You are conducting a study on the health of people who have been exposed to radiation and those who have not been exposed to rad
2 answers:
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Answer: 82 sq. units .
Step-by-step explanation:
Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.
Then we plot them on graph ( as provided in attachment)
Length = AB units [By distance formula :
]
units
Width = BC = units
Area = length x width
=
Hence, the area of the rectangle is 82 sq. units .
Answer:
Step-by-step explanation:
I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):
** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.
** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.
** Due east has an angle measure of 0 degrees
Now let's begin.
We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:
so
so
and we need to add those results together. Due to the rules for adding significant digits properly, the answer is
(and remember I am counting that as 3 sig fig's even though it's only 1).
Now for the y components:
so
(which I'm counting as 2 sig fig's)
so
and we need to add those results together.
Now for the resultant magnitude:
and that gives us a final magnitude of
m
Now for the angle:
Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so
The girl is 206 meters from her starting point at an angle of 14 degrees
Essentially, we are trying to find the missing constant term of (remember that we are subtracting
due to the negative sign in front of the second term). Let's expand this to see what we can work with:
- Set up
- FOIL and simplify
Now, we know the second term is , so let's set the second term in the polynomial we just found equal to
:
- Set up
- Divide both sides of the equation by
- Divide both sides of the equation by 2
We have found . We know the missing constant term is
, according to the polynomial we found earlier. Thus, the missing term is:
The missing constant term is 36.