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fenix001 [56]
3 years ago
6

A company makes traffic signs.One of their signs can be modeled by an equilateral triangle with a perimeter of 144 inches. The c

ompany makes a similar sign with perimeter that is 1.25 times the one shown. What is the height in inches of the larger sign?
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation:


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How many times does 5.4 go into 60 if it starts at -18?
photoshop1234 [79]

Answer:

14 \frac{4}{9}

Step-by-step explanation:

starting at -18 you must add 5.4 until you reach 60

-18 + 5.4 = -12.6          once (1)

-12.6 + 5.4 = -7.2         twice (2)

-7.2 + 5.4 = -1.8            thrice (3)

-1.8 + 5.4 = 3.6              fourth (4)

3.6 + 5.4 = 9                  fifth (5)

9 + 5.4 = 14.4                 sixth (6)

14.4 + 5.4 = 19.8             seventh (7)

19.8 + 5.4 = 25.2            eighth (8)

25.2 + 5.4 = 30.6            ninth (9)

30.6 + 5.4 = 36                tenth (10)

36 + 5.4 = 41.4                 eleventh (11)

41.4 + 5.4 = 46.8               twelth (12)

46.8 + 5.4 = 52.2               thirteenth (13)

52.2 + 5.4 = 57.6                fourteenth (14)

since 57.6 + 5.4 is over 60, we need to find the difference in how much we need

57.6 - 60 = -2.4

we need 2.4 so subtract by 5.4

5.4 - 2.4 = 3

therefore we should divide

\frac{2.4}{5.4} = 14.444...

which means it goes into 60 (starting at -18) 14.444... repeating times

another way to find the answer is

add 18 + 60

18 + 60 = 78

78/5.4 = 14.444... repeating or 14 \frac{4}{9}

hope this helps:)

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