Imagine the path of the tip of the pendulum as an arc of a circle. The circle would have a radius of 4 feet and the arc would be 20 degrees. To calculate the length of the arc, you need to find 20 degrees of the circumference.
Length of Arc = 2*pi*R*Degree of arc/360
Length of Arc = 2*pi*4*20/360
Length of Arc = 8pi * 1/18
Length of Arc = 4/9 pi feet
<span>Length of Arc ~ 1.396263402 feet
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The answer would be A because each side is being multiplied by 3
Answer:
1) x = (a+c)/b
2) The equation is correct no matter what value x takes.
Step-by-step explanation:
1) a−(a+b)x=(b−a)x−(c+bx)
<=> a - ax - bx = bx - ax - c - bx
<=> a - ax - bx - (bx - ax - c - bx) = 0
<=> a - ax - bx - bx + ax + c + bx = 0
<=> a - ax + ax - bx - bx + bx + c = 0
<=> a - bx + c = 0
<=> bx = a + c
If b ≠ 0, x = (a+c)/b
2) 2(3x−5a)+9(2a−7b)+3(5a−2x)=0
<=> 2×3x + 2×(-5a) + 9×2a + 9× (-7b) + 3×5a + 3×(-2x) = 0
<=> 6x -10a + 18a - 63b + 15a - 6x = 0
<=> (6x - 6x) + (15a - 10a + 18a) - 63b = 0
<=> 23a - 63b = 0
<=> 23a = 63b
=> a = 63b/23
with all values of x, the equation is correct.
Answer:
Step-by-step explanation:
Simplify 4*(7-c)
4
⋅
(
7
−
c
)
4
⋅
(
7
-
c
)
Apply the distributive property.
4
⋅
7
+
4
(
−
c
)
4
⋅
7
+
4
(
-
c
)
Multiply.
Tap for more steps...
Multiply 4
4
by
7
7
.
28
+
4
(
−
c
)
28
+
4
(
-
c
)
Multiply
−
1
-
1
by
4
4
.
28
−
4
c
28
-
4
c
28
−
4
c