Answer:
![9+\sqrt{41}](https://tex.z-dn.net/?f=9%2B%5Csqrt%7B41%7D)
Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:
![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D)
Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:
![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D%5C%5CD%3D%5Csqrt%7B%281-5%29%5E2%2B%28-1-4%29%5E2%7D%5C%5CD%3D%5Csqrt%7B16%2B25%7D%5C%5C%20D%3D%5Csqrt%7B41%7D)
Summing it all (perimeter is sum of 3 sides):
Distance = ![4+5+\sqrt{41}\\ =9+\sqrt{41}](https://tex.z-dn.net/?f=4%2B5%2B%5Csqrt%7B41%7D%5C%5C%20%3D9%2B%5Csqrt%7B41%7D)
3rd answer choice is right.
Answer:
57,000
Step-by-step explanation:
Although the answer choices are not complete, we may evaluate the probability of each event.
Total silver medals = 99
Great Britain's silver medals = 17
A should be 17/99
Total Russian medals = 82
Russian bronze medals = 32
B should be 32/82 = 16/41
Total gold medals = 137
Chinese gold medals = 38
C should be 38/137
Total US medals = 104
US silver medals = 29
D should be 29/104
No I do not think that 12/60 and 16/40 are equivalent because onec you reduce both of the fractions it does not equal.
You would be a pentagon. A pentagon has 5 sides