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Alina [70]
3 years ago
7

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

Mathematics
1 answer:
Temka [501]3 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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There are 45 new houses being built in a neighborhood Last month, 1/3 of them were sold. This month, 1/5 of the remaining houses
goldfiish [28.3K]
1/3 of 45 is 15.

So 45-15= 30.

1/5 of 30 is 6.

So 30-6=24.

There are 24 houses left to be sold.
7 0
3 years ago
|9-(-1)|= simplify the expression
Hitman42 [59]

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

7 0
3 years ago
A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.
mart [117]

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05  

2

1

​  

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x&lt;3.75}.

Step-by-step explanation:

7 0
3 years ago
Given JM=27, ml=16, jl=46, nk=15, KLM= 48, JkM=78, MJL=22, find each missing value.
Llana [10]

Answer:

KL = 27

JK = 16

MK = 30

NL = 23

m∠JKL = 132°

m∠KLJ = 22°

m∠KMJ = 54°

m∠KJL = 26°

Step-by-step explanation:

The given parameters of the quadrilateral JKLM are;

JM = 27, ML = 16, JL = 46, NK = 15, KLM = 48, JKM = 78, MJL = 22

Taking the sides as parallel, we have that quadrilateral JKLM is a parallelogram

Therefore;

KL = JM = 27

JK = ML = 16

m∠KLJ = m∠MJL = 22°

MN = NK = 15

MK = MN + NK = 15 + 15 = 30

NL = JL/2 = 46/2 = 23

m∠KJM = m∠KLM = 48°

m∠KJL = m∠KLM - m∠MJL = 48° - 22° = 26°

m∠KML = m∠JKM = 78°

m∠MKL = 180° - m∠KML - m∠KLM = 180° - 78° - 48° = 54°

m∠MKL = 54°

m∠JKL = m∠JKM + m∠MKL = 78° + 54° = 132°

m∠KMJ = m∠MKL = 54°

3 0
2 years ago
Which of the following is the y-intercept of the line whose equation is 7y-42×+7=0?​
timama [110]

Answer:

7 is the y intercept

Step-by-step explanation:

5 0
3 years ago
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