Answer:
Yes 10.7
Step-by-step explanation:
A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14
We use formula
N0= initial amont of C-14 (at time t=0)
N= amount of C-14 at time t
t= time, in years
k= 0.0001
N is 80% of N0 that is
Divide both sides by N_o
Take ln on both sides
ln(0.8) = -0.0001t ln(e)
ln(0.8) = -0.0001t
Divide both sides by -0.001
t = 2231.435513
The age of the bird skeleton is 2231 years old
Answer:
Tan E = 2 / 7.75
Sin G = 7.75 / 8
Sec G = 4
Step-by-step explanation:
Find the attached document for better illustration of the triangle
Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.
FG = 2 = opposite side of the triangle.
We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.
EG² = FG² + EF²
EF² = EG² - FG²
EF² = 8² - 2²
EF² = 64 - 4
EF² = 60
EF = √(60)
EF = 7.7459 = 7.75
To find the respective trignometric ratio, we can use the relation SOH CAH TOA
Sine = opposite / hypothenus
Cosine = adjacent/ hypothenus
Tangent = opposite/ adjacent
A. tan E
Tan E = opposite/ adjacent
Tan E = 2 / 7.75
Tan E = 0.2580
B. Sin G = opposite / hypothenus
Sin G = 7.75 / 8
Sin G = 0.9687
C. Sec G = 1 / cos G
Cos G = adjacent / hypothenus
Sec G = 1 / (adjacent / hypothenus)
Sec G = hypothenus/ adjacent
Sec G = 8 / 2
Sec G = 4
Answer:
45 miles per hour.
Step-by-step explanation:
We have been given that Ms. Lieber takes 4 hours to drive 210 miles from her home to Yosemite national park. Ms. Lieber's average speed for the first two hours is 60 miles per hour.
Let us find distance traveled by Ms. Lieber in 2 hours.
Therefore, Ms. Lieber's average speed for the last 2 hours was 45 miles per hour.
Answer:
sin²(α)
Step-by-step explanation:
sin⁴(α) − cos⁴(α) + cos²(α)
sin⁴(α) − cos²(α) (cos²(α) − 1)
sin⁴(α) − cos²(α) (-sin²(α))
sin⁴(α) + sin²(α) cos²(α)
sin²(α) (sin²(α) + cos²(α))
sin²(α) (1)
sin²(α)