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]
This is a square with area 36 in^2
So dimensions are 6 * 6 ins and perimeter = 24 ins.
Answer:
17
Step-by-step explanation:
The computation of the number of elements are in (A ∩ B) is shown below;
Given that
Set A contains 35 elements
And, set B contains 22 elements
Now if there are 40 elements in (A ∪ B)
So, the number of elements are in (A ∩ B) is
= 35 + 22 - 40
= 17
Answer:
A.) 40.506 cm is the answer
