Step-by-step explanation:
total base length has to be found.
(√(3.6)^2+(3.25)^2+6.2)*3.25*.5=3.97
Answer: 60 L
Step-by-step explanation:
Given
The measurement of a rectangular vessel is ![40\ cm\times 30\ cm\times 50\ cm](https://tex.z-dn.net/?f=40%5C%20cm%5Ctimes%2030%5C%20cm%5Ctimes%2050%5C%20cm)
If we multiply the given terms then it will give the volume of the rectangular vessel in
.
So, the volume of the rectangular vessel is
![\Rightarrow V=60,000\ cm^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D60%2C000%5C%20cm%5E3)
Also, we know
i.e. to convert
to L, divide the result by 1000.
![\Rightarrow V=60,000\ cm^3=60\ L](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D60%2C000%5C%20cm%5E3%3D60%5C%20L)
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
The train running at 45 km/hr would pass the jogger running at 9 km/hr after 36 s.
The relative speed of the train to the jogger must be determined to solve for the time that it would take to pass the jogger. The jogger and the train go in the same direction. Therefore, their relative speed would be based on the difference of their speed.
Relative speed = 45 km/hr - 9 km/hr
Relative speed = 36 km/hr
Converting relative speed of km/hr to m/s:
(36 km/hr)(1000 m/km)(1 hr/3600s)= 10 m/s
The formula that will be used is distance/speed.
time= total distance/ relative speed
time = (240 m + 120 m) / 10 m/s
time = 36 s
To learn more about relative speed, please refer to brainly.com/question/17228388.
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Answer:
The answer to your question is x² + y² - 8x - 6y = 0
Step-by-step explanation:
Data
P (1, 7)
Q (8, 6)
R (7, -1)
Use the general equation of the Circle
x² + y² + Dx + Ey + F = 0
Process
1.- Substitute each point in the general equation and simplify
For P
(1)² + (7)² + D + 7E + F = 0
1 + 49 + D + 7E + F = 0
50 + D + 7E + F = 0
D + 7E + F = -50 Equation l
For Q
(8)² + (6)² + 8D + 6E + F = 0
64 + 36 + 8D + 6E + F = 0
100 + 8D + 6E + F = 0
8D + 6E + F = -100 Equation ll
For R
(7)² + (-1)² + 7D - E + F = 0
49 + 1 + 7D - E + F = 0
50 + 7D - E + F = 0
7D - E + F = -50 Equation lll
Solve the system of equations, I do not include the process but the solutions are
D = -8 E = -6 F = 0
-Substitution
x² + y² - 8x - 6y = 0