Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
Answer:
Between
1
and
50
, we have following numbers as composite.
{
4
,
6
,
8
,
9
,
10
,
12
,
14
,
15
,
16
,
18
,
20
,
21
,
22
,
24
,
25
,
26
,
27
,
28
,
30
,
32
,
33
,
34
,
35
,
36
,
38
,
39
,
40
,
42
,
44
,
45
,
46
,
48
,
49
}
Total
33
composite numbers.
Step-by-step explanation:
Composite numbers are those which have
3
or more factors:
Prime numbers are those which have exactly
2
factors:
There are more composite numbers than prime numbers, (can you explain why this is so?)
So it will be easier to count the prime numbers and subtract them.
There are
50
numbers FROM
1
to
50
Therefore there are
48
numbers BETWEEN
1
and
50
. which are excluded.
There are
15
prime numbers less than
50
, which are:
2
,
.
3
,
.
5
,
.
7
,
.
11
,
.
13
,
.
17
,
.
19
,
.
23
,
.
29
,
.
31
,
.
37
,
.
41
,
.
43
,
.
47
Therefore there are
48
−
15
=
33
composite numbers between
1
and
50
.
It's D) or number 4.
the - outside the square means it will reflect across the X axis and +8 means opposite and it'll go -8 units to the left
First let's assume that the table contains points on a straight line. Then all we have to do is to determine the slope of that line.
Suppose we go from (0,3) to (7,-28.5).
-28.5-3 -31.5
Then the slope, m, is m = ------------- = ---------- = - 9/2, or - 4.5.
7-0 7
Let's check this result!
Suppose that y = mx + b governs the relationship between x and y.
Then y = -4.5x + b
suppose we find b by substituting the coordinates from the point (0,3):
3 = -4.5(0) + b
Then b = 3, and y = -4.5x + 3. Does the point (-2,12) satisfy this equation?
Does 12 = -4.5(-2) + 3? Does 12 = 9 + 3? YES.
So y = -4.5x + 3 is the equation from which these points came, and the rate of change of y with respect to x is the slope m = -4.5, or m = -9/2.