Radian measure is given by dividing the length of an arc by the radius of a given circle. Such that an arc that subtends an angle of 1 radian to the center of a circle is equivalent to the radius of the circle.
Therefore; θ = s/r where θ is the angle subtended in radians, s is the length of the arc and r is the radius of the circle.
Hence; r = s/θ
= 12π ÷ (4π/7)
= 12 × (7/4)
= 21 inches
Based on the task content; If you multiply both sides of an inequality by a negative number, the inequality symbol should be reversed always. Option B
<h3>Multiplication of inequality</h3>
Based on the rule of inequality, whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
For instance,
-4x > 12
divide both sides by -4
x < 12/-4
x < -3
If you multiply both sides of an inequality by a negative number, the inequality symbol should be reversed always.
Learn more about inequality:
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Answer:
Length = 9 inches
Width = 13 inches
Step-by-step explanation:
Since width is 4 inches more than the length, we can let length be x, and so width would be x + 4
So we can say;
Perimeter = 2(L + W)
44 = 2{ (x) + (x+4) }
44 = 2 (2x + 4)
44 = 4x + 8
44 - 8 = 4x
36 = 4x
36/4 = x
9 = x
Since Length = x, length = 9
and since width = x + 4, width = 9 + 4 = 13
Hope this helps!
Answer: 4ab^2 +20b - 3 -3a
Combine like terms.
Combine ab, b, a terms for #1
Combine x^3, x^2, x terms for #2
