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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Sent a picture of the solution to the problem (s). I sent the formula because I do not know if your calculator has the combination function. You will notice the denominator. I got it by the 2 picks you make and the 3 from what is left over. The 5 is from the total selection.
There is no number I can think of that would make the statement untrue.
The result of this when you subtract 83x from both sides leaves you with P = Q.
Unless you know differently, the equation says that P must equal Q no matter what x is. If there is such a condition, it is not obvious.
Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
Answer:
b
Step-by-step explanation:
Given K is the midpoint of JL, then
JK = KL ← substitute values
6x = 3x + 3 ( subtract 3x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Hence
JK = 6x = 6 × 1 = 6
KL = 3x + 3 = (3 × 1) + 3 = 3 + 3 = 6
JL = 6 + 6 = 12
