By the law of cosines, the angle
satisfies
which reduces to
which converts to approximately 77 degrees (this can be done my multiplying by 180 and dividing by pi).
This question is incomplete
The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
Write a system using c for candles and f for flowers.
Answer:
c + f ≤ 200
5c +6f ≥ 500
Step-by-step explanation:
Using
c for candles
f for flowers.
The girls estimate that at most they will sell 200 items.
At most is a statement that means : Less than or equal to with the inequality sign (≤)
Hence:
c + f ≤ 200
They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.
At least is a statement that means : Greater than or equal to with the inequality sign (≥)
Hence:
$5 × c + $6 × f ≥ $500
5c + 6f ≥ 500
Therefore, the system of inequalities is given as:
c + f ≤ 200
5c + 6f ≥ 500
x will be 67 because in each case the angles are alternate interior angle so we can prove x=67degree
