Consider two congruent triangular prisms. each rectangular face of prism a has a width of x + 2 and each rectangular face of prism b has a length of 2x + 1. if each rectangular face of prism a has an area of 5x + 10, what is the volume of prism b? (round to nearest whole number in cm3)

Step-by-step explanation:

Width of rectangular face of  prism A = x+2

Area of rectangular face of prism A = 5x+10

So, length of rectangular face of prism A =

Now , the length of rectangular face of prism B is 2x+1

Since we are given that the prisms are congruent

So, Length of rectangular face of both prisms must be equal

So,

So,the length of rectangular face of prism B = 2x+1 = (2*2)+1=5

Thus the height of prism = 5 cm

Volume of prism =

                            =

Where a is the side of triangle

Side of triangle = width = x+2=2+2=4

So, Volume of prism =

                                   =

                                   =

Hence the volume of prism is    

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the answer is -1 for this question

step-by-step explanation: