Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic
10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)
Final Answer: 10
<h3>
Answer: 300 square feet</h3>
Explanation:
The trapezoid has area of
A = h*(b1+b2)/2
A = 6*(10+18)/2
A = 84
The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.
Adding the two sub-areas gets us: 84+216 = 300
The total area of the house-shaped figure is 300 sq ft.
The correct answer is option D.which is -4 ≤ x ≤ 1.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.
Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.
To know more about graphs follow
brainly.com/question/25020119
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I'd say (a) = 52.5 minutes or 52 minutes and 30 second
(b) = 45 minutes