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Irina-Kira [14]
3 years ago
13

All math teachers are smart. Ms. Smith is your math teacher, so she is smart.

Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0
This is deductive reasoning.

Hope you have a nice day! :)


worty [1.4K]3 years ago
6 0

Answer: Deductive reasoning


Step-by-step explanation:

  • Deductive reasoning is a reasoning which is a basic form of valid reasoning. It starts with a general statement or hypothesis and concludes the possibilities to approach a specific and logical conclusion.

Here the given statement is "All math teachers are smart. Ms. Smith is your math teacher, so she is smart."

Now, here the first statement is a general statement and the second statement shows the logical specific conclusion.

Thus, the given reasoning is a deductive reasoning.

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Determine an approximate value for y if the coordinate (-0.5387 ,y) is on the unit circle
adoni [48]

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y = 0.8425   or   y = -0.8425

Step-by-step explanation:

All points in the Cartesian coordinate system have an x and y coordinate, defined by two perpendicular measurements.

If the point is on the unit circle, then the radius of the circle is defined to be 1 unit, and the corresponding right triangle follows the Pythagorean Theorem.

a^2+b^2=c^2

For a unit circle:

x^2+y^2=1^2

Substituting the known value for x, and simplifying...

(-0.5387)^2+y^2=(1)^2

0.29019769+y^2=1

Subtracting 0.29019769 from both sides to begin to isolate "y"...

y^2=1-0.29019769

y^2=0.70980231

Applying the square root property...

\sqrt{y^2}=\pm \sqrt{0.70980231}

y=\pm 0.8424976171...

So, (to 4 decimal places), the y coordinate could be either 0.8425 or -0.8425.

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