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gregori [183]
3 years ago
14

a circular marble table top has a diameter of 42 in if the table top cost $280 what is the price per square inch

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

For this case we have that by definition, the area of a circle is given by:

A = \pi * r ^ 2

Where:

r: It is the radius of the circle

We have as data that:

r = \frac {42} {2} = 21 \ in

We found the table area:

A = \pi * (21) ^ 2\\A = \pi * 441\\A = 1384.74 \ in ^ 2

Now, we find the cost per square inch:

\frac {280} {1384.74} = 0.22

Thus, the cost of the table is $0.20 per square inch.

ANswer:

The cost of the table is $0.20 per square inch.

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3 years ago
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<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

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If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

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3 years ago
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