Answer
Formula
where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm
= 8.15 cm
Put in the formula
As
= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
The length of AB is 78 units.
<h3>What is a Line Segment?</h3>
A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure is given below shows a line segment AB , where the length of line segment AB refers to the distance between its endpoints, A and B.
Given that C is the midpoint of AB
AC = 8x - 1 and BC = 4x + 19,
A______________C______________B
⇒ AB = AC+ BC
Since C is the bisects of AB, So AC = BC
⇒ AB = AC+ BC
⇒ AB = 2AC
Substitute the values of If AC = 8x - 1 and BC = 4x + 19,
⇒ 8x - 1 = 4x + 19,
Rearranging the terms in the above equation,
⇒ 8x - 4x = 1 + 19,
⇒ 4x = 20,
⇒ x = 20/4,
⇒ x = 5
So AB = 2AC
⇒ AB = 2(8x - 1) = 16x -2
Substitute the value of x = 5 in the above equation,
⇒ AB = 16(5) -2
⇒ AB = 78
Hence, the length of AB is 78 units.
Learn more about the line segment here:
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First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
Given:
The table of values.
To find:
The y-intercept of the given function.
Solution:
The table of values represents a linear function because the rate of change is constant.
Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is
Adding 15 on both sides, we get
Putting x=0, we get
The y-intercept is 9. Therefore, the correct option is C.
