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Yuki888 [10]
2 years ago
15

A large pizza at a restaurant has the dimensions shown. Find the area of the pizza. Use4 for T. 14 in. 22 Why does it make sense

to use as the estimate for T? Explain your reasoning. PLEASE HELP

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
5 0

You need to figure out the total area of the pizza (a circle) and then divide it by the area of each slice to get the number of slices of pizza. By the way, area should be in square units, so I assume you mean 14.125 in2.

So, Area of a circle = πr2

Diameter = 2 x the radius (r). So, if the diameter = 14 in, 14 in = 2 r, and dividing both side by 2, r = 7 in.

Area of a circle = Π (7 in)2 = 153.938 in2

Now, divide this total area of the pizza, 153.938 in2, by the area of one slice, 14.125 in2.

153.938 in2/14.125 in2 = 10.898 slices or about 11 slices of pizza
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Answer:

  (x, y, z) = (3, -2, 4)

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The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

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Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]

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If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

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  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

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  z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

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