Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
Answer:
x=-14
Step-by-step explanation:
-2(x-8)+4x= -12
-2x+16+4x=-12
2x=-28
x=-14
-9+4=5 because two negative signs makes a positive
Answer:
24 miles per hour.
Step-by-step explanation:
you divide 144 by 6 to get 24.
Answer:
y=-2x+10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-(-10))/(1-10)
m=(8+10)/-9
m=18/-9
m=-2
------------------
y-y1=m(x-x1)
y-(-10)=-2(x-10)
y+10=-2x+20
y=-2x+20-10
y=-2x+10