Aaron is painting all 4 walls of his room. each wall is 8 feet by 12 feet. one wall has a 4 foot by 5 foot window and one wall has a 3 foot by 7.5 foot door. neither of these will be painted. aaron only wants to paint one coat on each wall. he learns that each gallon of paint will cover 125 ft2. he can only buy entire gallons of paint. how many gallons of paint will he need? a) 1 b) 2 c) 3 d) 4

there are 4 walls which means (8*12)*4-(3*7.5)-(4*5) is the total amount needed to be painted

(8*12)*4-(3*7.5)-(4*5)=341.5

341.5/125=0.276

0.276≈1 so the ans is A) 1

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft