Time taken by the car to cover 260 km is 2.6 hrs
Step-by-step explanation:
- Step 1: Find the speed of the car given distance covered = 150 km and time = 1.5 hrs.
Speed = Distance/Time = 150/1.5 = 100 km/hr
- Step 2: Find the time taken by the car to cover 260 km.
Time = Distance/Speed = 260/100 = 2.6 hrs
Answer:
![M_4=0.4722](https://tex.z-dn.net/?f=M_4%3D0.4722)
Step-by-step explanation:
we are given integral as
![\int _0^{\frac{\pi }{2}}\left(2cos\left(5x\right)\right)dx\:](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5Cleft%282cos%5Cleft%285x%5Cright%29%5Cright%29dx%5C%3A)
n=4
Firstly, we will find delta x
![\Delta x=\frac{\frac{\pi}{2}-0 }{4}](https://tex.z-dn.net/?f=%5CDelta%20x%3D%5Cfrac%7B%5Cfrac%7B%5Cpi%7D%7B2%7D-0%20%7D%7B4%7D)
![\Delta x=\frac{\pi}{8}](https://tex.z-dn.net/?f=%5CDelta%20x%3D%5Cfrac%7B%5Cpi%7D%7B8%7D)
now, we can find mid-point sum
![M_4=(0.3925) \times( f((0+0.3925)/2)) + f((0.3925+0.785)/2)) + f((0.785+1.1775)/2)) + f((1.1775+1.57)/2)) )](https://tex.z-dn.net/?f=M_4%3D%280.3925%29%20%5Ctimes%28%20f%28%280%2B0.3925%29%2F2%29%29%20%2B%20f%28%280.3925%2B0.785%29%2F2%29%29%20%2B%20f%28%280.785%2B1.1775%29%2F2%29%29%20%2B%20f%28%281.1775%2B1.57%29%2F2%29%29%20%29)
![M_4=(0.3925) * ( 1.1119679802993 + -1.960985790784 + 0.3852980309352 + 1.6668002599015 )](https://tex.z-dn.net/?f=M_4%3D%280.3925%29%20%2A%20%28%201.1119679802993%20%2B%20-1.960985790784%20%2B%200.3852980309352%20%2B%201.6668002599015%20%29)
![M_4=0.4722](https://tex.z-dn.net/?f=M_4%3D0.4722)
Answer:
C
Step-by-step explanation:
Because i'm smart and did the math.
From 5 to 23, there are 18 units, 23 - 5 is just 18, so the segment AB is 18 units long.
now, this point is 2/9 of the way hmmmm what is 2/9 of 18? well, is just their product,
![\bf 18\cdot \cfrac{2}{9}\implies \cfrac{36}{9}\implies 4](https://tex.z-dn.net/?f=%5Cbf%2018%5Ccdot%20%5Ccfrac%7B2%7D%7B9%7D%5Cimplies%20%5Ccfrac%7B36%7D%7B9%7D%5Cimplies%204)
so the point is 2/9 of the way from A, namely, is 4 units away from 5, 5+4.