C=2πr
To solve for r, divide both sides by 2π
r = C / 2π
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Answer:
(x + 6)(x-4) = -16
x² + 2x -24 = -16
x² + 2x - 8 = 0
(x + 4)(x-2) = 0
x = - 4 or x = 2
Step-by-step explanation:
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of sinθ can be written as (15/17).
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,
Hypotenuse = √(15²+8²) = 17 units
Further, the value of sinθ can be written as (15/17).
Learn more about Sine:
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Answer: radius = 3.61 cm
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 299 cm³
Height = 7.3 cm
Therefore,
299 = 3.14 × r² × 7.3
299 = 22.922r²
r² = 299/22.922 = 13.044
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 3.61 cm