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Alina [70]
2 years ago
7

Express sin 6x-sin 2x in product form.​

Mathematics
1 answer:
Temka [501]2 years ago
7 0

Answer:

Step-by-step explanation:

sin C-sin D=2cos ((C+D)/2)sin ((C-D)/2)

sin ~6x-sin ~2x=2cos ~\frac{6x+2x}{2} sin ~\frac{6x-2x}{2} \\=2 ~cos~4x~sin~2x

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Write the measure 29° 6' 6" as decimal to the nearest thousandth.
den301095 [7]
This angle is "29 degrees 6 minutes 6 seconds".

-- There are 60 minutes in 1 degree. 
     So 1 minute = 1/60 degree.

-- There are 60 seconds in 1 minute. 
      So 1 second = 1/60 minute = 1/3600 degree.

  29  6'  6"  =  (29)° + (6/60)° + (6/3600)°

                   =  (29)° + (0.1)° + (0.001666...)°

                   =        29.101666...°

Rounded to the nearest thousandth of a degree:  29.102°
6 0
3 years ago
Karen and her friends went to dinner at Olive Garden. Their bill was $58 including tax.
tester [92]

Answer:

$69.60

Step-by-step explanation:

58 increase 20% =

58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6

6 0
3 years ago
The sum of two consecutive even integers is 66. Find the numbers.
evablogger [386]
Let the consecutive even numbers be n and n+2.
From given condition, 
n + n+2 = 66
2n = 64
∴ n = 32.
Therefore, the two consecutive even numbers are.
n = 32 and n+2 = 34.
4 0
3 years ago
Paula has $54. She bought some pencils, each costing $0.75, and a paper ream for $2.50. She is left with $42.50 after buying pen
8090 [49]

Answer:

12 pencils

Step-by-step explanation:

let no. of pencils bought be x.

54 - 0.75x - 2.50 = 42.50

9 = 0.75x

x = 12

Topic: algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

7 0
3 years ago
Reuben bought a bike from an online sports store. The bike was shipped to his home in Sterling, Alberta from Provo, Utah. The li
Nata [24]

Answer:

CAD 708.76

Step-by-step explanation:

Multiply US$688 by the conversion factor 1.02 CAD / US$1:

The result is CAD 708.76

8 0
2 years ago
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