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Marat540 [252]
3 years ago
9

Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is 1/

6. Find the perimeter of the other polygon
Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

20 yards

Step-by-step explanation:

Given that:

Two Given polygons are similar :

Ratio of corresponding sides =. 1/6

Perimeter of larger polygon = 120 yards

Perimeter of smaller = p

Since they are similar, and yhe ratio of their sides Given, we use the relation :

(Smaller perimeter / larger perimeter) = (smaller side / larger side)

(p / 120) = (1 /6)

Cross multiply :

6p = 120

p = 120/6

p = 20 yards

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At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




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