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Stells [14]
3 years ago
9

Identify the correct trigonometry formula to use to solve for the given angle.

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

So we want to figure out the measure of angle ?.

We already know that sides <em>opposite</em> and <em>adjacent</em> to the angle.

Therefore, we need to use tangent. Recall that tangent:

\tan(?)=opp/adj

Substitute 34 for the opposite and 48 for the adjacent:

\tan(?)=34/48

Divide (approximately):

\tan(?)=0.71

Take the inverse tangent of both sides:

?=\tan^{-1}(0.71)

So, our answer is D

And we're done!

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12?

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The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing c
alex41 [277]

Answer:

n = 61 costumers

Step-by-step explanation:

For calculating the number of costumers he should sample we use the next equation:

n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }

                          Where E is the error that we are prepared to accept, in this  case E = 0.15

How we don't know the value of p, we can estimate it like p = 0.5

∝ = 1-0.98 = 0.02

1-∝/2 = 0.99

z_{0.99} = 2.33

n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }

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4 0
3 years ago
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Find the length of side x. Show steps please!
yawa3891 [41]

Answer:

\large{x=7.4438\ cm\approx7.4\ cm}

Step-by-step explanation:

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have:

\alpha=28^o,\ opposite=x,\ adjacent=14\ cm

\tan28^o\approx0.5317

Substitute:

\dfrac{x}{14}=0.5317                <em>multiply both sides by 14</em>

x=7.4438\ cm

8 0
3 years ago
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