Carlos pays $25 for skis and borrows the remaining amount. The loan payments are $75 every 3 months for 1/1/2 years. The interes
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The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is
The equation is a secant function represented by
Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:
The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:
Simplify
Substitute values for A and B in
Rewrite as a function
Hence, the equation that represents the distance between the center of the circle and the light source is
Read more about trigonometry functions at:
Answer:
x =
Step-by-step explanation:
If both the triangles ΔABC and ΔBCD are congruent,
Corresponding sides of both the triangles will be proportional.
5x(4x + 3) = (5x - 2)(3x + 10)
20x² + 15x = 15x² + 50x - 6x - 20
20x² + 15x = 15x² + 44x - 20
20x² - 15x² = 44x - 15x - 20
5x² = 29x - 20
5x² - 29x + 20 = 0
5x² - 25x - 4x + 20 = 0
5x(x - 5) - 4(x - 5) = 0
(5x - 4)(x - 5) = 0
Answer:
The correct answer is 63 cubic inches.
Step-by-step explanation:
Dali rolled up his painting and placed it in a cylinder 2 inches diameter.
Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.
Radius of the cylinder is 1 inch.
Length of the cylinder is 20 inches.
Volume of the cylinder is given by π × × h = π ×
× 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.
Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.