Answer:
80/14=5.7 OR 5 14 IN.
Step-by-step explanation:
Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
Answer:
Step-by-step explanation:
-10 ( y-4) + 3y = 5 <--- substitute the value of x into first equation
-10y + 40 + 3y = 5
-7y + 40 = 5
-7y = -35
y= 5
x = 5 - 4
x = 1
Step-by-step explanation:
1.
2.
3.
- 485 - 319 = 166 more people
4.
- 14.5x + 80 > 500
- 14.5x > 420
- x > 420/14.5
- x > 29
5.
- 1.25x + 3 ≤ 28
- 1.25x ≤ 25
- x ≤ 25/1.25
- x ≤ 20 miles
6. <em>This seems a typo... 460 is likely $60</em>
- 60x + 145 ≤ 625
- 60x ≤ 625 - 145
- 60x ≤ 480
- x ≤ 480/60
- x ≤ 8 days
Answer: 2x^3 + 3x^2 - 11x - 6
Step-by-step explanation: simplified