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soldi70 [24.7K]
4 years ago
11

A manatee surfaced for air 3 times in 120 seconds.how many seconds went by before the manatee surfaced the first time if it held

its breath for the same rate?
Mathematics
1 answer:
Juliette [100K]4 years ago
7 0

Answer:

40 seconds

Step-by-step explanation:

The ratio would be 3:120, indicating the amount of times it went up for air in 120 seconds. In order to find the answer, we'll find the unit rate. 120 divided by 3 is evenly 40. That means, the unit rate is 1:40. It also means that 40 seconds went by before the manatee surfaced the first time (if it held its breath for the same rate).

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Area of triangle is 9.88 units^2

Step-by-step explanation:

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Given E(5,1), F(0,4), D(0,8)

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Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}

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Length of side EF = b = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side EF = b = =\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8

Length of side FD = c = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side FD = c = =\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4

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s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

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We can double check to make sure we got the right answer.

123.6 + 56.4 = 180
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