Answer:
Yes;Each side of triangle PQR is the same length as the corresponding side of triangle STU
Step-by-step explanation:
You can observe the sides of both triangles to see if this property holds
Lets check the length of AB
A(0,3) and B(0,-1)
Now check the length of the corresponding side DE
D(1,2) and E(1,-2)
The side AB has the same length as side DE.This is also true for the remaining corresponding sides.
319049
as 100,042 + 98,117 + 120,890 = 319,049
Answer+Step-by-step explanation:
Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
n = 3819.48
Thus, the sample is approximately 3819.5 years old.
Answer:
$ 7.7
Step-by-step explanation:
Given,
There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,
Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,
Thus,
The probability of $ 1 =
The probability of $ 5 =
The probability of $ 10 =
The probability of $ 20 =
The probability of $ 100 =
If a bill is selected randomly,
The expected value of the bill
= $ 7.7