Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
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<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Answer:
no horizontal asymptote
Step-by-step explanation:
When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.
Dividing the numerator by the denominator gives
= x - 5 + 
There is a slant asymptote with equation y = x - 5
Answer:
<h2>BC = 25</h2>
Step-by-step explanation:
It's an isosceles triangle (congruent angles ∠C ≅ ∠B).
Therefore AC = AB.
We have the equation:
<em>subtract 1 from both sides</em>
<em>subtract 2x from both sides</em>
<em>divide both sides by 2</em>
Substitute the value of <em>x</em> to the expression BC = 3x - 8:
Step-by-step explanation:
See the attached image. I numbered angles differently so as not to make an <u>assumption</u> that angles numbered the same are congruent.
(alternate interior angles are congruent)
(alternate interior angles are congruent)
(opposite sides of a parallelogram are congruent)
(ASA - side/angle/side)
(corresponding parts of congruent triangles are congruent)
The diagonals bisect each other!
