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Serga [27]
2 years ago
15

Part II: Find the sine, cosine, and tangent ratios of <y ​

Mathematics
1 answer:
Lorico [155]2 years ago
6 0

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

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A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.
avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

z =  \frac{x -  \mu}{ \sigma}

This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

P(135  \: <  \: X  \: <  \: 175) = P(  - 0.61\: <  \:  z \:  <  1.82 )

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

P(135  \: <  \: X  \: <  \: 175) =0.69

The correct choice is C.

7 0
3 years ago
50 please help on these questions!
saul85 [17]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Which inequality is a true statement?
lubasha [3.4K]

9514 1404 393

Answer:

  • -3 ≤ -1
  • -3 < -1

Step-by-step explanation:

Negative three is less than (<) negative one, so any statement saying otherwise is incorrect. Correct choices are ...

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7 0
2 years ago
Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3
xxMikexx [17]

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

\frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }

=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

=  \frac{ {( \sqrt{5} +  \sqrt{3} ) }^{2} }{( \sqrt{5} -  \sqrt{3} )( \sqrt{5}  +  \sqrt{3})  }

=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

=  \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}

=  \frac{8 + 2 \sqrt{15} }{2}

= 4 +  \sqrt{15}

3 0
2 years ago
What is the greatest number of planes determined by four collinear points
Sidana [21]
The greatest number of planes determined by four collinear points is ∞ , infinity
5 0
2 years ago
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