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Verizon [17]
3 years ago
5

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

es where appropriate. If there is no solution, enter NO SOLUTION.)
3 tan^3(θ) = tan(θ)
Mathematics
1 answer:
valentinak56 [21]3 years ago
6 0

Answer:

tan(θ) = 0, 0.577, -0.577

Step-by-step explanation:

3tan³(θ) - tan(θ) = 0

tan(θ)(3tan²(θ) - 1) = 0

tan(θ) = 0

tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)

tan(θ) = 0, sqrt(⅓), -sqrt(⅓)

tan(θ) = 0, 0.577, -0.577

To find θ values, domain is required

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(Fog) (x) f(x)=6x-5 <br> g(x) =6x^2-3x
algol [13]

Answer:  

see below

Step-by-step explanation:

put g(x) in for the x in f(x)

f(x)= 6x-5\\g(x)= 6x^{2} -3x\\f(g(x)= 6(6x^{2} -3x)-5

5 0
2 years ago
What is the slope of the line in the graph?
Goshia [24]

Answer:

My answer would be y=2x+1

Step-by-step explanation:

7 0
2 years ago
Please help me. solve for X
Vinil7 [7]

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

6 0
3 years ago
What is the range of possible sizes for side x? _ &lt; x &lt; _
allochka39001 [22]

Answer:

  0.5 < x < 16.5

Step-by-step explanation:

The third side of the triangle must be longer than the difference of the other two sides:

  x > (8.5 -8.0)

  x > 0.5

And it must be shorter than their sum:

  x < (8.5 +8.0)

  x < 16.5

The third side must be in the range ...

  0.5 < x < 16.5

_____

These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.

3 0
2 years ago
Help with question 21!
Darya [45]
W=-3m+205
m=number of months
205= weight at first to start the diet
w=weight

a)
m=0
so; 
w=-3(0)+205=205

Answer: Chris weight at the start of the diet 205 pounds

b)
W=-3m+205

The weight lost each month is the number beside "m", in this case is -3 pounds

Answer: Chris lose 3 pounds per month

c)
w=205-45=160
so
160=-3m+205
-3m+205=160
-3m=160-205
-3m=-45
m=-45/-3=15

Answer: 15 months.
4 0
3 years ago
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