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aalyn [17]
3 years ago
6

Sin(3x-16)=cos(4x-6) x=?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
sin(3x-16)=cos(4x-6) \\  sin(3x-16)=sin( \frac{ \pi }{2} -(4x-6)) \\ 3x-16=\frac{ \pi }{2} -(4x-6)
3x-16=\frac{ \pi }{2} -4x+6
then :
<u />3x-16=2k \pi +(\frac{ \pi }{2} -4x+6) \\ 7x=2k \pi +\frac{ \pi }{2}+22 \\ x= \frac{2k \pi}{7}  +\frac{ \pi }{14}+ \frac{22}{7}
and \\ 3x-16=2k \pi + \pi -(\frac{ \pi }{2} -4x+6) \\ 3x-16=2k \pi + \pi -\frac{ \pi }{2} +4x-6 \\ -x=2k \pi + \frac{ \pi }{2}+10 \\ x=-2k \pi - \frac{ \pi }{2}-10
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4(-4x - 3) &gt; 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
3 years ago
Read 2 more answers
EXPERTS AND ABOVE ONLY
yawa3891 [41]
1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t 
t ≤ 16
D. 

2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.

3. c = .8(x-15) = .8x-12
A.

4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes

6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.

5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2

7.  (sorry I'm not sure!)

8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76

10. J

8 0
3 years ago
The teams ratio games of won to played was 5 to 6 if the team played 36games how many games did the team win to fail
azamat

Answer: 30

Step-by-step explanation: If you play 36 games in total but the ratio is 5:6 you could use a little dividing so 36/6 is 6 so you would multiply both number by six giving you 30:36

4 0
4 years ago
Help???????????!!!!!!!!!!!
Butoxors [25]
Salutations!

12 \frac{2}{3}

- 9 \frac{3}{4}

= \frac{38}{3} 

Then,

- 9 \frac{3}{4}

- \frac{39}{4}

Next, our final answer:

= \frac{35}{12}

= 2 \frac{11}{12} 

Our decimal would be 2.916667

Hopefully This Helps!!!

 
3 0
3 years ago
Any one help with a step by step answer so I can write notes for future reference when working out similar questions? I need hel
max2010maxim [7]

Answer:

<em>Volume = ( About ) 2406.165 cm^3</em>

Step-by-step explanation:

If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;

Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165

<em>Solution ⇒ ( About ) 2406.165 cm^3</em>

<em />

Hope that helps!

3 0
3 years ago
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