Answer:
"4" represents that there are 4 rabbit in the beginning.
Step-by-step explanation:
Given that the population of a species of rabbit triples every year. This
can be modeled by function and
.
Now we need to find about what does the 4 represent in the given function.
We know that exponential function is given by . Where "a" represents the initial amount.
we have a=4 in given function .
So that means "4" represents that there are 4 rabbit in the beginning.
cos θ = , sin θ =
, cot θ = 4/7, sec θ =
, cosec θ =
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse = =
=
sin θ = opposite/ hyp =
Rationalize, x
=
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = -
cos θ = adj/hyp =
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/ = -
cosec θ = 1/sin θ = 1/ =
Learn more about trigonometric ratios: brainly.com/question/24349828
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Sajia can sell 21 books she can sell if she comes back on sunday and the required inequality is
<em><u>Solution:</u></em>
Given that Sajia has 30 Books in her library
She sold 9 books at the thrift store on Saturday
To find: We have to write and solve an inequality to determine number of more books she can sell if she comes back on sunday
Let "x" be the number of more books she can sell if she comes back on sunday
<em><u>We can write a inequality as:</u></em>
Now moving 9 from L.H.S to R.H.S we get,
On solving 30 - 9 = 21,
So Sajia can sell 21 books she can sell if she comes back on sunday