Answer:
it is c
Step-by-step explanation:
The formula for the radius r in terms of x . and for the maximum areas is x=2/
+4
Given that,
y forms a circle of radius r
y=2
r
r=y/2![\pi](https://tex.z-dn.net/?f=%5Cpi)
(2-y)- forms Square Side x
(2-y) = 4x
x=(2-y)/4
Now Sum of Area's=Area of Square +Area of Circle
Sum =
r² + x²
Substitute the r and x values in above equation,
A(y)= y²/4
+(y-2)²/ 16
To maximize Area A(y)
A'(y)= 0
2y/4
+ 2(y-2)/16 =0
y/2
+ (y-2)/8 =0
y = 2
/
+4
Y max will be max, x to be maximum.
for maximum sum of areas,
x=2/
+4
Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/
+4
Learn more about Area :
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Answer:
C; D; E
Step-by-step explanation:
✔️Angles in a straight line = 180°
Therefore, m<5 + m<6 = 180° is correct.
✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.
Therefore,
m<2 + m<3 = m<6 is correct.
✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.
Answer:
commutative property
Step-by-step explanation:
commutative property states that number on we operate can be moved or swapped from their position without making any change to their answer.