Answer:
the answer to your question is C
Answer:
16 feet
Step-by-step explanation:
Area of a Triangle: (Base*Height)/2.
Therefore, Base:(2A)/Height =(2*24)/2=16
Answer:
- vertical scaling by a factor of 1/3 (compression)
- reflection over the y-axis
- horizontal scaling by a factor of 3 (expansion)
- translation left 1 unit
- translation up 3 units
Step-by-step explanation:
These are the transformations of interest:
g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k
g(x) = f(x) +k . . . . vertical translation by k units (upward)
g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis
g(x) = f(x-k) . . . . . horizontal translation to the right by k units
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Here, we have ...
g(x) = 1/3f(-1/3(x+1)) +3
The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:
- vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
- reflection over the y-axis . . . 1/3f(-x)
- horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
- translation left 1 unit . . . 1/3f(-1/3(x+1))
- translation up 3 units . . . 1/3f(-1/3(x+1)) +3
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<em>Additional comment</em>
The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.
The horizontal transformations could also be described as ...
- translation right 1/3 unit . . . f(x -1/3)
- reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)
The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.
To get the answer to this question you would have to multiply these numbers.
The normal price appears to be 65.95 for 180.5 feet.
First we could divide 430.25 by 180.5
This divides out to become 2.39027778.
We would then multiply This by our normal price for 180.5 feet, which is 65.95.
This gives us 157.63882.
We would next need to take the 10 percent off. The easiest way to do this is to multiply our price by .90
This would give us 141.484938.
Answer:
<em>Answer: A. 0.2</em>
Step-by-step explanation:
<u>Probability</u>
The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.
The total number of choir sections is: 8+10+10+12=40
To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

Calculating:
P = 0.2
Answer: A. 0.2