Answer:
48∛9 ft²
Step-by-step explanation:
Data
The area of the rectangular region is computed as follows:
area = length * width
area = 4 ∛24 * 6 ∛3
area = 4*6* ∛(24*3)
area = 24 * ∛(2³*3*3)
area = 24 * 2∛9
area = 48∛9 ft²
The answer to your problem would be 38/ 45.
<h3>Given</h3>
S = πr√(r^2+h^2)
h = 8 m (constant)
<h3>Find</h3>
An approximation of S when r changes from 9 to 8.9
<h3>Solution</h3>
Such an approximation is usually made by estimating the change using the first derivative. That derivative with respect to r is
... S' = π√(r^2+h^2) + πr(1/2·r)/√(r^2+h^2)
... S' = π(2r^2 +h^2)/√(r^2 +h^2) . . . . . use a common denominator
For r=9, h=8, this is
... S' = π(2·81 +64)/√(81+64) = 226π/√145 ≈ 58.96
Then the change in lateral surface area will be approximately
... ∆S ≈ (∆r)·S' ≈ (-0.1)·(58.96) ≈ -5.90 . . . m²
Answer:
Step-by-step explanation:
You can’t just substitute 0 for θ. 0 is a constant, not a variable.
secθ = -13/5
cosθ = 1/secθ = -5/13
sin²θ = 1 - cos²θ = 144/169
sinθ = -12/13
cscθ = 1/sinθ = -13/12
tanθ = sinθ/cosθ = 12/5
cotθ = 1/tanθ = 5/12
Answer:
141
Step-by-step explanation:
141