The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th
e length of the segment between triangle legs.
1 answer:
Answer:
Step-by-step explanation:
It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.
Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then
Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get
Taking the first two equalities,we get
Thus, the length of the segment between triangle legs is
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Answer:
The interval where the product will at least break even is given by x ≥ 10.
In interval notation the interval will be denoted by [10, ∞).
Step-by-step explanation:
i) the cost to produce x units of wire is C = 55x + 450
ii) the Revenue is R = 80x
iii) therefore the product will at least break even when
the cost, C = the Revenue, R.
therefore 55x + 450 = 80x (80 - 35)x = 45x = 450 ∴x = 450 / 45 = 10.
iv) The interval where the product will at least break even is given by x ≥
10.
In interval notation the interval will be denoted by [10, ∞).