The coordinates midpoint of AB are (1,2)
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Hey there!
We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.
First, we need to undo the area to find our radius.
113.04/3.14=36
We square root this to find the radius.
√36=6
Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.
6*2=12
12*3.14=37.68
Therefore, we will need 37.68 feet of trim to around the edge of the quilt.
I hope this helps!
Answer:
22,203 ft^2
Step-by-step explanation:
The area of a triangle with angle ∅ and two sides a and b is;
Area A = 1/2 × absin∅ ......1
The park is in the shape of a triangle, with two sides and an angle given;
Given;
a = 190 ft
b = 235 ft
∅ = 84°
Substituting the values into equation 1;
Area of the park;
A = 1/2 × 190 × 235 × sin84°
A = 22,202.70131409 ft^2
A = 22,203 ft^2 (to the nearest whole number)
Area of the park is 22,203 ft^2
Given:
To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator
Step 2: Simplify the denominator
Step 3: Using step 1 and step 2
Step 4: Using fraction rule:
Cancel the common factor r and t², we get
Cancel the common factors 16 and 3 on both numerator and denominator.
The simplified fraction is 
.
