Answer:
A. P - Q
Step-by-step explanation:
Q(x) = (x³ + 2x² + 3)(x² -2)
= x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6
P - Q = (x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6) - (x⁴ + 3x³ + 2x² - x + 2)
P - Q = x⁵ - x⁴ + 2x⁴ - 3x³ - 2x³ - 2x² - 4x² + 3x² + x - 2 - 6
P - Q = x⁵ + x⁴ - 5x³ - 3x² + x - 8
A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle =
(where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²