Answer:
The correct answer is Option 1: s = 4/9pi feet
Step-by-step explanation:
Given that
The radius of circle is 8 feet
r = 8
Central angle is:10°
The arc length is denoted by s and is calculated by the formula:
Here x is the central angle
Putting the known values we will get:
The arc length is 4/9 pi feet.
Hence,
The correct answer is Option 1: s = 4/9pi feet
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The
reason column will typically include "given", vocabulary definitions, and theorems.
Therefore, w<span>hat can be used as a reason in a two-column proof are:
Postulates
Definitions</span>
Answer:
Step-by-step explanation:
The trick here is to make sure that the units are standard units, like miles / hour.
10 minutes = 10 / 60 hours.
k = 1/6 of an hour
y = k x
k = y/x
k = 8 miles / 1/6 of an hour
k = 8 * 6 // 1/6 * 6
k = 48 miles / hr
y = k x
y = 48 * x
Answer:
a)
b)
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is , where is the rate of salt entering and is the rate of salt going outside.
Then we have, , and
So we obtain. , then
, and using the integrating factor , therefore , we get , after integrating both sides , therefore , to find we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions , so
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of , due we have 500 L to overflow , so we can evualuate the expression of a) , is the salt concentration when the tank overflows