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katrin2010 [14]
3 years ago
12

30 points

Mathematics
1 answer:
igomit [66]3 years ago
8 0
Since the rate of descent is a constant this is a linear equation and can be expressed as:

h=vt+b, where h=feet, v=slope or rate, b=y-intercept (y value when x=0 which is the initial height)

h=-2t+b, using the point (3,67) we can solve for b, or the initial height

67=-2(3)+b

67=-6+b

73=b  so the initial height was 73 ft and the height equation is then:

h(t)=67-2t so when t=8 you have:

h(8)=67-2(8)

h(8)=67-16

h(8)=51 ft
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True or False? The graph of sine can be used to construct the graph of the secant function.
amid [387]

True

Note that:

secant \theta = \frac{1}{cos\theta}

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is,  sin x  =  cos (90  -  x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since  sec x  =  1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

5 0
3 years ago
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sammy [17]
Let's imagine that we turn the machine on 100 times. (this will make the percent conversion easier)

the chance that works in the morning is 50%  of 100 so it will work 50 times.

the chance that it will then continue for the rest of the day is 15% so 15%*50 (the number of times it worked), which is 7.5 times.

our times actually represented percent, so the answer is : 7.5%!

7 0
3 years ago
The 25 members of the reading club are buying a book to discuss at the next meeting the club leader got a special price the book
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irakobra [83]
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