Answer:
Step-by-step explanation:
The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. This means that every 1 inch on the blue print represents 3 yards on the actual building. The scale is the ratio of the length of a side on the blueprint to the length of a corresponding side on the actual. Therefore, the scale for the blueprint is 3: 1
Therefore, the scale factor is 3
Answer:
Step-by-step explanation:
<u>Slope intercept form:</u>
<u>Use two points from the graph:</u>
<u>The first point is the y-intercept: </u>
<u>Find the slope using the slope formula:</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-9 - (-8))/3 = -1/3
<u>The equation is:</u>
The containers must be spheres of radius = 6.2cm
<h3>
How to minimize the surface area for the containers?</h3>
We know that the shape that minimizes the area for a fixed volume is the sphere.
Here, we want to get spheres of a volume of 1 liter. Where:
1 L = 1000 cm³
And remember that the volume of a sphere of radius R is:
Then we must solve:
![V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{ (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%2A3.14%2AR%5E3%20%3D%201000cm%5E3%5C%5C%5C%5CR%20%3D%5Csqrt%5B3%5D%7B%20%20%281000cm%5E3%2A%5Cfrac%7B3%7D%7B4%2A3.14%7D%20%29%7D%20%3D%206.2cm)
The containers must be spheres of radius = 6.2cm
If you want to learn more about volume:
brainly.com/question/1972490
#SPJ1
The answer is 4+5+6=15.Hope that helps. :)
