Answer:
The area of the circle is 28662 M².
Step-by-step explanation:
Given:
Circumference of circle = 600 M.
Now, to find the area of the circle.
So, <em>to get the area we need to find the radius.</em>
By putting the formula of circumference we get the radius:
Let the radius be r.
Circumference = 2πr
(taking the value of π = 3.14.)
Dividing both sides by 6.28 we get:
Now, <em>for getting the area we put the formula:</em>
Area = πr²
So, <u><em>approximately the area of the circle = 28662 M²</em></u>.
Therefore, the area of the circle is 28662 M².
<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
<em />
<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
<em />
<em>b is negative, so −b is positive.</em>
<em />
<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
<em />
<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
<em />
<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
The length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
<h3>What is a distance formula?</h3>
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
We have two points C(0, 3) and D(0, 8)
The distance between these two points:
d = √(8-3)²
d = 5 units
The length of the image of segments CD = dilation factor×length of CD
= 2×5
= 10 units
Thus, the length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
Learn more about the distance formula here:
brainly.com/question/18296211
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Answer:
26.2 inches cubed
Step-by-step explanation:
The volume of a cone is denoted by: 
, where r is the radius and h is the height.
Here, we are given that the diameter is 5. Remember that the radius is simply 1/2 the diameter, so the radius is r = 5/2 = 2.5. We are also given that the height is h = 4. Plug these into the equation:
≈ 26.2
Thus, the volume is about 26.2 inches cubed.
Hope this helps!
Answer:
y=-1/5 x +7/5
Step-by-step explanation:
First lets find the slope of the line containing the points (2,3) and (1,-2) by using the equation for slopes m1 = (y2 - y1) / (x2 - x1),
Which results in m1=5
If two lines are perpendicular, then their slopes must satisfy the following condition
m1*m2=-1
So, our new line must have the following slope (m2): m2*m1=1, if m1=5, then m2=-1/5
The line passes through P(-3,2)
Remember that the equation for a line is given by the following:
y=mx+b
if we eval P inside that equation, with m=-1/5
we have b.
2=-1/5*-3 +b
b=2-3/5
