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tangare [24]
3 years ago
15

While he hikes in the Gold Country of northern California, Sid dreams about the adventurers that walked the same trails years ag

o. He suddenly kicks a small bright yellowish nugget. Could it be gold? Sid quickly makes a balance scale using his walking stick and finds that the nugget has the same mass as the uneaten half of his 330 g nutrition bar. He then drops the stone into his water bottle, which has a 2.5 cm radius, and notes that the water level goes up 0.9 cm. Has Sid struck gold? Explain your reasoning. (Refer to the density chart in
Mathematics
1 answer:
olga2289 [7]3 years ago
5 0
I did. Undestand the probelm
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The area of a circular trampoline is 112.07 square feet. What is the radius
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lisov135 [29]

Step-by-step explanation:

(You might need to draw the triangle on a piece of paper to follow)

First I tried to find the height in terms of<em> a</em>.  

If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.  

Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:

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Assuming that h = height

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This equation is simplified:

a²/4 + h² = a²

a² + 4h = 4a²

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h² = 3a²/4

Now, remeber that everything is squared so it should be

h = a√3/2

Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>

a√3/2 × a ÷ 2

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