Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.
<h3>What is the Pythagorean Theorem?</h3>The Pythagorean Theorem relates the length of the legs and
of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the <u>sum of the legs squared</u> of the triangle, according to the following equation:
The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a <u>right triangle in which the legs are of 90 feet</u>, being the distances from home plate to 1st base and 1st base to 2nd base.
Then:
h² = 90² + 90²
h = sqrt(90² + 90²)
h = 127 feet.
The distance from home plate to second base is about 127 feet.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
Identity (a) can be re-written as
which we already proven in another question, while for idenity (b)
step A is simply expressing each function in terms of sine and cosine.
step B is adding the terms on the LHS while multiplying the one on RHS.
step C is replacing the term on the numerator with the equivalent from the pithagorean identity
Answer:
First option: Square with diagonals
and
.
Fifth option: Segment is parallel to segment
.
Step-by-step explanation:
We know that a square is quadriteral whose sides are equal.
By definition, a square has the following properties:
1) Its four sides are congruent.
2) The diagonals are congruent.
3) The angles formed by the intersection of the diagonals measure 90 degrees.
4) The opposite sides are parallel.
5) Each internal angle measures 90 degrees.
Notice in the figure that: