Tiya earns $7 an hour mowing her neighbor's lawn.
1 answer:
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Answer: The length of the third straw is 29 centimeters.
Step-by-step explanation: Given that Anja is creating a triangle using three straws and the lengths of two shorter straws are 20 cm and 21 cm.
We are to find the length of the third straw in centimeters so that Anja will create a right triangle.
The two shorter straws will make the legs of the right-angled triangle because they are shorter.
Since the third straw will be the largest, so it will make the HYPOTENUSE of the triangle.
In a right-angled triangle, we have
Hypotenuse² = length of one leg² + length of the other leg².
Therefore, we get
Thus, the length of the third straw is 29 centimeters.
Answer: The maximum value: P = 6x + 7y - 2 is 84 at (5,8).
Step-by-step explanation:
Here, Object of constraint P(max) = 6x + 7y - 2.
And, the system of constraints,
x≤5, y≤(1/5)x + 7, x≥0, y≥0
Since, x= 5 is a line parallel to y-axis.
And at origin it is giving 0≤5 ( false)
Thus the area of inequality x≤5 does not contain the origin.
Now, x -intercept and y-intercept of line y=(1/5)x + 7 are (-35,0) and (0, 7) respectively.
Also, at (0, 0), 0 ≤(1/5)×0 + 7 (true)
Therefore, inequality y≤(1/5)x + 7 will contain the origin.
Now, x≥0, y≥0 shows the first quadrant.
Thus, we get feasible region ABCD.
In which at A≡(0,7), P = 49.
At B≡(5,8), P= 84,
At C≡(5,0), P= 30,
And, D≡(0,0), P= 0
Therefore at B, P is maximum.
