The equation x2 - 3x = 22
1 answer:
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Area of semicircle = 1/2 the area of a circle:
radius is half the diameter of 6ft.
Area of the rectangle:
Add the two together:
90 + 14.13 = 104.13
Round to the nearest tenth (one decimal place)
Area = 104.1 square feet.
radius is half the diameter of 6ft.
Area of the rectangle:
Add the two together:
90 + 14.13 = 104.13
Round to the nearest tenth (one decimal place)
Area = 104.1 square feet.
Answer:
Step-by-step explanation:
Given , start by squaring both sides to work towards isolating
:
Recall and
:
Isolate the radical:
Square both sides:
Expand using FOIL and :
Move everything to one side to get a quadratic:
Solving using the quadratic formula:
A quadratic in has real solutions
. In
, assign values:
Solving yields:
Only works when plugged in the original equation. Therefore,
is extraneous and the only solution is
Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude = 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).