<u>Answer:</u>
The correct answer option is C. S = 54.6°.
<u>Step-by-step explanation:</u>
We are given a right angled triangle with two known sides, 
and 
.
We are to find the value of the angle 
.
For that, we will use sine.
S = 54.6°
X=-2x-5 x=3
x=-2(3)-5
x=-6-5
x= -11
Answer:
a) V(x) = x ( 60 -2x )( 15-2x )
b) 0.55 inches ≤ x ≤ 6.79 inches
c) x ≥ 6.79 inches
Step-by-step explanation:
Given data:
No top, cardboard dimensions ; 15-in by 60-in
a) A function for the volume of the box as a function of x the Volume can be represented by this function below
= V(x) = x ( 60 -2x )( 15-2x )
where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
b) determine x so that the volume of the box ≥ 450 inches
450 = x( 60 - 2x ) ( 15 -2x ) ( solving the equation )
0.55 inches ≤ x ≤ 6.79 inches
c ) The value of x for which volume of the box is maximum
will be x ≥ 6.79 inches
