Answer:
The area of the sidewalk is 144.44 m².
The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.
Since the radius is half the diameter, r = 25/2 = 12.5.
The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².
The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.
The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.
<em>Have a Great Day!</em>
32.92 next is 27 last is 230
Answer:
The coordinate of the vertex of the parabola is (h,k) = (3,20)
Step-by-step explanation:
The given equation of the parabola is 
Now, the General Parabolic Equation is of the form:
, then the vertex is the point (h, k).
Now, to covert the given equation in the standard form:

Using the COMPLETE THE SQUARE METHOD,

or
⇒The general formed equation of the given parabola is

Comparing this with general form, we get
h = 3, k = 20
Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)
Answer:
1.benchmark fractions
2. equivalent fractions
Step-by-step explanation:
Hope it helps!
Answer:
The estimate of In(1.4) is the first five non-zero terms.
Step-by-step explanation:
From the given information:
We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)
So, by the application of Maclurin Series which can be expressed as:

Let examine f(x) = In(1+x), then find its derivatives;
f(x) = In(1+x)

f'(0) 
f ' ' (x) 
f ' ' (x) 
f ' ' '(x) 
f ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' ' ' (x) 
f ' ' ' ' ' (x) 
Now, the next process is to substitute the above values back into equation (1)



To estimate the value of In(1.4), let's replace x with 0.4


Therefore, from the above calculations, we will realize that the value of
as well as
which are less than 0.001
Hence, the estimate of In(1.4) to the term is
is said to be enough to justify our claim.
∴
The estimate of In(1.4) is the first five non-zero terms.