x = 16
x = 2.5
The smallest tree in the model should equal 2.5 feet.
Hope this helps! :)