What is the volume of this right triangular prism?

A. 180 cubic centimeters

B. 120 cubic centimeters

C. 90 cubic centimeters

D. 60 cubic centimeters

Option C:

The volume of the right triangular prism is 90 cubic centimeter.

Solution:

Base of the prism = 5 cm

Height of the base = 6 cm

Length of the prism = 6 cm

Volume of the right triangular prism:

V = 90 cubic centimeter

The volume of the right triangular prism is 90 cubic centimeter.

Option C is the correct answer.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: