Taylie wishes to advertise her business so she gives packs of 10 red flyers to each restaurant owner and sets of 8 blue flyers t
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★ ∆ ABC is similar to ∆DEF
★ Area of triangle ABC = 64cm²
★ Area of triangle DEF = 121cm²
★ Side EF = 15.4 cm
★ Side BC
Since, ∆ ABC is similar to ∆DEF
[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]
❍ <u>Putting the</u><u> values</u>, [Given by the question]
• Area of triangle ABC = 64cm²
• Area of triangle DEF = 121cm²
• Side EF = 15.4 cm
❍ <u>By solving we get,</u>
<u>Hence, BC = 11.2 cm.</u>
★ Figure in attachment.
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.