Answer:
The angle is about 30.27 degrees.
Step-by-step explanation:
Use the trig ratio cosine because you are given the adjacent leg and the hypotenuse.
Plug into a calculator
Rounded to the nearest hundredth the angle is 30.27 degrees.
The perimeter of a triangle is 92 centimeters. if two sides are equally long and the third side is 8 centimeters longer than the
1 answer:
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Answer:
The graph of the inverse function is the same that the graph of the original function
Step-by-step explanation:
step 1
Find the equation of the function in the graph
Let
f(x) ---> the function in the graph
we know that
Is a linear function
take the points (0,6) and (6,0)
<em>Find the slope of the linear function</em>
<em>Find the the equation of the linear function in slope intercept form</em>
we have
---> the y-intercept is given
substitute
step 2
Find the inverse of the function f(x)
Let
y=f(x)
<em>Exchange the variables (x for y and y for x)</em>
Isolate the variable y
Let
In this problem the graph of the inverse function is the same that the graph of the original function
Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
You get the system of two equations:
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
