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:
2⁰ + 2¹+ 2⁵ +2³ = 43
Step-by-step explanation:
since 43 is odd, we know 2⁰ or 1 must be one of the sums
43 - 2⁰ = 42
42 - 2¹ = 40
16 = 2⁴
40-2(16) = 40 - 2⁵ = 8
8 = 2³
adding this all together
2⁰ + 2¹+ 2⁵ +2³ = 43
Answer:11+4n=30
Step-by-step explanation:11+4n=30
Answer:
2x + 4.8y +13.2
Step-by-step explanation:
1. (4)(0.5x+2.5y+−0.7+−1.3y+4)
2. (4)(0.5x)+(4)(2.5y)+(4)(−0.7)+(4)(−1.3y)+(4)(4)
3. 2x+10y−2.8−5.2y+16
4. 2x + 4.8y +13.2
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