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
Answer:
0.33
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I honestly couldn't tell you how to do this, I don't understand it. I just took the test and got this question correct. The answer is A, (5-7)^2.
Answer:
Look in explanation
Step-by-step explanation:
I will assume that you're trying to solve for "x".
For number 1: 49+(5x+1) is a supplementary angle(180 degrees) so you can subtract 180-49 to get 131.
Now, 131 = 5x+1
-1 -1
130 = 5x
/5 /5
Now, we isolate the x to get x=26.
Number 2: There is a supplementary angle as well so we can put 5x+12+6x+3=180.
Now, combine the like terms to get 11x+15=180 so we now isolate x.
-15 -15
11x=165
/11 /11
x=15
Now, try the rest and set the terms to 180.
5x+1+8+4x=180
2x+1+x-10=180
6+x+5x=180
x+2+153=180(This is similar to #1)
CHECK YOU ANSWERS BELOW AFTER YOU HAVE ATTEMPED THE REST OF THE PROBLEMS.
3. x=19
4. x=63
5. x=29
6. x=25