For this case what we must do is use the law of cosines.
We then have the following equation:
Where,
a, b: sides of the triangle
x: angle between sides a and b.
Substituting values we have:
Clearing the value of c we have:
Answer:
An expression that is equivalent to how many feet the oak trees are from each other is:
Answer: 3rd brand.
Step-by-step explanation:
1st brand:
6 oz cost $1.25
The amount per ounce will be:
= $1.25/6
= $0.21
2nd brand:
8 oz cost $1.33
The amount per ounce will be:
= $1.33/8
= $0.17
3rd brand:
12 oz cost $1.50
The amount per ounce will be:
= $1.50/12
= $0.125
4th brand:
16 oz cost $2.10
The amount per ounce will be:
= $2.10/16
= $0.13
From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as 
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let 
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.
We can break this complicated looking shape into two more familiar ones, an icosoles triangle and a rectangle. Using the area of a triangle formula (base*height)/ 2, we get (3*6)/2=18/2= 9. Next, we multiply 8 by 16 to solve for the rectangle and get 128. We add 9 and 128 to get 137.
Your answer is 137.
Answer: d
Step-by-step explanation:
