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____ [38]
3 years ago
6

Please help me with this problem.

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Step-by-step explanation:

cos(x + 45 \degree) + cos(x  -  45 \degree) =  \sqrt{2}  \\ cosx  \: cos45 \degree - sinx  \: sin45 \degree  \\ + cosx  \: cos45 \degree  + sinx  \: sin45 \degree  =  \sqrt{2}  \\ 2cosx  \: cos45 \degree =  \sqrt{2}  \\ 2cosx \times  \frac{1}{ \sqrt{2} }  =  \sqrt{2}  \\ 2cosx =  \sqrt{2}  \times  \sqrt{2}  \\ 2cosx = 2 \\ cosx =  \frac{2}{2}  \\ cosx = 1 \\ cosx = cos \: 0 \degree \\ \huge \red{ \boxed{ x = 0 \degree}} \\

You might be interested in
PLEASE PLEASE HELP ME!!
Ivenika [448]

Answer:

A-

X=11

(the solution is down)

B-

x+x+1+x+2=36

3x+3=36

3x=36-3

3x=33

x=33/3

x=11

------------

X=11

X+1=12

X+2=13

11+12+13=36

8 0
3 years ago
What is an a priori proposition? an a posteriori proposition?
solniwko [45]
A priori means as things were in the beginning or at the start.
a posteriori means as things are after any event.
4 0
2 years ago
-5/8 - (-4/3)<br> Pls help
Inessa05 [86]

Answer:

Step 1 of 2: Subtract.  

Subtract

(

negative 5 over 8  

−  

5

8

) − (

negative 4 over 3  

−  

4

3

) =  

17 over 24  

17

24

Step 1 of 2: Subtract, sub-step a: Subtract a negative.  

Subtract a negative

negative 5 over 8  

−  

5

8

− (

negative 4 over 3  

−  

4

3

) =  

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.  

Find common denominator

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

= −

( 5 × 3 ) over ( 8 × 3 )  

5 × 3  

8 × 3  

+  

( 4 × 8 ) over ( 3 × 8 )  

4 × 8  

3 × 8  

=  

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.  

Add

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

=  

(  

negative 15  

−15 + 32 ) over 24  

negative 15  

−15 + 32  

24

=  

17 over 24  

17

24

3 0
2 years ago
Read 2 more answers
The measure of an angle is 28 degrees less than its supplement. find the supplement
barxatty [35]

Supplementary angles measure 180°. Make an equation:

x+(x+28) = 180

Subtract 28 to leave the variable in the parentheses alone:

x+(x+28-28) =180-28 \\ x+x = 152

Add the 2 x's together:

x+x = 2x

Your new equation is:

2x=152

Divide both sides by 2 to leave the variable alone

\frac{2x}{2} = \frac{152}{2}  \\ \\ x = 76

The supplement measures 76°

8 0
3 years ago
What is a factors for -12
Rzqust [24]

Answer:

4-16= -12

16-28= -12

Step-by-step explanation:

frognj;ghgrue;jnvougheruo'gln

4 0
2 years ago
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