Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 24 = π*(h/3)^2*h
.. 24 = π/9*h^3
.. 9*24/π = h^3
.. ∛(216/π) = h
.. h = (6/π)√(π^2) ≈ 4.097 . . . . units
The height of the cylinder is about 4.097 units.
Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>
The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
- c = x = ?
- a = 4.0 cm
- b = 4.7 cm
- C = 41°
Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
Learn more about the cosine rule on:
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Answer:
x = 6
y = 7
a = 1/4
Step-by-step explanation:
Equation 1:
2(3x+2) = 2x + 28
6x + 4 = 2x + 28
4x = 24
x = 6
Equation 2:
5y+13 = -43-3y
8y = -56
y = -7
Equation 3:
8a + 8 = 16 - 24a
32a = 8
a = 1/4
