The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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It’s distance times speed over time. So 108km/s x 3.0 = 324 divided by 5 which equals 64.8 km/s
Answer:
r = 0.
Step-by-step explanation:
The slope = (y2 - y1) / (x2 - x1)
So (r - (-3)) / (-4-2) = -1/2
(r + 3) / -6 = -1/2
2(r + 3) = 6
2r + 6 = 6
2r = 6 - 6 = 0
r = 0 (answer).
Answer:
$39.60
Step-by-step explanation:
We are finding 66 - 40%
66 less 40% = 60% of 66
60% of 66 is the price of the item now.
Convert 60% to decimal form by dividing by 100.
60%/100 = 0.60
Multiply the decimal form by 66
66 X 0.6 = 39.60
Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.
The price of the item now is $39.60.
Answer:
x = 5
Step-by-step explanation:
11 = 4x-9
20 = 4x
20/4 = 4x/4
5 = x
