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:
9 miles
Step-by-step explanation:
mean is calculated as
mean =
, then
= 5.7 ( multiply both sides by 10 )
sum = 57
let x be the distance he needs to cover so mean is 6 , that is
= 6 ( multiply both sides by 11 )
sum + x = 66 , that is
57 + x = 66 ( subtract 57 from both sides )
x = 9
That is he would have to run 9 miles
Answer:
y=2x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=2(x-3)
y+1=2x-6
y=2x-6-1
y=2x-7
Answer:
Check it below
Step-by-step explanation:
1) The Boxplot is a visual tool to easily find the quartiles of a Distribution. To construct a boxplot it's necessary to organize the data, find at least the upper (3rd Quartile) and lower quartile (1st Quartile), and register the maximum and the minimum value.
2) This graph confirms that the South American ones have much more water than the North American counterparts. Notice the Upper Quartile, (the top of the box) for the Southern ones, it's over 100,000 yrds³. And Compare to the Northern one.
Hi,
So we have g(x) = 4√(x). We're looking for g(45). Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.
Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).
-Hope this helps!