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
Answer:
The inequality for Part A: −6 °F < −2 °F
Step by step-
The reason for that us because the -2 is closer to zero on the number line
Step-by-step explanation:
A. this is a geometric sequence.
according to y-coordinates =>
3, 6, 12, 24
have a T1 = 3 and ratio = 6/3 = 2
B. the formula = Tn = r. T(n-1)
T5 = 2. T4
= 2. 24 = 48 minutes
C. the formula : Tn = T1 . r^(n-1)
T9 = 3. 2^(9-1)
= 3. 2^8
= 3. 256
= 768 munutes
