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3 years ago

Suppose a slice of a 10-inch pizza has an area of 15 square inches. What is the angle of this slice?

1 answer:

8 0

Angleslice/360 times area=area of slice

area=pir^2
normally pizzas are given in terms of ther diameter
so 10=diameter
d/2=r, 10/2=5
r=5
area=pi5^2=25pi

angleslize/360 times 25pi=15
do math
times 360 both sides and divide by 25pi both sides
angle=68.7549 degrees or 1.2 radians

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3 years ago

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3 years ago

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Vlad [161]

Answer:

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Step-by-step explanation:

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This is a homogeneous linear equation. So, assume a solution will be proportional to:

$e^{\lambda x} \\\\for\hspace{3}some\hspace{3}constant\hspace{3}\lambda$

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$\frac{d^2}{dx^2} (e^{\lambda x} ) +4e^{\lambda x} =0$

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$\lambda^2+4 =0$

Solving for $\lambda$ :

$\lambda =\pm2i$

These roots give the next solutions:

$y_1(x)=c_1 e^{2ix} \\\\and\\\\y_2(x)=c_2 e^{-2ix}$

Where $c_1$ and $c_2$ are arbitrary constants. Now, the general solution is the sum of the previous solutions:

$y(x)=c_1 e^{2ix} +c_2 e^{-2ix}$

Using Euler's identity:

$e^{\alpha +i\beta} =e^{\alpha} cos(\beta)+ie^{\alpha} sin(\beta)$

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Redefine:

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Finally, the solution is given by:

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3 years ago

Which one makes more sence?

spin [16.1K]

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3 years ago