Answer:
x = 15°
Step-by-step explanation:
7x + 28° = 133° { being vertically opposite angles }
7x = 133° - 28°
7x = 105°
x = 105° / 7
x = 15°
< WPZ = 133° {being vertically opposite angles }
OR
< WPZ = 7x + 28° = 7 * 15 + 28° = 133°
Hope it will help :)❤
a) Volume of Rectangular prism is 
b) Volume of cube is 
c) Volume of cube is 
d) Volume of Rectangular prism is 
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Part b)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part c)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part d)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Keywords: Volume
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Answer:
1.5 MPH
Step-by-step explanation:
3/4 = 0.75
3/4 x 2 = 0.75 x 2 = 1.5
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
__
B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
_____
<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
Answer:
1st Graph
Step-by-step explanation:
Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.