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Marina86 [1]
3 years ago
14

If the angles are represented in degrees, find both angles: sin(x + 7) = cos(4x + 8)

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
7 0

Answer:

x = -1/3

Step-by-step explanation:

We have,

sin(x + 7) = cos(4x + 8)

We need to find the value of x.

We know that,

sin(90-x) = cosx

So,

sin(90-(x + 7)) = cos(4x + 8)

cos(x+7) = cos(4x + 8)

i.e.

(X+7) = (4x+8)

7-8 = 4x-x

-1 = 3x

x = -1/3

docker41 [41]3 years ago
6 0

Answer:

sin(22 ∘ ) = cos(68∘ )

Step-by-step explanation:

Sin(x+7)=cos(4x+8)

(x+7) + (4x+8) =   90

x + 7 + 4x + 8 =  90

5x + 15 =  90

    −15 =  −15

5x/5 = 75/5

x = 15

Answer: sin(22 ∘ ) = cos(68∘ )

 

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Answer:

The points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

Step-by-step explanation:

Here, the given equations are: y + 4 = x^{2}  , y -x = 2

Now checking for the given points:

(a) (-2, 0)

Here, y + 4 = 0 + 4 = 4 =   (-2)^{2}  =  x^{2} \\y- x = 0 -(-2) = 2  = RHS

Hence,  (-2, 0) is the solution of the given equations.

b) Checking for (2,0), as (-2, 0) is a solution as shown above

Here, y + 4 = 0 + 4 = 4 =   (2)^{2}  =  x^{2} \\y- x = 0 +  (-2) = -2  \neq 2(RHS)

Hence,  (2, 0) is NOT the solution of the given equations.

c) Checking for (3,5), as (-2, 0) is a solution as shown above

Here, y + 4 = 5 + 4 = 9 =   (3)^{2}  =  x^{2} \\y- x = 5 -3 = 2 -  (RHS)

Hence,   (3,5), is the solution of the given equations.

Hence, the points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

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4 years ago
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Answer:

see explanation

Step-by-step explanation:

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jenny peddled her bike for 11 miles in 45 minutes if she traveled the same speed how far would she reach in 2 hours?
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Step-by-step explanation:

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valentina_108 [34]
  • Answer:

<em>GCF = 38</em>

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