This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
$90
50 for rent and equipment, 30 for wood and materials, 10 for delivery
50 + 30 + 10 = $90
6.70, 6.700, 6.7000, 6.70000, and so on.
Answer:
3700hours
154days
Step-by-step explanation:
Speed can be defined as the distance cover per time, it can be expressed as
Speed= distance/ time........eqn(1)
Given:
distance between two planets= 4.07×10^¹²
speed of light = 1.1×10^⁹ kilometres per hour
Time= ??
Then substitute the values into equation (1) we have
Speed= distance/ time
1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time
Cross multiply, we have
Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)
Time= 3700hours.
To convert to day, we know that
60 minute= 1hour
24hour=1day
Time= (3700hour×1day)/24hour
Time= 154days approximately.
Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours
To solve the problem we must know about the Ratio.
<h2>What is Ratio?</h2>
A ratio shows us the number of times a number contains another number.
The length of the living space, in reality, is 21 meters.
Given to us
- The scale is given as 2 centimeters equals 2.5 meters.
To find
- the actual length of the living space if the length of the scale drawing is 16. 8 centimeters
<h3>Scale ratio</h3>
As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as

<h3>Length of the living space</h3>
Using the same scale ratio,


Hence, the length of the living space, in reality, is 21 meters.
Learn more about Ratio:
brainly.com/question/1504221