1 yard = 3 feet
25 yards = 3 x 25 feet = 75 feet
They are teh same
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
B, irrational
Step-by-step explanation:
We know that π is irrational, since it can not be written as a division between natural numbers (a sub class of Real numbers called N), it's value is 3,1415(a whole bunch of decimals after this)
If you remove the decimal part of π by subtracting the integer part of it, that is the number 3. the result will still being and irrational number
Since π= 3(the rational part) +0,1415... (the irrational part)
The resut of π-=3= 0,1415...
For the last part, you have to find where
attains its maximum over
. We have

so that

with critical points at
such that





So either

or

where
is any integer. We get 8 solutions over the given interval with
from the first set of solutions,
from the set of solutions where
, and
from the set of solutions where
. They are approximately





