Answer: C. 45 degrees and 135 degrees
Answer:
38 km
Step-by-step explanation:
1. The formula to find the area of a trapezoid is 
, where a and b are the bases and h is the height.
2. To find the area, all we have to do is plug in these values and simplify!
3. (Solving)
Therefore, the area is 38 km.
60/25 = 12/Y
cross multiply and divide
25 x 12 = 300
300 / 60 = 5
Y = 5 boxes
First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.
-2 ( 2x + 18y = -9) = -4x -36y = 18
Then, we combine the two equations.
-4x + 4x = 0
18y - 36y = -18y
-27 + 18 = -9
Our new equation is -18y = -9.
Now, divide both sides by -18.
-18y / -18 = y
-9/ -18 = 1/2
y = 1/2
We can plug in a value for y since y = 1/2 now.
Let's use 2x + 18y = -9
Plug in y.
2x + 18(1/2) = -9
2x + 9 = -9
Then, subtract 9 from both sides.
2x = -18
Divide by 2.
2x/2 = x
-18/2 = -9
x = -9
Lastly, we can plug in both x and y values to see it works.
2(-9) + 18(1/2) = -9
-18 + 9 = -9
Therefore, the values of x and y does work.
x = -9
y = 1/2
1 ) log ( 16 ) 4 = 1/2
Answer: B ) 1/2
2 ) 125 ^( 9 x - 2 ) = 150
9 x - 2 = log ( 125 ) 150
9 x - 2 = 1.038
9 x = 1.038 + 2
9 x = 3.038
x = 3.038 : 9
x = 0.3375
Answer: C ) 0.3375
3 ) log ( 3 x + 2 ) = 3
3 x + 2 = 10^3
3 x + 2 = 1000
3 x = 1000 - 2
3 x = 998
x = 998 / 3
Answer: B ) 998 / 3
