Part A Simplify:
Answer is - 12b + 6c + 18
Part B
Answer is (D)
Factor/simplify
- 12b + 6c + 18
6(- 2b + c + 3)
= (6)(- 2b + c + 3)
= (6)(- 2b ) + (6)(c) + (6)(3)
= - 12b + 6c + 18
therefore,- 12b + 6c + 18; Factored in GCF is 6(-2b + c + 3)
- 12b + 6c + 18
reorder the terms
18 + 12b + 6c
Factor out the GCF " 6"
6(3 + 2b + c)
Final Result:
6(3 + 2b + c)
Hope this helps
Answer:
y=x+20
Step-by-step explanation:
Answer:
The answer is 3030.72 m³
Step-by-step explanation:
Please refer to attached file for graphical representation.
Formulas used:
Area = (a*b)/2
Trigonometry: Tan (t) = opposite/adjacent
Assume:
Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B
Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x
Angle common between them is t.
<u>Step 1</u>:
For t:
Tan (t) = a/b
Tan (t) = 123/50
Tan (t) = 2.46
<u>Step 2:</u>
For y:
Tan (t) = y/x
2.46 = y/6
y = 2.46*6
y = 14.76
<u>Step 3:</u>
Villagers old plot area: B = (a*b)/2 = (123*50)/2
B = 3075 m³
<u>Step 4:</u>
Plot donated area: C = (x*y)/2 = (6*14.76)/2
C = 44.28 m³
<u>Step 5:</u>
Villager remaining plot:
A = B-C
A= 3075-44.28
A = 3030.72 m³
