Answer:
A= 306,87°
B= 196,26°
C= 112,62
Step-by-step explanation:
sinA =-4/5
A = -53,24°
A = 306,87°
tan B = 7/24
B = 16,26°
B = 196,26°
cos C = -5/13
C = 112,62°
Answer:
![a_3_8=364](https://tex.z-dn.net/?f=a_3_8%3D364)
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference
we have
![31,40,49,58,...](https://tex.z-dn.net/?f=31%2C40%2C49%2C58%2C...)
Let
![a_1=31\\a_2=40\\a_3=49\\a_4=58](https://tex.z-dn.net/?f=a_1%3D31%5C%5Ca_2%3D40%5C%5Ca_3%3D49%5C%5Ca_4%3D58)
we have that
![a_2-a_1=40-31=9](https://tex.z-dn.net/?f=a_2-a_1%3D40-31%3D9)
![a_3-a_2=49-40=9](https://tex.z-dn.net/?f=a_3-a_2%3D49-40%3D9)
![a_4-a_3=58-49=9](https://tex.z-dn.net/?f=a_4-a_3%3D58-49%3D9)
so
The common difference is equal to 9
We can write an Arithmetic Sequence as a rule:
![a_n=a_1+d(n-1)](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29)
where
a_n is the nth term
a_1 is the first term
d is the common difference
n is the number of terms
Find the 38th term of the arithmetic sequence
we have
substitute the values
![a_3_8=31+9(38-1)](https://tex.z-dn.net/?f=a_3_8%3D31%2B9%2838-1%29)
![a_3_8=31+9(37)](https://tex.z-dn.net/?f=a_3_8%3D31%2B9%2837%29)
![a_3_8=364](https://tex.z-dn.net/?f=a_3_8%3D364)
The answers in order is
Bc
Dc
Sas
Answer:
Answer and
Step-by-step explanation:
equation are attached
Answer:
6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
hyp = 3
×
= 3 × 2 = 6