The fraction of a circle represented by the shaded region is:
S '/ S = ((8/5) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((8/5)) / (2)
S '/ S = 8/10
S '/ S = 4/5
Then, we can make the following rule of three:
(64/5) pi -------> 4/5
x ----------------> 1
Clearing x we have:
x = ((1) / (4/5)) * ((64/5) pi)
Rewriting:
x = (5/4) * ((64/5) pi)
x = (5/4) * ((64/5) pi)
x = 50.24
Answer:
The area of the complete circle is:
x = 50.24
Let
. Then
. By convention, every non-zero integer
divides 0, so
.
Suppose this relation holds for
, i.e.
. We then hope to show it must also hold for
.
You have
We assumed that
, and it's clear that
because
is a multiple of 3. This means the remainder upon divides
must be 0, and therefore the relation holds for
. This proves the statement.
Answer:
-3/4 pi radians
Step-by-step explanation:
<em>180° is 1 pi radian</em>
Hence, -<em>135° = -135/180 pi radians</em>
= -0.75 pi radians
= -3/4 pi radians
Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
$4.00 for 6 donuts would mean $1.50 per donut. There are 48 donuts in 4 dozen. $1.50 times 48 is $72. The correct answer is $72.
Hope this helped!
