Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.
<h3>Answer:</h3>
B) 10 pounds
<h3>Explanation:</h3>
Let x represent the amount of 70¢ candy to be added. The value of the mixture can be written as ...
... 90×30 + 70x = 85×(30+x) . . . . . where 30+x is the total weight of the mix
... 2700 +70x = 2550 +85x
... 150 = 15x . . . . . . add -70x-2550
... 10 = x . . . . . . . . . divide by the coefficient of x
10 pounds of candy at 70¢/lb must be added.
Answer:
Step-by-step explanation:
1). (d). 5°C < 7°C
2). (a). - 8°C < - 3°C
3). (c). 4°C > - 4°C
4). (b). - 10°C > - 16°C
Answer:
<em>= 279</em>
Step-by-step explanation:
= 
+ (n - 1)d
d = 
-
~~~~~~~~~
d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8
= - 25 + 8(39 - 1) = 279
<em>= 279</em><em> </em>
Answer:
Step-by-step explanation:
perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle
= 2(l+B) + 
r
= 2( 10+8) + 3.14 × 5
= 36 + 15.7
= 51.7
= 100 ( rounding off to nearest hundredth )
hope this helps
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