81=81•2/2=162/2
81 1/2=162/2+1/2
=163/2
So 81 1/2=163/2=81.5
Answer:
56.7
Step-by-step explanation:
Hello There!
<u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
Answer:
Two Angles are Supplementary when they add up to 180 degrees.
Step-by-step explanation: