Answer:
47.3 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
180 - 42.7 - 90 = N
N = 47.3 degrees
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Answer: -5.8x-2.9
Step-by-step explanation:
Hi, to answer this we will use the distributive property:
The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.
(2x + 1) (3.1 – 6)
(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])
6.2x-12x+3.1-6
-5.8x-2.9
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478 lbs used in 1 week......478 x 4 = 1912 lbs used in 1 month
1912/18 = 106.22 packages of paper per month
Let the width = x
The length would be 4x-27
Area = length x width
2790 = (4x-27) * x
Expand:
2790 = 4x^2 - 27x
Subtract 2790 from both sides:
4x^2 - 27x - 2790 = 0
Use the quadratic formula to solve for the positive value of x:
X = -(-27) + sqrt(-27^2 -4*4(-2790)) /(2*4)
X = 30
Now replace x with 30 in the lengths:
Width = x = 30 inches
Length = 4x -27 = 4(30) -27 = 120-27 = 93 inches