Answer:
Actual volume=3,773,000 in³
Step-by-step explanation:
Scale 1:35
Actual Width=Model Width×Scale factor=(2×35)=70 inches
Actual Length=Model Length×Scale factor=(11×35)=385 inches
Actual Height=Model Height×Scale factor=(4×35)=140 inches
Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³
Actual volume=3,773,000 in³
I'm not sure if this is the easiest way of doing this, but it surely work.
Let the base of the triangle be AB, and let CH be the height. Just for reference, we have
Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system
If we solve the first two equations for y squared, we have
And we can deduce
So that the third equation becomes
(we can't accept the negative root because negative lengths make no sense)
Answer:
113.04
Step-by-step explanation:
Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04
Both the points have a coordinate where y is -1, so the equation is simply -1
y=-1
however if you wanted to really show the working out, it looks like this:
y=mx+c
m=change in y/change in x
m=(-1-1)/(-5+0)=0
subsitute one of the coordinates into y=mx+c
-1=0+c
c=-1
so then y=-1
