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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Answer:
0
Step-by-step explanation:
The five smallest prime numbers are 2, 3, 5, 7 and 11.
2 × 3 × 5 × 7 × 11
= 2310
Divide by 42.
2310/42
= 55, Remainder 0
Step-by-step explanation:
As seen from the graph, f(x) and g(x) intersect each other when x = 3.
Hence, f(3) = g(3).
A) Scale of map is 1: 30,000
This is assuming that it meant 1 centimetre = 30,000 metres, for it gives no other information.
Multiply 1 with 30,000: 30,000 x `1 = 30,000
30,000 metres is your answer.
B) Scale is 1 inch: 6 miles. You are given 2.5 inches.
Remember that 1 inch = 6 miles.
Multiply 2.5 to both sides: (2.5) * 1 inch = (2.5) * 6 miles
2.5 inch = 2.5 * 6 miles
2.5 inch = 15 miles
15 miles is your answer.
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Answer: Scalene triangle
Step-by-step explanation:
A Scalene triangle has all of its three lengths to be different. The traingle above can not be an equilateral triangle too because all the sides aren't equal.
Also, it's not an isosceles triangle since two of its sides are not thesame. It's not a right angle triangle as the square of the hypothenuse isn't equal to the addition of the square of the other two sides.
