For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by:
You have 2 triangles and 3 rectangles.
Start with a triangle:
area is base side * height / 2 -> 4 * 3 / 2 = 6
The other triangle has the same area: 6
First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21
Now simply add all this together: 6+6+35+28+21 = 96
Answer:
A = 121 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi*r
22 pi = 2 * pi *r
Divide each side by 2 pi
22 pi / (2 pi) = 2 pi r / (2pi)
11 = r
Now find the area
A = pi r^2
A = pi (11)^2
A = 121 pi in^2
Answer:
Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)
Step-by-step explanation:
T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
