The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Answer:
-.6 repeating
Step-by-step explanation:
Answer:
The probability of spinning a vowel, then Q, is 1/12
Step-by-step explanation:
Find the probability of each event occurring. There are three vowels out of 6 letters and 1 Q, so the chances of spinning a vowel is 3/6 or 1/2 and the chances of spinning a Q is 1/6. Multiply the probabilities of the two events occurring to find the probability of a compound event. 1/2*1/6 = 1/12. Hope this helps!
Answer:
, 9.9 ounces of water remaining.
Step-by-step explanation:
<u>Given:</u>
Dylan drank 5.2 ounces of water before soccer practice, and 12.9 ounces after practice.
Before he drank any water, there were 28 ounces of water in the container.
<u>Question asked:</u>
Which expression can be used to find the amount of water remaining?
<u>Solution:</u>
Let the amount of water remaining.
Total quantity of water in the container = 28 ounces
Before practice, Dylan drank = 5.2 ounces
After practice, Dylan drank = 12.9 ounces
Remaining amount of water = Total quantity of water in the container - Amount of water is drunk before practice - Amount of water is drunk before practice
Thus, 9.9 ounces of water remaining in the container.
Answer:
This should be it
lmk if you have questions
y = x + 3.50.