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kirill115 [55]
3 years ago
6

The triangle below is equilateral. Find the length of side x in simplest radical form

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

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Answer:

The required inequality is: 6\leq x

Step-by-step explanation:

Consider the provided information.

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.

Let the number of hours Gurnaz work is represented by x.

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He must work fewer than 16 hours this week. That means the value of x should be less than 16.

x

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3 years ago
Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run
muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

Drops = 140ft

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Coaster 2:

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For coaster 1:

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m = \frac{105}{30}

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<em></em>m = m=>3.5 = 3.5<em></em>

<em>By comparison, they have the same slope</em>

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The answer is vertical.
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