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3 years ago

14

On tuesday shanice bought five hats. on wednesday half of all the hats that she had were destroyed. equation for... on thursday

there were only 17 left. how many did she have on monday?

1 answer:

wlad13 [49]3 years ago

8 0

If X is the number of hats . . . reading backwards . . .

Thursday = Wednesday + Tuesday

17 = 1/2 X + 5

Solving:

17 - 5 = 1/2 X

12 = 1/2 X

24 = X

So she had 24 on Monday.

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2 years ago

irina [24]

Answer:

$12\sqrt{3}$ feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is $1:\sqrt{3} :2$

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

$\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12$

Solving for x, we find that

$x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36 \sqrt{3} }{3} = 12\sqrt{3}$

So the length of the original pole would be $12\sqrt{3}$ feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

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