The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.
The Law of Sines tells you
... FL/sin(∠K) = FK/sin(∠L)
Solving for FL, we get
... FL = FK·sin(∠K)/sin(∠L)
... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)
... FL = 2a·sin(105°) ≈ 1.93185a
The answer is 5x + 30 = 12x
x - the number of pies
It costs her $5 to make each pie<span>, plus a one-time cost of $30 for baking supplies:
</span>COST: f(c) = 5x + 30
<span>She plans to sell the pies for $12 each:
PROFIT: f(p) = 12x
</span><span>To find the number of pies she needs to sell to break even:
f(c) = f(p)
5x + 30 = 12x</span>
Answer:
-3
4
Step-by-step explanation:
You need to take something called the dot product
The required maximum value of the function C = x - 2y is 4.
Given that,
The function C = x - 2y is maximized at the vertex point of the feasible region at (8, 2). What is the maximum value is to be determined.
<h3>What is the equation?</h3>
The equation is the relationship between variables and represented as y =ax +m is an example of a polynomial equation.
Here,
Function C = x - 2y
At the vertex point of the feasible region at (8, 2)
C = 8 - 2 *2
C= 4
Thus, the required maximum value of the function C = x - 2y is 4.
Learn more about equation here:
brainly.com/question/10413253
#SPJ1
Y=1/2x+2 since the slope is 1/2 and the y intercept is 2
