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Kamila [148]
2 years ago
12

If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b

ase (diagonal)?
Mathematics
1 answer:
Readme [11.4K]2 years ago
5 0

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

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mamaluj [8]

Answer:

The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.

Step-by-step explanation:

3 0
2 years ago
How to find the area under the standard normal curve between z 1.5 and z 2.5?
alisha [4.7K]
It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z.  The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore 
P(Z<z2)-P(Z<z1).

For example, to find the area between  z1=1.5, z2=2.5
is 
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=0.99379-0.93319
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(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
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8 0
3 years ago
I think it’s b but I’m not sure... please show work I need help ASAP
ohaa [14]
The answer is b. Great job! here ill show you the work.
15x +90 > 270
move constant to the right side and change its sign, like this:
15x>270-90
then subtract the numbers
15x>180
lastly, divide both sides by 15. 
hope this helped!
5 0
3 years ago
The Philadelphia Museum of Art’s triangular pediment has the measurements shown in the diagram. What is the area?
kherson [118]

Answer:

420 ft^2

Step-by-step explanation:

12x70=840

840/2=420

5 0
2 years ago
PLEASE HELP I’LL MARK BRAINLIEST
Anna35 [415]

the answer is c :) :)

7 0
2 years ago
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