Formula for perimeter ;
P = length + length + width + width
P = 2l + 2w
l = -4 + 5w
l = 5w - 4
substitute into equation of perimeter
292 = 2(5w - 4) + 2w
292 = 10w - 8 + 2w
292 + 8 = 10w + 2w
300 = 12w
25 = w
substitute into eqution to find the length;
l = 5(25) - 4
l = 125 - 4
l = 121
therefore, the width is 25 and the length is 121
hope that helps, God bless!
Answer:
4
Step-by-step explanation:
The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...
(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0
Thus, there are also an integral number of weeks in 400 years.
The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.
Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
