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ollegr [7]
3 years ago
15

When 1/8 cup of popcorn kernels are popped, they create 4 cups of popped corn. How much popcorn would 1 cup of kernels produce

Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:32

Step-by-step explanation:

1/8 of a cup x 8 = 1 cup Kernels

4 cups x 8 = 32 cups of popcorn

1 cup of kernels = 32 cups of popcorn

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Determine the area of the composite figure to the nearest whole number
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Check the picture below.

so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.

\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}

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svetlana [45]
Hello,

sec(x)= \dfrac{1}{cos(x)} \\

cosec(x)= \dfrac{1}{sin(x)} \\

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= \dfrac{sin^2(x)+cos^2(x)}{sin^2x*cos^2x} \\

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==============================================================
2+tg^2(x)+cotg^2(x)=2+ \dfrac{sin^2x}{cos^2x} + \dfrac{cos^2x}{sin^2x} \\

=2+ \dfrac{sin^4x+cos^4x}{sin^2x*cos^2x} \\

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= \dfrac{(sin^2x+cos^2x)^2}{sin^2x*cos^2x}} \\

= \dfrac{1}{sin^2x*cos^2x}} 

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A

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