Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
A is the only one that ones not decrease using a negative sign
Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = ∠AOH
- O = AH = 8
- A = OH = 19.80
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
- = ∠BOH = 38.99930165°
- O = HB
- A = OH = 19.80
Substituting given values:
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Answer:
Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.
