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jeyben [28]
3 years ago
14

Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

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The bag costs 1500, while the umbrella cost 500

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Sorry my lighting is really bad.

Note: my drawing is NOT to scale (because I don't have a protractor)

Ok so an isosceles triangle has 2 congruent sides and 1 other side. That means that the (one) 50° angle is the vertice (edge) of the 2 congruent sides. The vertice of the other sides are 65° because the angles of a triangle add up to 180°.

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Since the two longer sides are congruent, mark them with one line each.

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If another person were given these same instructions, their drawing would look the same.

If you had a protractor, there would be a slight difference but it would still look the same (because a protractor is a tool that is very exact and it is quite accurate).

Also, if you didn't have a protractor, it wouldn't be the same.]

But even if someone else's drawing look different than yours (and mine), but the point would be the same because they know the congruent sides by the markings and they know the angles.

So if another person saw these same instructions and drew the triangle, it would look the same, but it wouldn't be exactly similar.

♡ Hope this helps! ♡

6 0
3 years ago
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