Answer:
c(3c - 1)
Step-by-step explanation:
3c² - c
Common factor = c
Factored:
c(3c - 1)
42 degrees. Comment down if you need the explanation why
Answer:
a = 7, b = 
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
a ×
= 7
( divide both sides by
)
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° =
, then
tan60° =
=
=
=
( multiply both sides by b )
b ×
= 7 ( divide both sides by
)
b =
×
= 
You have the right idea and you are close to the correct answer. However that's not what your teacher is looking for in terms of steps.
The starting inequality is

She starts off selling 8 buckets. Then she sells b more to get a total of b+8
This total must be 20 or larger which is why I set b+8 greater than or equal to 20
Solve for b by subtracting 8 from both sides



So she needs to sell at least 12 more buckets to reach her goal
If you graphed this on a number line, then you would draw a closed circle at 12. Then shade to the right of the close circle.