I think it’s A for some reason
Hello :
<span>cot (2 θ) + cot ( θ) = 0
</span>cot (2 θ) = - cot ( θ)
cot (2 θ) = cot ( - θ)
2 θ = - θ +2k <span>π k in : Z
</span>θ = 2k π /3
in : <span>[0, 2π)
</span>k=0 : θ = 0
k=1 : θ = 2π /3
k=2 : θ = 4π /3
Answer:
20 miles
Step-by-step explanation:
We are given that
Person traveled total distance by bike=2 1/2 miles
Person traveled total distance by bike==
Time taken by person ,t=1/8 hour
We have to find the distance traveled by person bike in an hour.
We know that
Rate==
Using the formula
Rate=
miles/hr
Rate=20mph
In 1 hour person bike traveled distance=20 miles
Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T = 
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°