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.
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The best and most correct answer among the choices provided by the question is <span>A.an = 20 + (n - 1)(6)</span> .<span>
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Hope my answer would be a great help for you.</span>
Answer:
Step-by-step explanation:
To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?
Solution :
Using metric conversions,
1 kilometer = 1000 meter
1 meter = 100 centimeter
So, 1 kilometer = 100,000 centimeter
and 1 million year = 1,000,000 year
So, 
Therefore,
Answer:
Choice A. Segment LM is congruent to segment LO.
Step-by-step explanation:
Triangles LMX and LOX are right triangles since we see that each one has a right angle.
Segment LX is congruent to itself. Segment LX is a side of both triangles. It is a leg of both triangles, so we already have a leg of one triangle congruent to a leg of the other triangle.
For the HL theorem to work, we need a leg and the hypotenuse of one triangle to be congruent to the corresponding parts of the other triangle. Since we already have a pair of legs, we need a pair of hypotenuses.
The hypotenuses of the triangles are segments LM and LO.
Answer: A. Segment LM is congruent to segment LO.
Answer:
21
Step-by-step explanation:
I wil call the length l and the width w in the following. We are given these informations:
The area of the rectangle is 105. That means l * w = 105. (1)
The length is 16 inches longer that the width. That means l = w + 16. (2)
If we plug the information we get from (2) into the equation (1), we get:
(w + 16) * w = 105
Simplify and you get
w² + 16 w - 105 = 0
With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).
If we now plug w = 5 back into our infromation (2), we get:
l = 5 + 16 = 21
(To confirm the result plug w = 5 and l = 21 into (1))
