Mail, a beaver at a zoo, is 0.90m long. A stuffed animal version of Amik is sold in the gift shop. If the scale factor used to reduce the real Amik to the stuffed animal Amik is 0.15, how long is the stuffed animal Amik?
A.) 13.5cm
B.) 6cm
C.) 13.5m
D.) 6m. **When I did the calculation I got 0.135. I know it would be 13.5 but would it be in cm or m?
Carly drew a scale diagram of Calgary tower. The height of the actual tower is 191m. The height in Carly's diagram is 38.2cm. Determine the scale factor of the diagram
A.) 0.5
B.) 5
C.) 0.02
D.) 0.002
By the way, this assignment is due today. Thanks in advance
To find the length of the stuffed animal Amik, we can use the scale factor to determine the ratio between the real Amik's length and the stuffed animal Amik's length.
The given scale factor is 0.15, which means that the stuffed animal Amik's length is 0.15 times the length of the real Amik.
To find the length of the stuffed animal Amik, we can multiply the scale factor by the length of the real Amik:
0.15 * 0.90m = 0.135m
Since the question asks for the length in centimeters, we need to convert the length from meters to centimeters. There are 100 centimeters in a meter, so we can multiply the length by 100:
0.135m * 100 = 13.5cm
Therefore, the length of the stuffed animal Amik is 13.5cm. The correct answer is A) 13.5cm.
For the second question about Carly's scale diagram of Calgary tower, we need to find the scale factor.
The scale factor is the ratio between the height in Carly's diagram and the actual height of the Calgary tower. To find the scale factor, we can divide the height in the diagram by the actual height of the tower:
Scale factor = Height in diagram / Actual height
Scale factor = 38.2cm / 191m
To make the units consistent, we need to convert one of the measurements to the same unit. Let's convert the actual height of the tower from meters to centimeters. There are 100 centimeters in a meter:
Actual height = 191m * 100 = 19100cm
Now we can calculate the scale factor:
Scale factor = 38.2cm / 19100cm = 0.002
Therefore, the scale factor of Carly's diagram is 0.002. The correct answer is D) 0.002.