Answer:
Step-by-step explanation:
Given
The x and y values
Required
Determine the constant of proportionality
This is calculated from:
Pick any corresponding x and y values:
and 
Substitute 8 for x and 2 for y in
Make r the subject
Pick another x and y values:
and 
<em>Hence, the constant of proportionality is 1/4</em>
Answer:
arc DB length = 14π feet
Step-by-step explanation:
Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:
arc DB = 140° = 140°(π/180°) radians
__
Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...
s = rθ
where r represents the radius and θ is the measure of the arc in radians.
The arc length is ...
s = (18 ft)(7π/9) = 14π ft
Arc DB has a length of 14π feet.
Answer:
6 / 42 and 9 / 63
Step-by-step explanation:
3 / 21 x 2 is 6 / 42
3 / 21 x 3 is 9 / 63
Answer:
True.
Step-by-step explanation:
The arcs subtend the same equal angles at the center of the circle, i.e ∠YOZ=∠WOX= 27°. They are also bound by radii. All radii of the same circle are equal thus he two arcs are equal in length. OY= WO= XO= OZ
Therefore the two arcs wx and yz are congruent
