Answer:
Below in bold.
Step-by-step explanation:
sin 66.4 = opposite side / hypotenuse
sin 66.4 = 21.3 / y
y = 21.3 / sin 66.4
y = 23.24.
tan 66.4 = 21.3 / x
x = 21.3 / tan 66.4
x = 9.31.
Answer:
dy/dx = x=-1
Step-by-step explanation:
by use of intergration to get the values of yaxis and x axis,,the values are -2, -4,
Step 1. Solve both inequalities for

:




Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines

and

:

(1)

(2)
Replace (1) in (2):

Solve for

:


(3)
Replace (3) in (1):



We can conclude that the point (-2,3) is in the solution of the system if <span>
inequalities</span>
; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.
Answer:
Big Smiles Toy Company should choose Box B as its volume is 82.5
larger than Box A
Step-by-step explanation:
Given
Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height
Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height
Volume of Box A= Length
width
height=
Volume of Box B =Length
width
height= 
Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5
Box B has 82.5
volume larger than Box A
Assuming you meant 2+3(67x34)=y
67x34=2278
2+3(2278)=y
5(2278) or 5x2278=y
y=11390