Answer:10 m
Step-by-step explanation:
Given
Scaling ratio 1:1000
i.e. one unit in map is equal to 1000 unit in actual distance
therefore if the distance between two points is 1 cm in map then
it is 1000 cm in reality
Answer: If the original equation is y = 3x -4, the slope is 3.
Any equation of a line parallel to the line <u>y = 3x -4</u> will have a slope of 3.
Step-by-step explanation:
In slope-intercept form, y =mx + b the coefficient of x, m is the slope.
Here 3 is that value.
It is very unusual to have two equal signs in a question about slope.
I am not sure what to do with the <u><em>=8y + 1</em></u>
Is this supposed to be another equation in the system, missing a term?
Hello Leyla! Could you provide details about the plumbing services? I’d be happy to help you in the comments.
The formula for the volume of a cylinder is V=πr²h. Substituting the information we have, we get 1470=(3.14)(6²)<span>h
</span>1470=113.04h
Divide both sides by 113.04:
1470/113.04 = 113.04h/113.04
13 ≈ h
The height of the cylinder is 13 inches. We know that the height of the cone is 1/2 the height of the cylinder; 1/2(13) = 6.5 inches. The formula for the volume of a cone is:
V=1/3πr²h
The cone and the cylinder have the same radius, and we now know that the height of the cone is 6.5. Substituting this information in we have:
V=1/3(3.14)(6²)(6.5) = 244.92 in³
The total volume of the cake would be the volume of the cylinder added to the volume of the cone:
1470+244.92 = 1714.92 in³.
The formula for the volume of a sphere, for the ball cake, is
<em /><em>V</em>=4/3πr³. Using the radius of 3 we have:
<span><em>V</em>=4/3(3.14)(3</span>³)=113.04 for the volume of the circus ball cake.
The formula for the area of the cone-shaped hat cake is <em>V</em>=1/3π<em>r</em>²<em>h</em>. We want it to have the same volume as the circus ball cake, and we know the radius is still 3:
<em />113.04=1/3(3.14)(3²)<em>h</em>
This simplifies to
113.04=9.42<em>h</em>
Divide both sides by 9.42:
113.04/9.42 = 9.42<em>h</em>/9.42
The hat cake would have to have a height of 12 inches to have the same volume.
The volume of the cone will be given by:
Volume=1/3πr^2h
therefore the volume of our cone will be:
π=3.14
h=87
r=21/2
Volume=1/3*3.14*(21/2)^2*87
=10,039.365 cm^2
