How do you convert sin into cos, and vice versa.. Promblem: cos(6x) = sin(3x-9)

Answers

Answer 1
Answer: The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°

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Tell how you can determine whether a number is a solution of an equation.

Answers

If you had an equation in terms of x then you can sub in your answer and see whether it works

Rounak has 4 packs of 12 glitter pens. She has 7 packs of 8 scented pens. She gives her friend a pack of glitter pens in exchange for a new pack of scented pens. How many pens does Rounak have now?​

Answers

Answer: Rounak has 100 pens now.

Please helppDetermine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)

No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?

Answers

Answer:

translation, pre-image wouldn't change

Step-by-step explanation:

Can Someone please find me the value of Y? Thanks!

Answers

Since the triangles are similar   the corresponding sides are in the same proportion, so:-

16/30  =  14/y 

y = 30 * 14  / 16  =  26.25

You are playing tug-of-war in gym class. At the start, you take two steps back. The other team pulls, and you take three steps forward. Which expression can be used to find how far you are from your original position?

Answers

Answer:

−2+3

Step-by-step explanation:

Answer:

-2 + 3

Step-by-step explanation:

Find -x + 10 less than 0.

0
-x + 10
x - 10

Answers

-x + 10 \ \textless \ 0

Transposing the inequation gives:
-x \ \textless \ -10

Since we want to get rid of the negatives on both sides, we must flip the sign:
x \ \textgreater \ 10

If you transpose the equation to make RHS be 0:
x - 10 \ \textgreater \ 0
That seems to satisfy  x - 10 (could be wrong though...)

But I'm not exactly clear on what you want as the options above don't seem to give that much context :I

Answer:

x - 10

Step-by-step explanation: