Answer:
{x| x≤ 1/2 or x ≥ 3/4}
Step-by-step explanation:
The values of x that make the factors zero are 3/4 and 1/2. The product of these factors will be positive when both factors are negative (for x < 1/2) or when both factors are positive (x > 3/4). The matching answer selection is the third one.
The question is set up oddly, but if they mean that one of the interior angles of a triangle measures 52degrees, what is the measure of its exterior angle, the you’d do the following: 180 (since they would form a linear pair) - 52 = 128 degrees.
Answer:
The area of the pentagon is approximately 21 square units
Step-by-step explanation:
The radius of the circle in which the regular pentagon is inscribed, r = 3
The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;
A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)
Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈ 21
The area of the pentagon, A ≈ 21 square units.
Here is what I got for the first one. MAD=
1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|)
=1/5(|85-83|+|83-83|+|87-83|+|90-83|+|70-83|)
=1/5(2+0+4+7+13))
=5.2
And for the second one I got, MAD=
1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|)
=1/5(|75-76|+|74-76|+|68-76|+|83-76|+|80-76|)
=1/5(1+2+8+7+4))
=4.4
