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Answer:
The perimeter of the triangle is 105 cm.
Step-by-step explanation:
The ratio of sides of a triangle is .
The length of middle side is 35 cm.
Let first side of the tringle is , length of third side is
. middle side is of 35 cm.
So, the ratio of length of sides can be written as,
Compare the ratio to get the value of and
.
Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.
Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,
Therefore, the perimeter of the triangle is 105 cm.
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Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is , then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.