Answer:
96 laps in 12 minutes
144 laps in 18 minutes
Step-by-step explanation:
We can use the unit rate, which is 8 laps in 1 minute
8 laps/ 1 minute * 12 minutes = 96 laps
8 laps/ 1 minute * 18 minutes = 144 laps
We can use also use ratios to solve the problem.
5 minutes 12 minutes
-------------------- = --------------------
40 laps x laps
Using cross products
5*x = 40 * 12
Divide each side by 5.
x = 40/4 * 12
x = 96 laps
5 minutes 18 minutes
-------------------- = --------------------
40 laps x laps
Using cross products
5*x = 40 * 18
x = 40/5 * 18
x = 144
Answer: 96 laps
Step-by-step explanation:
We are given a unit rate of 8 laps per one minute. Using this unit rate, we can multiply the given minutes by the laps per minute.
This gives us an answer of 96 laps.
-12/(5)
0
12/(5)
The integral diverges.
Answer:
The integral diverges
Step-by-step explanation:
∫₁³ 2 / (x − 2)^(8/3) dx
∫₁³ 2 (x − 2)^(-8/3) dx
There is a discontinuity in the function at x = 2. Splitting this into two integrals:
∫₁² 2 (x − 2)^(-8/3) dx + ∫₂³ 2 (x − 2)^(-8/3) dx
(-6/5) (x − 2)^(-5/3) |₁² + (-6/5) (x − 2)^(-5/3) |₂³
∞
For a better understanding of the solution/explanation given here please go through the diagram in the file attached.
By definition, an angle bisector is a ray that divides an angle into two congruent angles.
In our question we have been given that GJ is the ray that is the angle bisector and that has been shown in the diagram.
Now, since, , therefore, the ray will divide the original angle into two congruent angles, and . Since, the division is equal, the values of both these angles will be half of the original angle. Thus, we will have:
Thus, the required value of
570.086
(5×100)+(7×10)+(8×110)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×11,000)
(5×100)+(7×10)+(8×110)+(6×11,000)
Answer:
10, 100. 70,700
Step-by-step explanation:
cuz qauntom of 11 77 divided by 11
A.
5
B.
20
C.
25
D.
30