Answer:
Part 1) The area of the circle is 
Part 2) The circumference of the circle is 
Step-by-step explanation:
step 1
The area of a circle is equal to

we have
---> the radius is half the diameter

substitute


step 2
The circumference of a circle is equal to

we have

substitute


Answer:
1/5
Step-by-step explanation:
the prob that you will pick a blue marble would be 12/16, easy.
then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.
3/5×1/3=1/5×1/1=1/5 so 1/5 is you answer
Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
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<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
Answer:
$20.60
Step-by-step explanation:
$25.75 x 20% = $5.15
$25.75 - $5.15 = $20.60