Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
L.H.S is already equal, so just subtract 1st equation from second,
2y = 12
y = 6
Now, substitute it in 1st equation,
2(6) = 4x + 8
4x = 12 - 8
x = 4/4
x = 1
In short, Your Answer would be Option C) (1, 6)
Hope this helps!
Answer:
5/3 = z
Step-by-step explanation:
You can use proportions to figure this out.
Imma solve this as I work through it.
So
4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.
Lemme clean this up for ya
The butterfly method involves multiplying in a cross format on both sides, so the
4 12
__ = ______
z 5
becomes 4 times 5, and z times 12.
4 times 5 is 20, and z times 12 is 12z
so you now have 20 = 12z
Lets simplify the equation by dividing by 4s
20 divided by 4 is 5 and 12z divided by 4 is 3z
so
5 = 3z
You can divide again
by dividing both sides
by
3
to get the unit rate of z.
It will be a fraction though
and it won't look pretty
but here it is:
5
__ = z
3
So
It is
5/3
Hope this helps
and hope you get a laugh out of this
yeeha
all of them except the last efg and bcd
