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Studentka2010 [4]
3 years ago
15

If sin150=1/2 then find sin75

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Sin75° = Sin(30° + 45°)

= Sin30°.Cos45° + Sin45°.Cos30°

= 1/2 . √2/2 + √2/2.√3/2

= √2/2 ( 1/2 + √3/2 )

= √2/2 ((1+√3 ) /2 )

= (√2 + √6 )/ 4

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Lostsunrise [7]
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5 0
2 years ago
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What's 5x - 4x to the second power + 3 in standees form?
Pani-rosa [81]
(5x - 4x)² + 3

(5x - 4x)(5x - 4x) + 3

Simplify.

25x² - 20x² - 20x² + 16x² + 3

Add like terms.

(25x² - 20x²) + (-20x² + 16x²) + 3

Simplify.

5x² - 4x² + 3

Simplify once more.

x² + 3

~Hope I helped!~
5 0
3 years ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
kirza4 [7]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

7 0
3 years ago
In a library where the ratio of men to women is 1 to 1, _____ of the total members are men
Oliga [24]
Half of the total members are men. For every on women there is one man.

So if there was a total of 100 people in the library and the ratio of man to women was 1:1 there would be 50 women and 50 men. 
6 0
3 years ago
Write a unit rate for the situation. $1.98 for 6 bananas
USPshnik [31]
A unit rate is when you find a rate when one variable (or value) is equal to one.

Let's find the unit rate for the price of the bananas. 

1.98/6= 0.33

It is 33 cents for one banana. That is the unit rate. 

I hope this helps!
~kaikers
4 0
3 years ago
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