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
#SPJ10
Answer:
The correct answer would be 54 hundreds
Step-by-step explanation:
If we are considering how many hundreds something has, we can simply take away two 0's and use that number. We take the two 0's off and then we have the right number of hundreds
I think maybe A Im not 100% sure tho
The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: 
Given that:


Let the number of months be t. So, the function C(t) is calculated as follows:



The range is calculated as follows:
The smallest possible value of t is 0 i.e. when no monthly subscription is done.
So, we have:

And the highest is
i.e. for a large value of t
So, we have:

Hence, the range of the function is:

Read more about range of functions at:
brainly.com/question/13824428
Answer:
The answer to your question is x = 10/19
Step-by-step explanation:
Equation
6 / (x + 2) = 5 / 4x
To solve this equation use cross multiplication
6(4x) = 5(x + 2)
Simplify
24x = 5x + 10
Subtract 5x in both sides of the equation
24x - 5x = 5x - 5x + 10
Simplify
19x = 10
Divide by 19 both sides
19x/19 = 10/19
Simplify
x = 10/19