Answer:
The measure of each interior angle of the dodecagon is 150 degrees.
Step-by-step explanation:
(n - 2) x 180 = 1800 Use the equation to find the number of sides
n - 2 = 10 Divide by 180 on both sides
+ 2 + 2 Add 2 to both sides
n = 12
Take the sum of the interior angles divided by the number of sides to find the measure of each angle
1800/12 = 150 degrees for each angles of the dodecagon.
Answer:
Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)
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A Twelve less than three times a number is greater than or equal to nine.
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B Twelve less than three times a number is at least nine.
C Twelve less three times a number is at least nine.
D Twelve minus the product of three and a number is no more than nine.
E Twelve less three times a number is at most nine.
F Twelve minus the product of three and a number is no smaller than nine.
G Twelve minus the product of three and a number is larger than nine.
Step-by-step explanation:
12 - 3x>=9
Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
Answer:
4/12
Step-by-step explanation:
