Answer:
265.1 units²
Step-by-step explanation:
Area of circle:
3.14 × 12²
452.16
Side of the triangle:
s² = 12² + 12² - 2(12)(12)cos(120)
s² = 432
s = 12sqrt(3)
Area of triangle:
½ × s × s × sin(60)
½ × 432 × sqrt(3)/2
187.0614872
Shaded area:
452.16 - 187.0614872
265.0985128 units²
The two linear equations represented in system A as :
3 x + 2 y =3 -------(1)
- 2 x - 8 y = -1 ------(2)
(1) × 2 + (2) × 3 gives
⇒ 6 x + 4 y - 6 x - 24 y = 6 -3
⇒ - 20 y = 3
⇒ y = 
Putting the value of y in equation (1), we get

Two linear equation represented in system B is:
3. -x - 14 y =1
4. - 2 x - 8 y = -1
-2 ×Equation (3) + Equation (4)=
2 x +28 y- 2 x - 8 y= -2 -1
⇒ 20 y = -3
⇒y =
Putting the value of y in equation (3),we get

As Two system , that is system (A) and System (B) has same solution.
By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Answer:9
Step-by-step explanation:
8 * 9 = 72
8, 16, 24, 32, 40, 48, 56, 64, 72
1, 2, 3, 4, 5, 6, 7, 8, 9
Answer:
The answer is A
Step-by-step explanation: