The value of the x is 20 if the quadrilateral ABCD is a rectangle and AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.
<h3>What is the area of the rectangle?</h3>
It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know that the diagonal of the rectangle bisect each other.
AE = CE
36 = 2x - 4
2x = 40
x = 20
Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.
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Revenue, R = 130x
Profit, P = Revenue – Cost
P = R – C
P = 130x – 2950 + 6x + 0.1x^2
At P = 0
0 = -2950 + 136x +0.1x^2
X = 21.355, -1381.355
Therefore, manufacture greater than 21.355 items to make
profit.
After 1.4 seconds, t = 1.4.
h(t) = 150 - 9(1.4)
Multiply 9 by 1.4 to get 12.6.
h(t) = 150 - 12.6
Subtract 12.6 from 150 to get 137.4.
h(t) = 137.4.
The height of the ball would be 137.4 after 1.4 seconds.
Hope this helps!
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
