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e-lub [12.9K]
3 years ago
15

Find the distance between the points (4, 6) and (2, -6). Round to the nearest tenth.

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

The correct answer is B.12.2

Step-by-step explanation:

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The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $30 for a booth at
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They need to sell 5 pieces to cover their expenditures (have a profit of zero).

<h3>How many cakes will they have sold?</h3>

We know that the costs are:

  • $30 for the booth at the fair.
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And the revenue is:

  • $8 for each piece of cake.

So, the profit (the difference between the revenue and the cost) for selling x pieces is:

p(x) = $8*x - $2*x - $30

p(x) = $6*x - $30

We want to find the value of x such that p(x) = 0, then:

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5 0
2 years ago
A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long
Zanzabum

Answer: It is about 23 feet.


Step-by-step explanation:

1. Let's call <em>x</em> the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}

x≈ 23ft

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