Michelle correctly solved a linear equation and the last line of her work was: 1 = 2
2 answers:
The equation has no solutions.
If, after a correct and legit manipulation, an equation turns into a false statement, than the original equation had no solutions.
It's easy to build an example: start with the equation
It is clear that this equation has no solutions: we can't get the same result by adding 1 and 2 to the same number! In fact, we can subtract x from both sides (which is a totally legit operation) and get
Which is a false statement, reflecting the fact that the equation had no solutions to begin with.
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Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC =
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,
The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
Answer : The length of the wire is, 8533 cm
Step-by-step explanation :
As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.
Volume of iron sphere = Volume of cylindrical wire
The formula will be:
where,
= radius of sphere =
= radius of cylindrical wire =
h = height of cylindrical wire or length of wire
Now put all the given values in the above formula, we get:
Therefore, the length of the wire is, 8533 cm