Answer:

Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form

The tide varies between 3ft and 9ft, which means its amplitude
is

and its midline
is
.
Furthermore, since at
the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is
.
The period of the full cycle is 14 hours, which means


giving us

With all of the values of the variables in place, the function modeling the situation now becomes

Step-by-step explanation:
<h3>Part A</h3>
<u>Angle measures:</u>
- a = x = z = 51° (as vertical angles and corresponding angles)
- b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>
Supplementary angles for a linear pair and sum to 180°.
<u>Examples are:</u>
- a and b or
- a and d or
- x and y etc.
Factor ||5||−||−5||−(−5)|5|-|-5|-(-5) = 25 =5² ( 2 prime factors, 1 distinct)
Divisors = 1,3,25 (3 divesors)
M =180 - 148-24 I THINK this shoud work
Answer:
$64.80
Step-by-step explanation:
First, calculate the sales tax
Convert 8% into a decimal
8/100=0.08
Multiply the decimal by the cost of the game
60*0.08=4.8
$4.80 is just the tax, we have to find the total cost
Add the tax and the cost of the game
60+4.80=64.80
So, the total cost is $64.80
Hope this helps! :)