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NNADVOKAT [17]
2 years ago
10

A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust t

he arc length

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

The distance is 2.33 π

Step-by-step explanation:

First we have to calculate the perimeter of the circle with the following formula:

r = 14in

c = π * 2r

Now we replace the value of r

c = π * 2 * 14

c = π * 28

c = 28π

Now we have to multiply it by 30/360 which is the fraction that represents the arc over the entire circumference

28π * 30/360 = 2 1/3 π = 2.33 π

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Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
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the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

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check the picture below.

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\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

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