Answer:
If the outside diameter of the wheel is 66cm, it will travel 1 wheel circumference. Circumference is Pi x diameter = 3.14 x 66 = 207.24 cm.Step-by-step
Explanation:
If the diameter is of the wheel (without the tire) you need to calculate the actual diameter from the outermost edge of the tire.
Step-by-step explanation:
circumference of a circle
2×pi×r
area of a circle
pi×r²
r (radius) = diameter/2 = 1.5ft
we shall assume pi to be 3.14
circumference is
2×3.14×1.5 = 3.14×3 = 9.42 ft
area is
3.14 × 1.5² = 3.14×2.25 = 7.065 ft²
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
Answer: 
Step-by-step explanation:
A direct variation equation has the form:

Where <em>k</em> is a constant.
By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.
Then, knowing that <em>y</em> is the dependent value and <em>x</em> the independent value and the constant <em>k=4, </em> you can write the following direct variation equation that represents the situation.

Answer:

Step-by-step explanation:
h(x)=-4(x-3)(x-1) Copy the original equation
Factor out the two parentheses
Distribute the -4
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