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Bezzdna [24]
3 years ago
10

In each of the following, a variation relationship is given. Find the requested value of the function in each.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

a.y=6

b.-1/8

c.1/2

d.2800

e.-8

f.7.71

Step-by-step explanation:

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Sergio039 [100]

Answer:

144

Step-by-step explanation:

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3 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
4.5 multiplied by -1.7
elena-s [515]

Answer:

-7.65

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please math , help
Furkat [3]

Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

M = \frac{199+204+201+197+195+204+200}{7} = 200

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

7 0
3 years ago
Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
OverLord2011 [107]

Answer

Find out the conversion factor for seconds to minutes and convert  135 seconds to minutes.

To prove

1 minute = 60 second

for seconds to minutes.

1 second = \frac{1}{60}\ minutes

Therefore the conversion factor for seconds to minutes be

= \frac{1}{60}\ minutes

Now convert  135 seconds to minutes.

= \frac{135\times 1}{60}

= 2.25 minutes

Hence proved

4 0
3 years ago
Read 2 more answers
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