Answer:
c)
Step-by-step explanation:
To solve this, remember some properties of trigonometric functions.
Let . Then, by definition of inverse function, . Multiply by -1 to both sides of this equation to get .
Note that because sine is an odd function and cosine is an even function. Then . Take the inverse tangent in both sides to get .
Using the previous equations, we obtain:
Answer:
a)
b) According to these data, the Shroud of Turin has around 760 years.
Step-by-step explanation:
The amount of carbon-14 is modeled by the following equation:
In which is the initial amount and k is the rate of decrease.
(a) Find the value of the constant k in the differential equation.
Half-life of 5595 years.
So
Applying ln to both sides
b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?
This is t when
Applying ln to both sides
According to these data, the Shroud of Turin has around 760 years.
The answer is B
Explanation: you start with 177.25 the total and subtract 7.5. Then you grab 169.75 and divide by 5. Getting you 33.95
Answer:
x = 11.31
y = 13.86
z = 19.60
Step-by-step explanation:
8/x = x/16
x^2 = 128
x = 11.31
x^2 + 8^2 = y^2
128 + 64 = y^2 = 192
y = 13.86
x^2 + 16^2 = z^2
128 + 256 = z^2
z^2 = 384
z = 19.60
Answer:
Step-by-step explanation:
Multiply the numerators and denominators together:
Mixed number: