Answer:
Inequaliy: 2x-3(12)>60
X>48
Step-by-step explanation:
Since area of a rectangle is W(L)=A
The inequality given right here including length And width and area Plugged in would be
2x-3(12)>60. (It’s >60 because the area stated in the problem said to be greater then 60 so we put a Greater then sign)
Combine like terms and solve
2x-36>60
Add 36 on both sides
2x>96
Divide 2 on both sides to isolate variable
x>48
Check:
2(50)-36>60 ( I used 50 because it’s greater then 48 and it’s a easy number to work with for just a check)
solve:
100-36>60
64>60✔️
There is infinite amount of numbers between them. Three numbers, for example, are 5.891 ;5.892 ;5.894
1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1) 16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
+ ¹/₃n + ¹/₃n
4n² - 7²/₃n + 30 = 1¹/₃n³
-1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
-3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
4n³ - 12n² + 23n - 90 = 0
Step-by-step explanation:
Sum of angles in a triangle = 180°.
=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°
=> 9/7 * s° = 180°
=> s° = 180° * (7/9) = 140°
Hence the value of s is 140.
= (cos2x+1)(cos2x+1)/4