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
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Answer:
0.08 ounce
Step-by-step explanation:
If the size of Tania's reaction is proportional to the amount of water used, then she can reduce the reaction size to 0.1 of its previous value by reducing the quantity of water to 0.1 of its previous value:
0.1 × 0.8 oz = 0.08 oz
The size of Tania's reaction may depend on other factors, so changing the amound of water may have no effect whatever. If water serves as a damper on the reaction, Tania may need to increase the amount of water used.
We do not have enough information to determine an appropriate answer to this question.
Answer:
"C" =14
Step-by-step explanation:
14+(-12)=-12+c
-12+c=14+(-12)
-12+c=14-12
-12+c+12=2+12
c=14
Answer:
Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of 
. It can be calculated using trigonometry as follows :
Put all the values,
So, the value of .
Answer:
Degree of freedoms F(4,40)
Step-by-step explanation:
Given:
There is a study which is involving 5 different groups that each contains 9 participants (totally 45)
The objective is to calculate the degree of freedoms
Formula used:
Numerator degree of freedom = k-1
denominator degree of freedom=N-K
Solution:
Numerator degree of freedom = k-1
denominator degree of freedom=N-K
Where,
K= number of groups = 5
N= total number of observations
which is given as follows,
N=45
Then,
Numerator degree of freedom = k-1
=5-1
=4
Denominator degree of freedom = N-K
=45-5
=40
Therefore,
Degree of freedoms, F(4,40)
