Response: Annabelle is employing the statistical concept known as Mode.
Detailed explanation: A central tendency measure, in its most basic sense, is a singular value or measure that effectively represents all elements of a particular data set. As such, one number can serve to essentially represent 99 other numbers in a data set of one hundred figures.
Commonly acknowledged measures of central tendency include mean, median, and mode.
The mode denotes the value that appears most often in a data set. Therefore, the modal value is statistically suitable as a representative of the entire group of values or data points.
If Annabelle measures the sides of 15 right triangles and concludes that the sum of the squares of the two legs is equal to the square of the hypotenuse for any right triangle, she is identifying the most frequently occurring value, and in her analysis, the most common data observed aligns with the Pythagorean Theorem.
This is why Annabelle's assumption is made with confidence.
The distance AB measures 185.77 feet.
Step-by-step explanation:
According to the attached figure, in triangle ABC,
∠B = 103.2°, ∠C = 14.4° and side BC = 661 feet.
We need to calculate AB's measure.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
Utilizing the sine rule in the triangle ABC,
AB =
= 185.77 feet.
Thus, AB = 185.77 feet is the solution.
Response:
The direct straight-line distance between Caleb's school and the library amounts to:
Step-by-step explanation:
Picture a triangle where one side measures five blocks and another side measures two blocks; to calculate the most direct straight-line distance from Caleb's school to the library, you can apply the Pythagorean theorem, with the hypotenuse being the straight-line distance:
Solving for the hypotenuse results in:
To figure out the distance in each case, consider the following:
Five blocks = 275 feet * 5 = 1375 feet.
Two blocks = 275 feet * 2 = 550 feet.
Finally, you need to substitute the determined distances into the cleared equation:
- The hypotenuse, or the closest straight-line distance, equals 1480.92 feet.
Thus, we can conclude that the direct distance from Caleb's school to the library is 1480.92 feet.
Answer:
No
Step-by-step explanation:
According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.
4+6=10
11 is still greater than 10.
Hence, constructing such a triangle is not feasible.
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