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Maksim231197 [3]

3 years ago

11

The antlantic ocean region contains approximately 2 times 10^16 gallons of water. Lake Ontario has approximately 8,000,000,000,0

00 gallons of water. How many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water

1 answer:

AnnyKZ [126]3 years ago

4 0

2.5x10^3 I think. Exponents are subtracted. The number you're multipliying by has to be more than one.

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Romashka [77]

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With right triangles you can use the equation a^2 + b^2 = c^2. Since both a and b are 7, that makes it 7^2 + 7^2 = c^2 and from there 49 + 49 = c^2 and then 98 = c^2. Then go find C, you find the square root of 98 which is 9.899494937 or rounded as 9.9

Keep in mind a^2 + b^2 = c^2 only works for right triangles, it won’t work for any other ones.

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$cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}$

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