We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>Let us convert proportion into fractions.
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.
Here, we are given that our sphere has a radius of 4 units.
So plugging into the formula, we have .
Start by simplifying the exponent.
(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.
So we have .
Next, we multiply (4/3)(64) which can
be thought of as (4/3)(64/1)
So multiplying across the numerators and across the denominators,
we have .
Answer:
The distance between the astronomers and the moon was meters.
Step-by-step explanation:
We have that the speed is the distance divided by the time, so:
In this problem, we have that:
The reflected laser beam was observed by the astronomers 2.52 s after the laser pulse was sent. This means that .
If the speed of light is 3.00 times 10^8 m/s, what was the distance between the astronomers and the moon?
We have that m/s.
We have to find d. So:
The distance between the astronomers and the moon was meters.