Step-by-step explanation:
[ Refer to the attached file ]
( Slide to refer all files )
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• To solve Questions of type 11 we need to simplify the equation by using mathematical operations !!
• To solve Questions of type ( 13 , 15 and 17 ) we try to make the bar numeral to come other side of decimal
° and by subtracting we get the required fraction !!
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Answer:
Step-by-step explanation:
c.d. d=8-3=5
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
For this type of question, you just need to multiply the percentage with the number
so, the calculation would be
47.2% x 300
47.2/100 x 300
47.2 x 3
= 141.6
Initial velocity of John's car (V1) = 0 miles per hour
Final velocity of John's car (V2) = 45 miles per hour
Time taken for acceleration = 45 seconds
Then
Acceleration = (V2 - V1)/Time taken
= (45 - 0)/15 miles per hour per second
= 45/15 miles per hour per second
= 3 miles per hour per second.
So the approximate rate of change in the miles per hour that John's car accelerated is 3 miles per hour per second. The correct option among all the options given in the question is option "A".