Ln ( a^(-4) / b^1 c^1 ) =
= ln a ^(-4) - ( ln b + ln c ) =
= - 4 ln a - ln b - ln c =
= - 4 * 2 - 3 - 5 =
= - 8 - 3 - 5 = - 16
Answer:
A≈113.1
Step-by-step explanation:
Answer: B.
Y = 4x
Step-by-step explanation:
Given that the side of a shape is x
The perimeter of the shape is y
Perimeter of a rectangle can be expressed as:
P = 2L + 2W
Where L = length and W = width
But if the shape is a square, and the side of the shape is x, then, the perimeter will be
P = 4x
Where perimeter P = Y
Therefore, perimeter Y will be;
Y = 4x
Therefore, the correct answer is B which is:
Y = 4x
Answer:
14 degrees
Step-by-step explanation:
Complementary angles means they add up to 90 degrees.
If the smaller angle times 5 plus 6 equals the bigger angle, then:
14 x 5 = 70
70 + 6 = 76
76 + 14 = 90
You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.
So now to plug in the equation.
In your case a is 8 and c is 34. So now we need to solve for b.
8 squared is equal to 64.
34 squared is equal to 1156.
Now to plug things in.
64 + b^2 = 1156
Now subtract 64 from 1156.
That equals 1092.
The equation is now
b^2 = 1092
Now do the square root of 1092.
But since the square root is an irrational number you can just write b = 1092 ( but put a square root with 1092)