Answer:
X^2+y^2=36
Step-by-step explanation:
If a circle is centered at the origin, and the length of its radius is 6, the circle's equation is X^2+y^2=36.
Radius = 6
Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.
Let's consider the length of rectangle = L and width of rectangle = W.
We know the following formulas for rectangle :-
Perimeter = 2 x (L + W)
Area = L x W
So we have 2 x (L + W) = 54 and L x W = 176.
L + W = 27 and L x W = 176
We need to find two positive integers such that their sum is 27 and product is 176.
Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.
So, the dimensions of rectangle would be 11cm x 16cm.
Hence, option A is correct i.e. 11 cm by 16 cm.
Answer:
1/2 of farm land left.
Step-by-step explanation:
Ok so we know that Chef Ollie has a community garden. And that she uses
of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another
of the farmland to grow kale.
Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.
Step 1: Write down important numbers.
,
,
Step 2: Add those numbers together.
or 
Step 3: Write an expression/equation.

Step 4: Solve
= 
(can be written both ways)
And you get your answer: After Chef Ollie has used
to grow beets and
to grow kale, she has
of her farmland left untouched.
To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.
You are welcome ;) .