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murzikaleks [220]
3 years ago
14

Find the value of x in each case. Give reasons to justify your solutions! e L, M ∈ KN

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

X=36

Step-by-step explanation:

3x+72=180

3x=180-72

3x=108

x=36

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Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

6 0
3 years ago
What is (5y+6)-(10y+3)
melisa1 [442]

5y + 6 - 10y  -  3 \\  - 5x + 3
6 0
3 years ago
Read 2 more answers
Explain how to use the break apart strategy to find 247+358
KIM [24]
1. Set up the long addition.
  2 4 7
+3 5 8 
_______

2. Calculate 7+8, which is 15.
since 15 is two-digit, we carry the first digit 1 to the next column.
      1 
   2 4 7
+ 3 5 8 
________
          5
  
3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
   1 1
   2 4 7
+ 3 5 8
________
       0 5

4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
      1 1
      2 4 7 
    +3 5 8
    ______
      6 0 5

5. Therefore, 247 + 358 = 605.
   
               605
8 0
3 years ago
Read 2 more answers
4. One morning at Jim's café, 25 people ordered juice, 10 ordered milk, and 50 ordered coffee with
Alona [7]

Answer:

D. 2 to 5

Step-by-step explanation:

10 milk orders to 25 juice orders can be simplified to 2:5 when divided by five.

8 0
3 years ago
HELP ASAP PLEASE EMERGENCY! Find the area of the shape shown below
vova2212 [387]

Answer:

IT SHOULD BE 240

Step-by-step explanation:

1) Multiply 20 by 10 for 200

2) Lenght=20 so half is 10

3) multiply 10 by 4 and divide by 2 which gives 20

4) Multiply 20 by 2 because there are 2 rectangles which gives us 40

5) Add 200 and 40 which gives answer of 240

5 0
2 years ago
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