<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Answer:
16 shirts and 48 ties
Step-by-step explanation:
you start with 64 and divide it by 4 i got four cause it says that James had THREE times as many ties as shirts leaving him with leaving him with 3 groups of ties and 1 group of shirts . dividing 64 by 4 leaves you with 16 which is the amount of shirts he has and then you would multiply 16 by 3 to get the amount of ties he has.
Answer:
Step-by-step explanation:
oh boy
1) 9 < 16
2) -4 < 5
3) 18 > -19
4) -38 < -16
5) 6 > 4
6) -14 > -25
7) -45 > -55
8) -2 > -10
9) -4, -1, 1, 3, 6
10) -15, -13, -5, 8
11) -9, -6, -5, -1, 0
12) -4, -2, 1, 3
13) -10, -9, 7, 8, 11
14) -33, -25, -14, -4, 7
hope this helps <3
