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)
Right now the dirt bike is worth $500. Next year it will be worth 15% less, or 85% of the current value (because currently it's at 100%, so you would subtract the 15%). To find 85% of the dirt bike's value, you would take $500 and multiply by 85% (or 0.85). This would give you $425 after 1 year. You'd take $425 and multiply that by 85% for the next year, and continue until you reached 5 years of the value decreasing. Does this help?
There will be 23 student photo’s on 48 poster boards. All you have to do is divide 1,104 with 48
Answer:
Jimmy has one candy times, 35 candies that his mom just gave him. He said, he's going togive 14 out of the 16 candies, he put a side to his mom
Answer:
see below
Step-by-step explanation:
The area is given by
A = l*w
A = (4x-1) ( 3x+6)
FOIL
first 4x*3x =12x^2
outer 6*4x = 24x
inner -1*3x = -3x
last -1 *6 = -6
Add together
12x^2 +24x-3x-6
12x^2 +21x-6
