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Mathematics

2 answers:

makvit [3.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

astra-53 [7]2 years ago

4 0

When the food is busting on lunch time.

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If sin(x) = 0.28, what is cos(90° - x)

vlabodo [156]

$\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)
\\\\\\
sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad 
csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)$

therefore, sin(x) = cos(90° - x).

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3 years ago

Write three different fractions that match the shaded part of the drawing.

elena-14-01-66 [18.8K]

8/12 4/8 4/12 is the answer for the shaded part

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3 years ago

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Write an equation in standard form of the hyperbola described.

marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$