The ratio would be
45/100
45 to 100
45:100
Hope this helps!
Answer:
y=2/3x-2
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
There are 24 hours a day and a koala sleeps for 20 hours of it:
20/24
5/6
Answer: Gustavo is 261.96 meters away from Aiden. Or Aiden is 261.96 meters away from Gustavo.
Step-by-step explanation: From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Therefore, Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.the total angle between them is 23 + 33 = 56°. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ.
Therefore, they are 261.96 meters apart.
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
<u>Given</u>:
Given that O is the center of the circle.
The radius of the circle is 3 m.
The measure of ∠AOB is 30°
We need to determine the length of the major arc ACB
<u>Measure of major ∠AOB:</u>
The measure of major angle AOB can be determined by subtracting 360° and 30°
Thus, we have;
Thus, the measure of major angle is 330°
<u>Length of the major arc ACB:</u>
The length of the major arc ACB can be determined using the formula,
<u></u>
<u></u>
Substituting r = 3 and 
, we get;
Thus, the length of the major arc ACB is 5.5π m
