Calculate the volume of the composite solid. a.) 175.1 b.) 191.1 c.) 255.1 d.) 355.1

B.) 191.10

Step-by-step explanation:

The given figure has two figures.

1. A cuboid with dimensions 7 cm, 6 cm and 3.55 cm.

2. A pyramid with rectangular base and dimensions 7 cm, 6 cm and 3 cm.

Now we will find the volumes of both the figures, and add them up to get the final volume of complete figure.

The volume of cuboid =

=> cubic cm.

And volume of rectangular pyramid =

= = 42 cubic cm

So, the total volume of the figure = cubic cm.

Therefore, the answer is option B.

the correct answer is 5

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.