The volume is 336 cubic feet
6x8x3 = 144
8x4x6= 192
144+192=336
Answer:
AB/DE=BC/EF=AC/DF
Step-by-step explanation:
Corresponding segments are designated by letters in corresponding positions in the triangle names. For example, of one segment is designated using the 1st and 2nd letters of one triangle name (such as AB), then the corresponding segment is designated using the 1st and 2nd letters of the other triangle name (such as DE).
Corresponding segments are proportional in length. Corresponding angles are congruent.
Answer:
The sequence converges to 1
Step-by-step explanation:
Given

Require
Description of the sequence
The given sequence follows:

i.e.

For every term,

In other words,
as the value of n increases,
approaches 1
<em>Hence, (c) is true</em>
Write out all the pairs of numbers which can be multiplied to produce c.
Add each pair of numbers to find a pair that produce b when added. ...
If b > 0, then the factored form of the trinomial is (x + d )(x + e). ...
Check: The binomials, when multiplied, should equal the original trinomial.
Answer:
x = 2.25, y = 2.5
Step-by-step explanation:
-2x + 2y = -2 .............equ (1)
2x + 3y = 12 .............equ (2)
equ (1) + equ (2)
-2x + 2y = -2
+ 2x + 2y = 12
=> 0 + 4y = 10
=> 4y/4 = 10/4
=> y = 2½
Substitute for y in equ (2)
i. e, 2x + 3y = 12
=> 2x + 3(10/4) =12
=> 2x + 30/4 = 12
=> 2x = 12 - 30/4
=> 2x = (48 - 30)/4
=> 2x = 18/4
=> 8x = 18
=> x = 18/8
=> x = 2^2/8 or 2.25
x = 2.25, y = 2.5