Answer:
a = 6/5
b = 7/8
c = 1/5
Step-by-step explanation:
We want to make two of these equations be in terms of the same variable, so let's solve the first and third in terms of b.
5a-24b=-15 -> -3 + 24b/5 = a
48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c
Now we can replace the a and c in the second equation and solve for b.
10a+45c=21
10(-3+24b/5)+45(7/5 - 48b/35) = 21
-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8
Now we can plug b back into the other two to solve for a and c. I will leave that to you unless you would like the steps there.
Answer:
Answer on Question #47534 – Math – Geometry
How to prove the volume formula of con is 1/3×π×r^2×h;without using
integration?
Solution.
Suppose we take a slice of the pyramid with the cone inside, from some way up
the pyramid. This will look like a square with a circle fitting inside. Radius of the
cone at this point, will be x.
The area of the circle is
The area of the square is × =
The ratio of the circle to the square is
.
The same is true for every slice we take: the area of the circle is
of the area
of the square.
So, the volume of the cone will be
the volume of the pyramid.
The pyramid's volume is
.
So the cone's volume is
∗
=
Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
Answer:
28,953
Step-by-step explanation:
A= pi times r squared = 962= 28952.9
