Answer:
y=5 when x=20
Step-by-step explanation:
Using the format for inverse proportions: y=k/x
To find k, substitute 25 in for y and 4 for x to find:
25=k/4 ⇒ k=100
Using this we can substitute k and x in for 100 and 20 to find:
y=100/20 ⇒ y=5
Answer:
sqrt(13^2)
Step-by-step explanation:
this is the radical form of 13^(5/2)
The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm
