Let k be the scale factor relating two similar prisms
and
, such that for corresponding parts of prisms
and
(for heights, in particular) we have
. In our case
.
For surfaces area we have
.
So, the right answer is 4:25 (choice B)
3x - y = 9
y = -2x + 11
3x - (-2x + 11) = 9
3x + 2x - 11 = 9
3x + 2x = 9 + 11
5x = 20
x = 20/5
x = 4
y = -2x + 11
y = -2(4) + 11
y = -8 + 11
y = 3
solution (where the lines intersect) is (4,3)
If you would like to write x = 1/3 * y in general form, you can do this using the following steps:
The general form of the equation is: ax + by + c = 0.
x = 1/3 * y
x - 1/3 * y = 0
The correct result would be x - 1/3 * y = 0.
X=24 ........................
Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
