Answer:
The scale factor used to go from P to Q is 1/4
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x -----> area of polygon Q
y -----> area of polygon P
we have
Find the area of polygon Q
Divide the the area of polygon Q in two triangles and three squares
The area of the polygon Q is equal to the area of two triangles plus the area of three squares
see the attached figure N 2
Find the area of triangle 1
Find the area of three squares (A2,A3 and A4)
Find the area of triangle 5
The area of polygon Q is
Find the scale factor
we have
substitute and solve for z
square root both sides
therefore
The scale factor used to go from P to Q is 1/4
Answer: 30.6
Step-by-step explanation: she worked 30.6 hours be cause if you think 36 of 15% it is 30.6 hours she worked
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
Answer:
$20
Step-by-step explanation:
Total cost of items bought
= $31.21 +$12.75 +$13.25
= $57.21
Remaining cost after paying $40
= $57.21 -$40
= $17.21
Amount borrowed
= change +$17.21
= $2.79 +$17.21
= $20
Graph images undergo transformations, one of the types of transformations are rotations.
rotation is done when each point of the image rotates 90° around a point in the counterclockwise manner.
when rotation is done, (x,y) -> (-y,x)
therefore when taking points from image to original then the reverse is done ;
(-y,x) --> (x,y)
the coordinates of image point q' is (-3,4)
before rotation then the coordinates are (4,3)
answer is (4,3)
