The expressions of the number of radians can be expressed in the ways below.
<h3>How to write the expressions</h3>
The radius = 1.9 km
The angular speed = 3.1 radians per hour
a. The expression of t from the number of radians
θ = π/2 + 3.1t
<h3>b. Expression from the East</h3>
x = rcosθ
= 1.9cos(π/2 + 3.1t)km
<h3>c. Expression from the north of the center</h3>
= rsinθ
= 1.9sin((π/2 + 3.1t)km
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Answer:
10
Step-by-step explanation:
Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
The length of side c would be 8.
Step-by-step explanation:
Given that,
a = 4
b = 6
cosC = -1/4
If we are given two sides and angle, the law of Cosines can be used to find the third side:

By inserting the values in the formula, we get



c = 8.
Therefore, the length of side c would be 8.
Answer:
Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.
48 + 90 + y = 180
138 + y = 180
-138 + 138 + y = 180 - 138
y = 42°