9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
Answer:
No
Step-by-step explanation:
Answer: The price of meal before the tip = $34.
Step-by-step explanation:
Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)
Total amount paid ( including tip) = $41.48
Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.
Let x be the price of meal, then
Total bill =x + 0.22 x (x )
⇒ $41.48= x(1+0.22) [ By distributive property]
⇒ $41.48 = x (1.22)
⇒ x= ($41.48) ÷ 1.22
⇒ x= 34
Hence, the price of your meal before you applied the tip = $34.
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
