The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2
Answer:
Inverse Function: f^-1(x) = 9/4x + 9
Step-by-step explanation:
To find the inverse function we can interchange the position of the variables x and y, and then solve for y;
y = 4/9x - 4 => x = 4/9y - 4,
x = 4/9y - 4,
4/9y = x + 4,
y = 9/4x + 9/4(4),
y = 9/4x + 9/ f^-1(x) = 9/4x + 9
Answer:
The graph of f(x) is shifted k units to the right of the graph of g(x).
Step-by-step explanation:
Given the function and where k <0.
As, horizontal depends on the value of x and are when
g(x)=f(x+h) graph shifted to left.
g(x)=f(x-h) graph shifted to right.
Now, given
But here k is negative, when k is considered positive then f(x) becomes
⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).
Correct option is B.
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