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koryn4880
07.01.2021 •
Mathematics
The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA
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Ответ:
use the formula: central angle/360°=arc length/8 pi
60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches
Ответ:
Part (a)
Let's replace x with 15 and evaluate to see if he is correct or not.
x/2 - 3 = 6
15/2 - 3 = 6
7.5 - 3 = 6
4.5 = 6
We get a false statement after simplifying everything. We need to get the same number on both sides to get a true statement. Therefore, Ahmed is not correct.
No, he is not correctPart (b)
Let's solve for x. We do so by first adding 3 to both sides, and then multiplying both sides by 2. This follows PEMDAS in reverse, undoing everything to isolate the variable.
x/2 - 3 = 6
x/2 = 6+3 add 3 to both sides
x/2 = 9
x = 9*2 multiply both sides by 2
x = 18 is the answer
As a check, we'll use the same idea as part (a)
x/2 - 3 = 6
18/2 - 3 = 6
9 - 3 = 6
6 = 6
We get a true statement this time. This confirms x = 18
x = 18