PLEASE HELP, and dont forget to show work!
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Mathematics is a necessary skill that people use throughout their lives, such as when they travel, use money, or keep track of time. Therefore, mathematics is an important skill to learn at school. Unfortunately, many children and adults feel stressed and anxious when they have to do math. People who experience feelings of stress when faced with math-related situations may be experiencing what is called “math anxiety.” Math anxiety affects many people and is related to poor math ability in school and later during adulthood. Researchers have studied how math anxiety first appears, what is happening in the brain when people experience math anxiety, and how to best help people who are suffering with math anxiety.Researchers are also interested in how math anxiety develops. Although research has shown that math anxiety and math abilities are related [1], no study so far has been able to tell us which comes first. In other words, we do not know if being bad at math causes math anxiety, or if having math anxiety makes people bad at math.
Researchers have two ideas about how math anxiety might develop. One idea is that children who struggle with learning numbers when they are very young are more likely to develop math anxiety when they start going to school. This idea has not yet been tested in children. Another idea is that math anxiety develops in children who experience certain kinds of social situations that influence the child’s thoughts or feelings. This means that the child’s emotions, opinions, or behaviors are affected by things that other people say or do. 7/6
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When given an angle, the side opposite the angle, and another side, you have to determine how many triangles are possible or if it is not possible.
Begin with when a triangle cannot exist:
1.) measure of non-inclusive angle is less than 90° and side opposite the angle < (other side)×sin(angle measure)
2.) measure of non-inclusive angle is ≥ 90° and side opposite the angle < other side
Next determine if two triangles exist:
Only if the measure of angle is less than 90° and
(other side)×sin(non-inclusive angle measure) < opposite side < other side
Otherwise 1 triangle exist...
HERE IS WHAT YOUR PROBLEM HAS:
Non-inclusive angle measure = 22° which is < 90°
Opposite side = 13
Other side = 18.1
(other side)×sin(non-inclusive angle measure) =(18.1)×sin(22°) ≈ 6.78
So how many triangles?
6.78 < 13 < 18.1 so 2 triangles exist
Now let's find them... find angle B with law of sines
Put the following in your calculator:
This gives you the first angle B value and if you subtract it from 180 you get the other angle B value
To find the angle C for the first triangle 180 - (sum of angle A and first angle B)
Then use the law of sines to find side c for first triangle.
To find the angle C for the 2nd triangle 180 - (sum of angle A and 2nd angle B)
Then use the law of sines to find side c for 2nd triangle.
Sorry, I didn't do the calculations because my calculator is dead.
Begin with when a triangle cannot exist:
1.) measure of non-inclusive angle is less than 90° and side opposite the angle < (other side)×sin(angle measure)
2.) measure of non-inclusive angle is ≥ 90° and side opposite the angle < other side
Next determine if two triangles exist:
Only if the measure of angle is less than 90° and
(other side)×sin(non-inclusive angle measure) < opposite side < other side
Otherwise 1 triangle exist...
HERE IS WHAT YOUR PROBLEM HAS:
Non-inclusive angle measure = 22° which is < 90°
Opposite side = 13
Other side = 18.1
(other side)×sin(non-inclusive angle measure) =(18.1)×sin(22°) ≈ 6.78
So how many triangles?
6.78 < 13 < 18.1 so 2 triangles exist
Now let's find them... find angle B with law of sines
Put the following in your calculator:
This gives you the first angle B value and if you subtract it from 180 you get the other angle B value
To find the angle C for the first triangle 180 - (sum of angle A and first angle B)
Then use the law of sines to find side c for first triangle.
To find the angle C for the 2nd triangle 180 - (sum of angle A and 2nd angle B)
Then use the law of sines to find side c for 2nd triangle.
Sorry, I didn't do the calculations because my calculator is dead.