Answer:
-0.5 is the answer I think
Hello :
<span>the general term equation, an, for the arithmetic sequence is :
An = A1+d(n-1)
A1 : the first term and : d the common diference
in this exercice :
A1 = 9
d =(-3)-(1) =(1)-(5) =(5) -(9) = -4
An = 9-4(n-1)
An = -4n +13</span>
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
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Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
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Side note: Both answers are approximate because pi = 22/7 is approximate.
Y = 2 because half of 10 is 5 so half of 4 is 2
