Answer:
x/4-1
Step-by-step explanation:
Answer: 
Step-by-step explanation:
First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.
Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).
In this case, you know that the rectangles given in the picture are similar.
Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.
Then, this is:

Answer:
1008 possible dinner orders
Step-by-step explanation:
There are 3 possible salads, 4 possible entrees, and 9 possible sides.
Each dinner has 1 salad, 1 entree, and 3 sides.
Using combinations,
C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008
Answer:
Angular velocity:
(
)
Linear velocity:
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that
and
, then the linear and angular velocities of the gear are, respectively:

(
)

(
)
The base representation is 200, because it’s the base number
Hope this helps:)