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brilliants [131]
3 years ago
6

Evaluate the expression when x = 2

Mathematics
1 answer:
Andrews [41]3 years ago
3 0
The answer is 1 when x=2
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Cot^2 135-sin210+5cos^2 225
TiliK225 [7]
\cot135^o=\cot(90^o+45^o)=-\tg45^o=-1\\\\\sin210^o=\sin(180^o+30^o)=-\sin30^o=-\dfrac{1}{2}\\\\\cos225^o=\cos(180^o+45^o)=-\cos45^o=-\dfrac{\sqrt2}{2}

\cot^2135^o-\sin210^o+5\cos^2225^o=(-1)^2-\left(-\dfrac{1}{2}\right)+5\cdot\left(-\dfrac{\sqrt2}{2}\right)^2\\\\=1+\dfrac{1}{2}+5\cdot\dfrac{1}{2}=1\dfrac{1}{2}+2\dfrac{1}{2}=4

Answer: 4.
3 0
4 years ago
Helppp meeeeeee asappppppp
Juliette [100K]

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

5 0
3 years ago
Whats 811 divide by 25
NARA [144]

Answer:

the answer would be 32.44

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
Olenka [21]

Answer:

a

 The  90% confidence interval that  estimate the true proportion of students who receive financial aid is

     0.533  <  p <  0.64

b

   n = 1789

Step-by-step explanation:

Considering question a

From the question we are told that

      The sample size is  n = 200

      The number of student that receives financial aid is k = 118

Generally the sample proportion is  

      \^ p = \frac{k}{n}

=>   \^ p = \frac{118}{200}

=>   \^ p = 0.59

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of \frac{\alpha }{2}  is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

 =>E =  1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }

=>  E = 0.057

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

  =>  0.533  <  p <  0.64  

Considering question b

From the question we are told that

    The margin of error  is  E = 0.03

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } = 2.58

Generally the sample size is mathematically represented as      

        [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>      n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )

=>      n = 1789

8 0
3 years ago
John bought a computer scanner and supplies for $215.70, which will
lutik1710 [3]

Answer:

John must scan at least 863 images before he pays less on his own rather than in the store

Please vote for Brainliest and I hope this helps!

8 0
2 years ago
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