Answer:
<u> x = 16</u>
Step-by-step explanation:
See the attched figure
We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.
Given:
m∠ABC = 84 and m∠ABE = 3x − 6
So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42
∴ 3x - 6 = 42
Solve for x
3x = 42 + 6 = 48
x = 48/3 = 16
<u>∴ x = 16</u>
If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show
Let . Compute the inverse:
and we immediately notice that .
So, we can write the given integral as
Splitting up terms and replacing in the first integral, we get
Answer:
<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>Step-by-step explanation:
The decreasing part is from (20,13) to (60,6), which gives an average rate of
Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of
Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.
Therefore, the amount of fuel used was lowest at speeds around 60 km/h.
