Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = 
=
dividing π by both sides:


using square root on both the sides:

So, the radius is 
Now, putting the formula of circumference:

=
=
putting the value of π =3.14
=
=
=
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
A) x + y = 110
x - y = 40
B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
Answer:
y= x/2-3
Step-by-step explanation:
Answer:∠1 and ∠5
Step-by-step explanation:
(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.
(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.
(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.
(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.