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IrinaK [193]
4 years ago
15

If sin(x) = 0.28, what is cos(90° - x)

Mathematics
1 answer:
vlabodo [156]4 years ago
5 0
\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)
\\\\\\
sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad 
csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)

therefore, sin(x) = cos(90° - x).
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-1/2=3/2k+3/2<br> explain how you got your answer
meriva

-1/2=3/2k+3/2


Rewrite the equation to have k on left side


3/2k+3/2=-1/2


Simplify 3/2k


3k/2+3/2=12


Move all terms not containing k to right side


3k/2=1/2-3/2


3k/2=-2


Multiply both sifmdes by 2


2(3k/2)=-2(2)


3k=-4


Divide both sides by 3 to get k alone


3k/3=-4/3


K= -4/3



5 0
3 years ago
What is equivalent to (5x-6) (2x+3) ?
ioda
Option A, because you split the (2x + 3) into 2x and 3.
7 0
3 years ago
Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
4 years ago
PLEASE HELP!! I need this completed ASAP but I don't understand any of it!! It's due very soon!
lidiya [134]

Answer:

Step-by-step explanation:

a) you know interest is 22 and principal is 1000 and number of months is 1

b) I = rPm

   r = I/Pm

c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month

or 12(0.022) = 0.264 or 26.4 % per year.

d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.

P = I/rm

e) P = 15 / 0.10 = $150

Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.

This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.

6 0
3 years ago
3. Jessie has 25 small
elena-14-01-66 [18.8K]

Answer:

500 rocks

Step-by-step explanation:

25*20 = 500

7 0
2 years ago
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