Answer:
60*100 divide 84
Step-by-step explanation
Answer:
Can't be solved.
Step-by-step explanation:
Answer: B = 43.9 , b = 18 71 , c = 8.45
Step-by-step explanation:
from the law of sine,
a b c
--------- = ---------- = ----------- a =25.3, C = 18.2 degree, A = 110.8 deg.
Sine A Sine B Sine C
to get the value of c,
a c
--------- = -----------
Sine A Sine C,
25.3 c
----------- = -------------
Sine 110.8 Sine 18.2
Now cross multiply to get the value of c
c x Sine 110.8 = 25.3 x Sine 18.2
Therefore c = 25.3 x Sine 18.2
------------------------
Sine 110.8
checking for Sine 18.2 in your log tables/calculators , ie, sine 18 under 2, = 0.3123 and sine 110.8 = 0.9348
c = 25.3 x 0.3123
--------------------
0.9348
= 8.45.
To get angle B, sum total of a triangle is supplementary ie, 180 degree.
meaning that A + B + C = 180
Therefore, angle B = 180 - ( 110.8 + 25.3)
= 180 - 136.1
= 43.9
Now to find b,
b c
------------- = ------------
Sine B Sine C
b 8.45
--------- = ------------
Sine 43.9 Sine 18.2
b x sine 18.2 = 8.45 x Sine 43.9
b = 8.45 x 0.6934
--------------------
0. 3123
b = 18.708
= 18.71.
The final Answer = B = 43.9, b = 18.71, c = 8.45
Arithmetic Sequence
The values of a and b is a = 2 and b=3
Step-by-step explanation:
Given the terms of the arithmetic sequence are
2 , a - b , 2a + b + 7, a - 3b
Let the common difference be D
Therefore,
The difference between the first two consecutive terms is
(a – b) – 2 = D ------------------------------( 1 )
The difference between the next two consecutive terms is
D = (2a + b+7) – ( a - b ) ---------------------(2 )
Equating equation 1 and equation 2
⇒ (a – b) -2 =(2a+b+7)-(a-b)
⇒ a – b – 2 = a + 2b +7
⇒ 3b = -9
⇒ b = -3
Similarly
The difference between the next two consecutive terms is
D = (a-3b)-(2a+b+7) ------- (3)
⇒ (a-3b)-(2a+b+7)=(2a+b+7)-(a-b)
⇒ a-3b)-(2a+b+7) -a - 4b -7 === a+2b+7
⇒ 2a = - ( 14 + 6b)
⇒ a = -( 7 + 3b)
⇒ a = - ( 7 – 3*3 )
Thus the value of a = 2
Hence , the values of a and b is a = 2 and b=3
To find the values of a and b in an arithmetic sequence, we can set up a system of equations using the given terms. Solving the system will give us the values of a and b.
Let's use the information given to find the values of a and b. We can set up a system of equations using the first four terms of the arithmetic sequence.
The first term is 2, so we know that: a-b = 2.
The second term is a-b, so we can write: a-b + d = 2a+b+7, where d represents the common difference.
The third term is 2a+b+7, so we have: a-b + 2d = 2a+b+7 + d.
The fourth term is a-3b, so we get: a-b + 3d = a-3b + 2d.
We can solve this system of equations to find the values of a and b.
After simplifying and solving the system, we find that a = 10 and b = 8.
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