Answer:
.3
Step-by-step explanation:
Answer:
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
Step-by-step explanation:
The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.
Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.
Lateral surface area = PH
P = perimeter of the side
H = height
perimeter = (2L + 2W)
where
L = length
W = width
L = 6 ft
W = 5 ft
perimeter = (2L + 2W)
perimeter = (2 × 6 + 2 × 5)
perimeter = (12 + 10)
perimeter = 22 ft
Lateral area = 22 × 2
Lateral area = 44 ft²
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
