the first answer is D and the second is C
Step-by-step explanation:
The first question you just move to the next point the second a translation doesn't mirror it but it does move it so its C because it slides
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)
Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
1/3 = 10/30
1/5 = 6/30
1/2 = 15/30
10+6+15= 31/30
31/30 = 1 1/30
It would be Less Than 1 1/2 Gallons
