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)
The increase is $5000-$4000=$1000. The ratio of this increase to the original price is
$1000
-------- = 1/4 (no units of measurement here)
$4000
Answer:
48.
Step-by-step explanation:
33 + 15 = 48.
You can check your answer by subtracting 48-15, which gives you 33.
I can’t type it out but the equation is Pi(radius)^2
112 m³
the solid is a rectangular pyramid with volume (V)
V =
× area of base × height =
× (8 × 4.2 ) × 10 = 112 m³