Step-by-step explanation:
Mechanical advantage can be defined using distances:
Mechanical advantage = input distance / output distance
Or it can be defined using forces:
Mechanical advantage = output force / input force
Solving for the output force:
Output force = mechanical advantage × input force
Plugging in values:
Output force = 2.2 × 202 N
Output force = 444.4 N
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Answer:
y = -51 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.
So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x
K = constant, we have to work this out
-3 = k ÷ 17
-3 × 17 = k
k = -3 × 17
k = -51
k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x
Answer:
The polygon with the smallest perimeter is the megagon
The polygon with the largest perimeter is the triangle
Step-by-step explanation:
An equilateral triangle with area = 20 has
0.5× a²×sin60 = 20
a= 6.796
Hence, perimeter = 20.39
A square of area 20 has perimeter= 4×√20 = 17.9
A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05
Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases
Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.
Answer:
One.
Step-by-step explanation:
-4x + 6 = 6x - 2
-4x - 6x = -2 - 6
-10x = -8
There's only value of x which, when multiplied by -10 would produce -8.
That value is 0.8.
-10 * 0.8 = -8
No other value can produce the same result.
This means that there's only one solution.
