Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
Answer:
there are 10 black pensoles
Step-by-step explanation:
Answer:
So, 13 - 20 ÷2 + 10 = 13 - 10 + 10 = 3 + 10 = 13 ;
Step-by-step explanation:
Answer:
5 hours
Step-by-step explanation:
Electrician got 90 for the first hour from the total bill, thus we can say:
330 - 90 = 240 remaining for remaining hours
$60 per hour, so $240 for how many hours?? We divide:
240/60 = 4 hours
So, electrician works 4 hours for 60 per hour = 2 * 6 = 240
and 1 hour for 90 (first hour) = 1 * 90 = 90
Total Bill is 240 + 90 = 330 {exactly what we have}
So we have checked and back-worked our problem to get electrician's total hours of work:
1 + 4 = 5 hours
Answer:
easy what's 5% of 3000 that's just for one year then multiple it by 4