By giving just the radius and asking for the arc length of that circle your answer will be without math is 22
π
feet
But;
Let’s do same math!
Arc length = (()/360)⋅2⋅⋅
(
(
a
n
g
l
e
o
f
a
r
c
)
/
360
)
⋅
2
⋅
π
⋅
r
In this case angle of arc was not specified so: 360∘
∘
was used.
Arc length = ((360)/360)⋅2⋅⋅11
(
(
360
)
/
360
)
⋅
2
⋅
π
⋅
11
Arc length = 22
π
feet
Question 1.). Solve:
2 (x - 1 / 2) = 3 (5 - 2x)
Simplify both sides of equation:
2( x - 1 / 2 ) = 3(5 - 2x )
(2) (x) + (2) ( -1 / 2 ) = (3) (5) + (3) ( -2x )
Distribute:
2x + - 1 = 15 + -6x
2x - 1 = -6x + 15
Add 6x to both sides:
2x - 1 + 6x = -6x + 15 + 6x
8x - 1 = 15
Add 1 to both sides:
8x - 1 + 1 = 15 + 1
8x = 16
Divide both sides by 8:
8x / 8 = 16 / 8
Answer: 2 (x - 1 / 2) = 3 (5 - 2x) ==========> x = 2
Question 2.).
M =======> Amount Malik need
Solution: =========> m ≥ 5
Inequality ========> 8 + 7 + 10 + m ≥ 30
25 + m ≥ 30
Interpretation ==========> Malik needs at least, $5 .00 to get to, $30.00 or more.
Is the solution reasonable ===========> YES
Hope that helps!!!!! : )
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