Answer:
80 cm²
Step-by-step explanation:
Trapezoid LPKB has area ...
A = (1/2)(b1 +b2)h = (1/2)(4 +20)(20) = 240 . . . . cm²
Triangle BPN has area ...
A = (1/2)bh = (1/2)(20)(20) = 200 . . . . cm²
Triangle BKN has a height that is 4/5 the height of triangle BPN, so will have 4/5 the area:
ΔBKN = (4/5)(200 cm²) = 160 cm²
The area of quadrilateral LPKB is that of trapezoid LPNB less the area of triangle BKN, so is ...
240 cm² - 160 cm² = 80 cm²
Answer:
Step-by-step explanation:
Part A
In applying the synthetic division, the polynomial would be fully expressed as
2x³ + 0x² + 5x - 6
The coefficients are 2, 0, 5 and - 6
The working becomes
2| 2 0 5 -6
4 8 16
2 4 13 10
The student that correctly used synthetic division to find f(2) is Claudia
Part B
The value of f(2) is
2(2)^3+5(2) - 6
= (2 × 8) + 10 - 6
= 16 + 10 - 6 = 20
Part C
x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.
Part D
The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem
Answer:
person b because the person has $89 so the person can get any meal
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Determine fraction of each teacher
Each fraction is calculated by dividing total fraction by number of teachers as follows:
