Project Option 1 Instructions
For this option, you will work individually.

The Pythagorean Theorem can be used in many real-world scenarios.

Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.

Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.

For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

2nd one in the first row is correct

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: