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Andreas93 [3]
3 years ago
7

If sin x equal to a/b what is sin(90-x)​

Mathematics
2 answers:
kupik [55]3 years ago
8 0

Answer:

\sin(x)  =  \frac{a}{b}  \\  \sin(90 - x)  =  \sin(90)  \cos(x)  -  \cos(90)  \sin(x)  \\  \sin(90 - x)  =  \cos(x)  \\  { \sin(x) }^{2}  +  { \cos(x) }^{2}  = 1 \\  { \cos(x) }^{2}  =  1 - {( \frac{a}{b})}^{2}  =  \frac{ {b}^{2}  - {a}^{2}  }{ {b}^{2} }  \\  \cos(x)  =   \frac{ \sqrt{ {b}^{2}  -  {a}^{2} }  }{ \sqrt{ {b}^{2} } } \\  \boxed{ \sin(90 - x)  =\cos(x)   = \frac{ \sqrt{ {b}^{2}  -  {a}^{2} }  }{ b}  } \\

Slav-nsk [51]3 years ago
3 0

Answer:

(a/b √b^2 – a^2}}{b})

Step-by-step explanation:

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If x+y=9, and 8(x+3y)= 120, what is the value of x-y
Triss [41]

Answer:

3

Explanation:

Apply Multiplicative Distribution Law:

{x + y =9

{8x + 24y = 120

Reduce the greatest common factor on both sides of the equation.

{x + y = 9

{x + 3y = 15

Subtract the two equations: x + y - (x +3y) = 9 - 15

Remove paranthesis: x + y - x - 3y = 9 - 15

Cancel the unknown variables: y - 3y = 9 - 15

Combine like terms: -2y=9 - 15

Calculate the sum or difference: -2y = -6

Reduce the greatest common factor on both sides of the equation: y =3

Substitute one unknown quantity into the elimination: x + 3 = 9

Rearrange unknown terms to the left side of the equation: x = 9 - 3

Calculate the sum or difference: x = 6

Write the solution set of equations: {x = 6

                                                           {y = 3

Substitute: 6 - 3

Calculate the sum or difference: 3

Answer: 3

6 0
2 years ago
What is 1/8 divided by 3/4?​
nataly862011 [7]

Answer:

1 / 6 is the answer in fraction form and 0 . 16 as decimal form.

Step-by-step explanation:

1 / 8 ÷ 3 / 4

= 1 / 8 × 4 / 3

= 1 / 2 × 1 / 3

= 1 / 6

hope this answer will help you

6 0
3 years ago
What is the sum of the negative integers greater than -5
uranmaximum [27]
-10= ( -4)+(-3)+(-2)+(-1)
7 0
3 years ago
Kate currently has an account balance of $7,194.66. She opened the account 21 years ago with a deposit of $2,978.41. If the inte
jolli1 [7]
Use the attached formula.
exp = [log (total / principal) / n*years]
where "n" is compounding periods per year
exp = [log (7,194.66 / 2,978.41) / (365*21)
exp = log ( <span> <span> <span> 2.4156042989 </span> </span> </span> ) / 7,665
exp = log ( <span> <span> 2.4156042989 </span> </span> ) / 7,665
exp = 0.38302579382 / 7,665
exp = <span> <span> <span> 0.00004997074935681670 </span> </span> </span>

rate = (10^exp -1)* n
rate = (10^<span>0.00004997074935681670 -1) * n
</span>rate = <span><span>(1.0001150685 </span> -1) * 365
</span>rate = <span>(.0001150685) * 365</span>
rate = <span> <span> <span> 0.0420000025 </span> </span> </span>
rate = <span>4.20000025 %
rate = 4.2 %

Yes, it's just that easy.  LOL


</span>

5 0
3 years ago
Read 2 more answers
Only need question 2
Elza [17]

Answer:

C- all numbers less than 13.

Why these are incorrect:

A- If it was "less than or equal to" the sign would have to be "≤"

B- If it was 'greater than or equal to" the sign would have to be "≥"

D- If it was "greater than" the sign would have to be ">"

4 0
3 years ago
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