Hello :
by idetity : 1+cos(2a) = 2cos²(a)
let : a = <span>θ/2
1+cos(2×</span>θ/2)=2cos²(θ/2)
1+cos(θ) = 2cos²(θ/2)
solve : 2 cos^2 (θ/2) - 3 cos(θ) = 0 ......(1)
(1) : 1+cos(θ)-3 cos(θ) =0
2cos(θ) = 1
cos(θ) = 1/2
in : [0, 2π<span>[
</span>( θ = π/3) or (θ = 5π/3)
Answer: 13.5 inches
Step-by-step explanation:
Let x be the length of the towel bar.
Since, the towel bar's ends from each end of the door are 7.75 each,
Thus, the width of the door = x + 7.75 + 7.75 = x + 15.5
But, According to the question,
The width of the door = 29 inches,
Therefore, x + 15.5 = 29
⇒ x = 13.5 inches
D because it’s a 1:2 scale so you’ll take the area times 2 so D:20
9514 1404 393
Answer:
- 34.5 miles in 46 minutes
- 45 miles in 1 hour
Step-by-step explanation:
The speed of the car in miles per minute is ...
(2 1/2 miles)/(3 1/3 minutes) = (5/2)/(10/3) miles/minute
= (5/10)(3/2) miles/minute = 3/4 miles/minute
Then in 46 minutes, the car will travel ...
(3/4 miles/minute)(46 minutes) = (138/4) miles = 34 1/2 miles
The car will travel 34 1/2 miles in 46 minutes.
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In 60 minutes, the car will travel ...
(3/4 miles/minute)(60 minutes) = 45 miles
The car will travel 45 miles in 1 hour.