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]
Because the line is already written in slope-intercept form, we can find the slope and y-intercept just by looking at it.
<u>The slope is 6.</u>
<u>The y-intercept is -12.</u>
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = 
[Since, sin(a) = 
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) = 
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
=
Therefore, cos(a + b) =
You surveyed 30 students to see how many CDs they owned.
The number of students who owned 5 - 8 CDs was:
= 15
The number of students who owned 9 - 12 CDs was:
= 10
The number of students who owned 13 - 16 CDs was:
= 5
The number of students who owned 17 - 20 CDs was:
= 0
The total number of students surveyed is the sum of the above:
= 15 + 10 + 5 + 0
= 30 students
30 students were surveyed for this study.
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Answer:
im stuck on that too man
Step-by-step explanation:
