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malfutka [58]
3 years ago
11

You are making a flower arrangement. There will be 32 flowers in the arrangement. Roses cost $2 each and carnations are $1 each.

You have $50 to spend on the arrangement. How many of each flower can you buy?
Mathematics
2 answers:
Debora [2.8K]3 years ago
4 0
I think there are 25 roses and 7 carnations.

morpeh [17]3 years ago
3 0
You can buy 18 roses and 14 carnations. (The totals add up, 32 flowers total and $50 spent)
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The most appropriate choice for similarity of triangles will be given by -

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What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

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The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

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