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
Answer:
1) x=9
edit:
2) x=25
Step-by-step explanation:
Since all angles added together in any triangles is 180,
we can conclude that
180=(7x-1)+(5x+2)+(7x+8)
solving for x:
180=19x+9
180-9=19x
171=19x
x=9
Edit:
2)since we are given the outside angle we have to find the inside one first before finding the other angles, a straight line is 180 degrees aswell, so 180-(3x-10) would give you the inside angle in terms of x
so adding them all together again should ewual 180:
180=(180-(3x-10))+25+(x+15)
180=180-3x+10+25+x+15
0=-2x+50
2x=50
x=25
Answer: 6 times.
Step-by-step explanation:
Given: Ivan earns $8 every time walks his neighbor's dog.
To earn $81, the number of times he need to walk
Therefore, the number of times he need to walk=11
If he already walked the dog 5 times.
Then he need to walk the dog =11-5=6 times
Hence, Ivan need to walk the dog 6 more times to earn $88.
(PLEASE EXPLAIN WHY)