D(t) = 50 – 23 sin (11 (t +0.23)).
1 answer:
Answer:
0.0566 units of time
Step-by-step explanation:
The average value for the depth of the waves is 50 and occurs when sin (11 (t +0.23)) = 0. It is known that sin(π) = 0, therefore:
Since the units of time used were not specified, the first time the depth of the waves is at its average value is 0.0566 units of time after she starts measuring.
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Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
So if they are similar then just try to figure out which two sides correspond to each other from the first and then the second triangle.
See how in the above example I did 20 and 5 not 20 and 14 or 20 and 3.5 because they do not correspond with one another.
Then figure out, is x on the mama or baby shape and either multiply the number received from all proportions or divide.
Multiply : small to big ( # missing on the bigger one )
Divide : big to small ( # missing on the smaller one)
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I hope that helps you out!! Any more questions??
See how in the above example I did 20 and 5 not 20 and 14 or 20 and 3.5 because they do not correspond with one another.
Then figure out, is x on the mama or baby shape and either multiply the number received from all proportions or divide.
Multiply : small to big ( # missing on the bigger one )
Divide : big to small ( # missing on the smaller one)
----------------------------------------------------------------------
I hope that helps you out!! Any more questions??