Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.
This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x
Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.
a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)
The final answer is 127.3 feet
Answer:
-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
let
c = the number of covered pavilion tickets sold
l = the number of lawn seats tickets sold
one evening 1400 concert tickets were sold
c + l = 1,400
total receipts were $30,000
30c + 15l = 30,000
by solving the system of equations
c + l = 1,400
30c + 15l = 30,000
we find
c = 400 covered pavilion seats
l = 1,200 lawn seats
by plugging the correct numbers into each other
We can factor the equation into:
(x-10)*(x-3)
Therefore the roots are:
X = 10
X = 3