Pi() is the ratio of circumference to diameter for any circle.
Perimeter is the distance around a circle.
Circumference of circle .
Perimeter of circle
What is circle ?
A circle is a spherical shape without boundaries or edges.
A circle is a closed, curved object with two dimensions in geometry.
Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.
For smaller values of θ, the arc length AB is almost equal to the length of the line segment . Similarly, arc CD ≅ .
Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.
Circumference = diameter or circumference = 2 radius if this constant equals some value.
So it was proved.
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Answer:
30 = 5y - 4x or 6 + (4x/5) = y (in mx + c = y form)
Step-by-step explanation:
slope =
- / -
now, = 2
= -5
insert the values of these two in the slope formula and equate it with 4/5.
by cross multiplication, obtain equation.
the equation is 30 = 5y-4x.
hope this helps you!
Answer:
ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Step-by-step explanation:
It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.
If a figure is dilated then preimage and image are similar.
If scale factor is between 0 to 1, then preimage is reduction of image.
If scale factor is more that 1, then preimage is enlargement of image.
If scale factor is 1, then preimage is congruent to the image.
We know that
So,
Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
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Answer:
25.5 years
Step-by-step explanation:
The multiplier for continuous compounding at annual rate r for t years is ...
e^(rt)
You want the value of t when that is 3 and r=0.043.
3 = e^(0.043t)
ln(3) = 0.043t
t = ln(3)/0.043 ≈ 25.549 . . . . years
Answer:
n=10
Step-by-step explanation:
The given equation is
...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
...(2)
From (1) and (2), we get
Splitting middle term, we get
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
Sixth term is 20. So,
Therefore, the value of n is 10.