Please help me with this question
1 answer:
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Answer:
[see below]
Step-by-step explanation:
I used a graphing program to graph the given system. I also graphed the points given.
Options B's choice lies in the double shaded area, so it would be a solution to the system.
See the graph attached!
Hope this helps you!
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
<u>Given</u>:
The measure of arc AB is (4y + 6)°
The measure of arc BC is (20y - 11)°
The measure of arc AC is (7y - 7)°
We need to determine the measure of arc ABC.
<u>Value of y:</u>
The value of y is given by
Substituting the values, we get;
Adding the like terms, we have;
Adding both sides of the equation by 12, we have;
Thus, the value of y is 12.
<u>Measure of arc ABC:</u>
The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.
Thus, we have;
Substituting y = 12, we get;
Thus, the measure of arc ABC is 283°