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xeze [42]
3 years ago
8

If cos ⁡θ=−8/17, and 180°θ<270°, what is sin θ?

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

-15/17

Step-by-step explanation:

One method is to use Pythagorean identity.

sin² θ + cos² θ = 1

sin² θ + (-8/17)² = 1

sin² θ + 64/289 = 1

sin² θ = 225/289

sin θ = ±15/17

Since θ is in the third quadrant, sin θ < 0.  So sin θ= -15/17.

Another method is to draw a triangle in the third quadrant, with angle θ, adjacent side -8, and hypotenuse 17.  Use Pythagorean theorem to find the opposite side:

c² = a² + b²

17² = (-8)² + b²

b = -15

Therefore, sin θ = -15/17

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Tpy6a [65]

Answer:

Step-by-step explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

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3 years ago
What is the volume of the triangular prism prism? <br> 8cm<br> 13cm<br> 3cm
Vika [28.1K]

Answer:

156 cm3

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3 years ago
4(x+9)=8x-7<br> Solve for x
valentina_108 [34]

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

3 0
2 years ago
Solve to the correct order
Marianna [84]

32^3/5 = 8

64^2/3 = 16

81^1/4 = 3

49^1/2 = 7

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2 years ago
If a turtle walk 2 yards then 10 in then 3 ft how many inches did it walk in all
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Answer:

118

Step-by-step explanation:

2 yards=72 in

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4 0
3 years ago
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