Answer:
Perimeter of sector is 47.93 cm which is greater than 47.5 cm
Step-by-step explanation:
Mathematically, the perimeter of a sector is length of the arc plus 2 radii
The length of the arc is;
theta/360 * 2 * pi * r
where theta is the angle subtended by the arc at the center of the circle
Thus, we have
135/360 * 2 * 22/7 * 11 = 25.93
Add 2 radii = 25.93 + 2(11) = 47.93 cm
This is greater than what we are asked to calculate and thus we have shown what we are asked to show
The correct answer is option A
A) Equation 1 and equation 2 have no solutions
For the equation 1
l 3x-1 l +7=2
l 3x-1 l = 2-7 =-5
The absolute value should be positive
So, there is no solution
For the equation 2
l 2x+1 l +4 = 3
l 2x+1 l = 3 - 4= -1
The absolute value should be positive
So, there is no solution
The answer to this is 180.
Answer:

Step-by-step explanation:
First of all we need to know the relation between 1 dollar and 1 cent in order to express everything in the units required in the question.
We know that
, so the amount paid for the item with single dollars has to be multiplied by 100 to express its value in cents.

Now that we have everything in cents, we can make the subtraction:

Replacing the value in cents we get:

8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.
There are 8 pigs and 2 ducks.