Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
The scale factor that Ivory used to create their scaled copy is;
<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>
- From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals
- Now, from the image, we are told that the area of the scaled copy is 48 square units.
What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.
- Now, if one interval of the graph is x-units, then it means;
length; y-axis = 3x units
width; x-axis = x units
- Area of a rectangle is given by;
Area = Length × width
Thus;
3x * x = 48
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>
Read more at; brainly.com/question/17182684
Besides the obvious one(81*1), the only 2 combinations are 9 and 9, or 27 and 3.
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
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1.)18/27 2.)15:10 3.)6.30 4.)160 5.)400 6.)426 7.)10 cups 8.)102.4 9.)0 1
