A scale factor of 0.97 indicates an enlargement.
Select one:
True
False
False
The length of a photograph is 5 inches. The photograph was enlarged. The new length of the photograph is 7 inches. Fill in the formula for the scale factor (k) below, then complete the calculation to find the scale factor.
Background image for dragging markers onto blank blank blank blank blank
New Length50.717Original Length1.4
The formula for the scale factor (k) is:
k = New Length / Original Length
Given that the new length of the photograph is 7 inches and the original length is 5 inches, we can substitute these values into the formula:
k = 7 / 5
And the calculation is:
k = 1.4
Therefore, the scale factor is 1.4.
The radius of a circle was 6.8 cm. It was changed by a factor of 5:2.
Is this change and enlargement or a reduction? Answer
*enter e for enlargement, enter r for reduction
A proportion can be used to solve for the new radius. Fill in the value or variable that should be in the place of a and b.
L e t space x space equals space t h e space n e w space r a d i u s
5 over 2 equals a over b
a = Answer
b = Answer
The change from a radius of 6.8 cm to the new radius can be determined using the proportion 5/2 = a/b. To find the values of 'a' and 'b', we can substitute the given values:
a = 5
b = 2
Therefore, the proportion can be written as:
5/2 = 5/b
To solve for 'b', we can cross-multiply:
5b = 10
Dividing both sides by 5:
b = 2
So, 'a' is equal to 5 and 'b' is equal to 2.
The side length of an octagon was changed to 9.3 cm. It was changed by a factor of 7:5.
Is this change and enlargement or a reduction? Answer
*enter e for enlargement, enter r for reduction
A proportion can be used to solve for the original side length. Fill in the value or variable that should be in the place of a and b.
L e t space x space equals space t h e space o r i g i n a l space s i d e space l e n g t h
7 over 5 equals a over b
a = Answer
b = Answer
The change from an original side length to a side length of 9.3 cm can be determined using the proportion 7/5 = a/b. To find the values of 'a' and 'b', we can substitute the given values:
a = 7
b = 5
Therefore, the proportion can be written as:
7/5 = a/b
To solve for 'b', we can cross-multiply:
5a = 7(9.3)
Dividing both sides by 5:
a = (7(9.3))/5
Calculating the value of 'a':
a ≈ 13.02
So, 'a' is approximately 13.02 and 'b' is equal to 5.
Complete the table below.
Original Measurement Scale Factor New Measurement Enlargement? Reduction?
28 cm 4:5 blank blank blank
14 cm 1.5 blank blank blank
21 cm 2 over 3 blank blank blank
14 cm 8 over 7
blank blank blank
27 cm 80% blank blank blank
14 cm 16 cm 21 cm 28 cm 21.6 cm no 22.4 cm yes
Original Measurement Scale Factor New Measurement Enlargement? Reduction?
28 cm 4:5 22.4 cm Yes No
14 cm 1.5 21 cm Yes No
21 cm 2/3 14 cm No Yes
14 cm 8/7 16 cm Yes No
27 cm 80% 21.6 cm Yes No
A builder plans to draw a set of house plans using the scale 1:200. On the plans the west side of the house is 12.0 cm long. What is the real length of this house in metres?
Select one:
a.
6 m
b.
2400 m
c.
0.06 cm
d.
24 m