Capacity of the tank = 45 gallon
At the beginning of Oct., amount of oil in the tank = 45*0.8 = 36 gallons
At the end of Oct., amount of oil in the tank = 45*1/3 = 15 gallons
So, amount of oil used during Oct = (36-15) = 21 gallons
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Hope it helps with your work
Answer:
I am pretty sure there are 10 people in line.
Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.
Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.
6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>
Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.
9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.
