Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
On this exercise is asked to find the scale factor by which the triangle ABC was
dilated to produce the triangle A'B'C'.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.
Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)
Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)
As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.
Answer:
the probability that the average diameter of those sand dollars is more than 4.73 centimeters is 0.5910
Step-by-step explanation:
Given information:
mean, x = 5
standard deviation, σ = 0.9
number of sample, n = 16
now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.
P(x>4.73) = P (z > (4.73 - x) / (σ 
)
= P (z > (4.73 - 4) / (0.9 
)
= P (z > 0.203)
= 0.5910
X+y=425. This is as simple it can be, unless theres more information. x is the distance traveled on the first day and y is the distance traveled on the second day.
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
<u>1,609 meter </u> x <u> 1 mile </u> = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x <u> 1,760 yards </u> = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
8mm to 2cm is the same as 8mm to 20mm
8 : 20 simplifies to 2 : 5
3.25cm ÷ 5 = 0.65cm
0.65 x 2 = 1.3cm
Your answer is 1.3cm
