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:
Part A: C, Part B: A, E, i, K 160 cm, A: 21, Use PEMDAS and you get 13 5/7.
Step-by-step explanation:
1.6 x 100 meters = 160 centimeters
3 x 7/1 = 21/1 = 21
Answer:
x=14
Step-by-step explanation:
there is a picture to help you foe the explanation
Answer:
11/5 inches
Step-by-step explanation:
total snowfall for the day = snowfall in morning + snowfall in evening
= 8 over 5 + 3 over 5 (all in inches)
= 8/5 + 3/5 (all in inches)
Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator
(8/5 + 3/5) inches= (8+3)/5 inches = 11/5 inches = total snowfall for the day
Answer:
The volume of the cylinder = π r² h
where r is the radius of the cylinder and h is the height of the cylinder.
This is formula is applied for the right cylinder as figure 1 and oblique cylinder as figure2.
<u>The volume of the cylinder of figure 1:</u>
r = 6 and h = 7
volume = π r² h = π * 6² * 7 = 252π units³
<u>The volume of the cylinder of figure 2:</u>
r = 11 and h = 15
volume = π r² h = π * 11² * 15 = 1,815π units³
