Answer:
70.7 ft
Step-by-step explanation:
The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.
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For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...
hypotenuse = √(side² + side²) = √(1²+1²) = √2
Then the diamond distances satisfy the proportion ...
hypotenuse/side = 100 ft/(base distance) = √2/1
or ...
base distance = (100 ft)/√2 ≈ 70.71068 ft
D = 10 is the diameter so r = d/2 = 10/2 = 5 is the radius
Plug r = 5 and h = 7 into the formula below and simplify
V = pi*r^2*h
V = pi*5^2*7
V = pi*25*7
V = pi*175
V = 175pi
Answer: Choice D
Answer:
third angle =180-two congruent angles. is expression.
Answer:
1/50* 1/2 =0 .01
Step-by-step explanation:
First, the probability that the spinner lands on 20 is
1
/50
, as 20 is one of the 50 numbers on the wheel, and each number has an equal probability of being selected.
Second, the probability that the spinner lands on an odd number is
1/2
. This is because of the 50 numbers on the wheel, half are even and half are odd.
