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2 years ago

If the sine of angle a is 15/17 what is the cosine of angle a

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

5 0

Answer:

sin A = opp/hyp = 15/17

Right triangle

Therefor

a² + b² = c²

adj² + opp² = hyp²

adj² + 15² = 17²

adj² = 17² - 15²

adj² = 289 - 225

adj² = 64

adj = 8

Cos = adj/hyp

cos A = 8/17 <–––––

Step-by-step explanation:

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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

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We know that 1 feet = 12 inches

Using this conversion, we get

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In a right angled triangle,

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3 years ago

I'm stuck what is 15% of 32

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3 years ago

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

Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

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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3 years ago

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Darya [45]

Answer:

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