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:
40
Step-by-step explanation: Total distance = 60 miles
Total time = 30 / 30 + 30/60 = 3/2
Avg. speed = 40.
Answer:
18/5
Step-by-step explanation:
<em>From my understanding, this is 1 whole 2 upon 10</em>
<u>Step 1: Convert mixed fraction into fraction</u>
<em>Multiply whole number by denominator: 1 x 10 = 10</em>
<em>Add numerator: 10 + 2 = 12</em>
<em>Write the result as the numerator and use the same denominator.</em>
12/10
<u>Step 2: Find the total tape used</u>
<em>From my understanding, each student used 12/10 of the tap</em>
<em>So 3 students used: 12/10 x 3 =</em> 18/5
Therefore, the total tape used for three students was 18/5.
!!
Answer:
the diameter is: 14
the circumference is: C≈43.98
the area is: A≈153.94
Step-by-step explanation:
First one is 14
Second one is 45
Third one is 43
Fourth one is 40
