Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:
Where
This gives:
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
For this case what we must do is define h (x), which is given by:
h (x) = f (x) * g (x)
Where,
f (x) = 5 (The number of fish breeding farms)
g (x) = 80 (1.04) ^ x (The approximate number of fish per breeding farm)
Substituting we have:
h (x) = (5) * (80 (1.04) ^ x)
Rewriting we have:
h (x) = 400 (1.04) ^ x
Answer:
the approximate population of the fish across all Mr. Dawson's farms after x months is:
h (x) = 400 (1.04) ^ x
PT 1
the circumference of a circle is always pi times the diameter. The diameter is 2 times the radius, because diameter is all the way across the circle, whereas radius is from the center of the circle to the edge. Anyways, if the radius is 6, multiply it by 2 and you get 12, so 3.14 times 12 is 37.68, which is the answer.
PT 2
diameter=9 cm. So, just do 9 times 3.14. (diameter times pi = circumference.)
(2*radius times pi = circumference.)
9 times 3.14 is 28.26
:3
Answer:
Solution given:
6a+[4(2 + a) +2/3 (3a)]
Substitute value
6*5+[4(2 + 5) +2/3 (3*3)]
Use BODMAS rule and solve
30+[4*7+2/3*
30+[28+6]
30+34
<u>64</u>
