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)
D. 1/5
Reason: it’s always the first number in the equation
G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²
It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4
Answer:
F(x)=(x-4)²+4
Answer:
y = -17
Step-by-step explanation:
5 + 3(y - 4) = 5(y + 2) - y Distribute
5 + 3y -12 = 5y + 10 - y Combine like terms
-7 + 3y = 4y + 10
+7 +17 Add 17 to both sides
3y = 4y + 17
-4y -4y Subtract 4y from both sides
-y = 17 Divide both sides by -1
y = -17
If this answer is correct, please make me Brainliest!
Hi!
We will find the monthly budget using proportions, like this:
15% = 0,15___________600$
100% = 1_____________x$
__________________________
x = (600*1)/0,15
x = 600/0,15
x = 4000
Their monthly budget is 4000$.
Hope this helps!
