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.
___
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:
L=16 W=7
Step-by-step explanation:
P=2(L+W)
L=2W+2
46=2(2W+2)+2W
(((7×2)+2)=16×2=32
(16-2)/2=7×2=14
32+14=46 or 16+16+7+7=46
Step-by-step explanation:
4)180-57.8=123.3
5)180-116.4=64.6
1 True because 19^3 = 6859
2. False
3. True because 8000 ^1/3 can be written as 100^1/3 * 8^1/3
4 False
5 True because they are both = 15
If you have a scientific calculator you can check these out yourself
In a recent year, one United States dollar was equal to about 82 Japanese. How many Japanese yen are equal $100?$1,000?$10,000
<span>Given is: </span>
<span>1 USD = 82 Japanese Yen </span>
<span>Conversion: </span><span>
1. 100 USD x 82 JY / 1 USD = 8, 200 Japanese Yen</span> <span>
2. 1000 USD x 82 JY / 1 USD = 82, 000 Japanese Yen</span> <span>
3. 10, 000 USD x 82 JY / 1 USD = 820, 000 Japanese Yen</span>