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Cerrena [4.2K]
3 years ago
10

What Percent Of the Whole is shaded?

Mathematics
2 answers:
Nataliya [291]3 years ago
7 0

Answer:

70%

Step-by-step explanation:

there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%

- Gage Millar, Algebra 2 tutor

Oduvanchick [21]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

I would say 70%

It is split up into 10 parts, 7 are shaded,

7 to 10 would be as 70% is to 100%

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1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
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Step-by-step explanation:

1.

\tan \beta  =  \frac{1}{ \cot \beta }  =  -  \frac{3}{2 \sqrt{10} }  =  -  \frac{3 \sqrt{10} }{20}

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Therefore,

\sec \beta  = ( \frac{7}{3} )( -  \frac{3 \sqrt{10} }{20} ) =  -  \frac{7 \sqrt{10} }{20}

2.

\csc y =  \frac{1}{ \sin y}  =  -  \frac{ \sqrt{6} }{2}

=  >  \sin y =  -  \frac{ \sqrt{6} }{3}

Use the identity

\cos y =   \sqrt{1 -  \sin ^{2} y}    \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \\ =  \sqrt{1 -  {( -  \frac{ \sqrt{6} }{3}) }^{2} }  =  -  \frac{ \sqrt{3} }{3}

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

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Solving for tan x:

\tan x =  \frac{ \sin x}{ \cos x}  =  (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) =  \frac{ \sqrt{66} }{5}

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