Answer:
Orion's belt width is 184 light years
Step-by-step explanation:
So we want to find the distance between Alnitak and Mintaka, which is the Orions belts
Let the distance between the Alnitak and Mintaka be x,
Then applying cosine
c²=a²+b²—2•a•b•Cosθ
The triangle is formed by the 736 light-years and 915 light years
Artemis from Alnitak is
a = 736lightyear
Artemis from Mintaka is
b = 915 light year
The angle between Alnitak and Mintaka is θ=3°
Then,
Applying the cosine rule
c²=a²+b²—2•a•b•Cosθ
c² =736² + 915² - 2×, 736×915×Cos3
c² = 541,696 + 837,225 - 1,345,034.1477702404
c² = 33,886.85222975954
c = √33,886.85222975954
c = 184.0838184897 light years
c = 184.08 light years
So, to the nearest light year, Orion's belt width is 184 light years
It’s the last one. (I’m pretty sure, sorry if I’m wrong)
Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
Tammy's recipe makes a sweeter fruit punch. This is because 3/4 (Kim's recipe) equals 18/24 (Tammy's recipe) and 5/6 equals 20/24 and since 20/24 is the bigger ratio, Tammy's recipe will make a sweeter fruit punch. I hope this helps. (:
