Answer:
Step-by-step explanation:
The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.
The formula for determining the the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circular floor.
π is a constant whose value is 3.14
From the information given,
Diameter = 111 feet
Radius = diameter/2 = 111/2 = 55.5 feet.
Area of park = 3.14 × 55.5² = 9671.985 feet²
If each bag of fertilizer covers 50 square feet, then the number of bags needed is
9671.985/50 = 193.44 bags
Answer: 3419.46
Step-by-step explanation: A=3.14xR^2. To get radius, half your diameter to be 33. 3.14x33^2
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
==============================================================
Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
--------------------------
The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
---------------------------
Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
Reflection across the y-axis