The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>
Answer:
We can have two cases.
A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.
A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.
Where for a generic function:
y(x) = a*x^2 + b*x + c
The vertex is at:
x = -a/2b
and the maximum value is:
y(-a/2b)
-x/8<-1/2. Use the reverse order of operations to solve this. So, as both sides are negative, multiply them by -1 to get you to x/8>1/2, as multiplying by a negative flips the symbol. Solve that by multiplying 1/2 to 8/1. Multiply the numerators and denominators, to give you 8/2. Simplified, x>4
Full price of popcorn: $3.50
Price of popcorn after half the movie: $1.75
price of drinks: $1.35
The question is....."Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over."
$1.75*3=$5.25
$1.35*3=$4.05
the price of the 3 orders of popcorn would be $5.25
The price of the 3 orders of drink would be $4.05
5.25 + 4.05 = $9.30
In total the 3 orders of popcorn and 3 orders of drink would cost $9.30
Hope this helps! :)
Answer:
1.35
Step-by-step explanation:
13.5/100 times 10 = 1.35
