The answer is [-4,6)
Graph both the you can easily find the answer
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.
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
101 with a remainder of 12
Note:
Do the square first, and then you do mathematic operation between the parentheses. And, then do the
mathematic operation in the outside of parentheses.
Thank you.
