A baseball diamond is a square that is 90feet on each side. What is the distance a catcher has to throw the ball from home to se
cond base?
2 answers:
Answer:
<h2>127.3 feet.</h2>Step-by-step explanation:
We know that a baseball diamond has square form, which means all sides are congruent.
So, we already know that each side of the square is 90 feet.
Notice that the distance from home to second base is a diagonal of the square, which can be found using pythagorean theorem where the diagonal is the hypotenuse and both legst are 90 feet long.
Therefore, the distance a catcher has to throw the ball from home to second base is around 127.3 feet.
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Ok, from your picture, it looks like you have a square and a right triangle next to each other
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?
Answer:
Step-by-step explanation:
The point P(1,0) and T are on the unit circle C and the arc length from P to T is x.
Let us assume that point P - x i.e. the point obtained by moving clock wise direction along the circle from P is T'.
Because of the symmetry of the circle about the coordinate axes, the x-coordinate of point T' will be and the y-coordinate will be
.
So, coordinates of T' are .
Here we must notice that point T' is the reflection point of T with respect to X-axis. (Answer)