20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.
1 answer:
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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:
$169.96 dollars
Step-by-step explanation:
Given the following questions:
8.25% of 22.55 and 134.45
In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.
<u>Calculate the percentage:
</u>
<u>Add the sales tax:</u>
Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."
Hope this helps.