Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
For this case we have the following system of equations:

From the first equation we clear "x":

We substitute in the second equation:

We apply distributive property:

We add similar terms:

We add 65 to both sides:

We divide between 22 on both sides:

We look for the value of the variable "x":

Thus, the solution of the system is:

ANswer:

Answer:
A) $1.60
B) $13.60
C) 3 1/4 lb
Step-by-step explanation:
What we know:
A farmer uses the equation <em>c </em>= 1.6<em>p </em>to calculate the total cost, <em>c</em>, for <em>p </em>pounds of apples.
A) 1 pound would cost $1.60, as that is the unit rate.
B) 8.5 * 1.6
8.5 + (0.6 * 8.5)
8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.
C) 5.2/1.6
52/16
13/4 = 3 1/4 lbs of apple for $5.20
Answer:
D.) Add 16 to both sides of the equation
Step-by-step explanation:
By adding 16 to both sides, you are eliminating the -16 on the left. You must do it to both sides in order to balance the equation.