9514 1404 393
Answer:
π square inches
Step-by-step explanation:
The area of the whole circle is ...
A = πr²
A = π(2 in)² = 4π in²
A 90° sector is 1/4 of the circle, so its area is ...
(1/4)(4π in²) = π in²
Yea, -7 is the correct answer
Answer: the shaded region = 69.66mm^2
Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle
Find area of square:
Side length = 18mm
Area = 18 x 18 = 324
Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34
Now find X
X = 324 - 254.34 = 69.66
Answer:
C. 19
Step-by-step explanation:
If you arrange the numbers in ascending order, the middle number is 19.
given a polynomial with factor (x - a)
Then x = a is a root of the polynomial and f(a) = 0
(1)
(x+ 2) is a factor , hence x = - 2 is a root
Evaluate the polynomial for x = - 2
f(- 2) = 5(- 2)³ + 8(- 2)² - 7(- 2) - 6 = - 40 + 32 + 14 - 6 = 0
Hence (x + 2 ) is a factor
(2)
If (x + 1) is a factor then x = - 1 is a root
5(- 1)³ + 8(-1)² - 7(- 1) - 6 = -5 + 8 + 7 - 6 = 4
Since f( - 1) ≠ 0
Then (x + 1) is not a factor
