Answer:
r = radius of circle
Step-by-step explanation:
The circumference of a circle is given by :
C = 2πr
Where
r is the radius of the circle
In this problem, we need to say that what does r represents in the given formula. It means we can say that r stands for the radius of the circle.
Answer:
(2, 9 )
Step-by-step explanation:
A translation of 4 units left is equivalent to subtracting 4 from the value of the x- coordinate, that is
(6, 9 ) → (6 - 4, 9 ) → (2, 9 )
Answer:
length = 9, width = 7
Step-by-step explanation:
length = l, also w+2 width = w
perimeter = 2w + 2l
create an equation: 32 = 2(w) + 2(w+2)
simplify
32 = 2w+2w+4
32 = 4w+4
28=4w
w=7
solve for length
l = w+2
l=7+2
l=9
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
Answer:
Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
Step-by-step explanation:
Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:
If order matters =
(4 x 3 x 2 x 1) / 2 = X
24/2 = X
12 = X
If the order doesn't matter =
12/2 = X
6 = X
Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
