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Step-by-step explanation:
The period of f(x) is π.
To calculate the period using the formula derived from the basic sine and cosine equations. The period for function y = A sin (B a – c) and y = A cos ( B a – c ) is equal to 2πB radians. The reciprocal of the period of a function is equal to its frequency.
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
you do not give a value for PI so I am using 3.14
V=PI x r^2 x H
you know volume and radius so put those into the equation
525 = PI (3.14) x 5^2 x H
525 = 3.14 x 25 x H
525 = 78.5 x H
divide both sides by 78.5
6.687 = H
round off answer as needed 6.7cm or 6.69cm
NOTE : the answer may vary slightly depending on the value of PI used.
but this is how you calculate the height.