Answer:
A. 3R > 14
Step-by-step explanation:
Here R = 4.6
Now we have to check each options and find which is true.
3R > 14
Dividing both sides by 3, we get
R > 14/3
R > 4.67
Which is true.
All other options are not true.
R + 32 >
R > -32 is not true.
R - 12 < -8
R < +4 is not true.
R/3 < 1
R < 3 is not true.
Hope this will help you.
Answer
Find out the value of x.
To prove
By using the trignometric identity
As given in the diagram.
Perpendicular = x
Hypotenuse = 6
Put in the above identity
Put in the above
x = 4.6 cm (Approx)
Therefore Option (c) is correct .
Answer:
6 square root of 2
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 45 = 6/x
Multiply by x
x sin 45 = 6
Divide by sin 45
x sin 45/ sin 45 = 6 / sin 45
x = 6/ sin 45
x = 6/ (1/sqrt(2))
x = 6 sqrt(2)
Answer:
± 4i
Step-by-step explanation:
= 
= 
× ×
= 4i → [ = i ]
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
