Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer:
lower price = 3
higher price =11
Step-by-step explanation:
p(x) = -2(x-3) (x-11)
Setting equal to zero
0 = -2(x-3) (x-11)
Using the zero product property
x-3 = 0 x-11 =0
x=3 x = 11
Answer:108.33, assuming that the wood fence goes around the garden and doesn’t cut across it as well
Step-by-step explanation: 4.5 times 2 times pi to find circumference. Divide by 2 because it is only half of garden. Times by 12 to convert to inches. Divide by 36. Multiply by 23.
Answer:
a ≤ b + 5
a + b ≥ 40
2.5
a + 1.5
b ≤ 105
Step-by-step explanation:
Using an exponential function, it is found that the Tequesta settlement is 1845 years old.
<h3>What is an exponential function?</h3>
The exponential equation for a decaying amount of a substance is given by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.
Hence, the equation is:
The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).
The Tequesta settlement is 1845 years old.
You can learn more about exponential functions at brainly.com/question/25537936
