Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
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Answer:
Step-by-step explanation:
See attachment for the figure
Volume of pyramid can be defined as
V = 1/3 x area of the base x height.
-> Pyramid A:
Volume of Pyramid can be determined by:
V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³
Pyramid B:
Volume of Pyramid can be determined by:
V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³
Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³
By Rounding the volumes to the nearest tenth of a centimeter
1.17cm³ ≈ 1.2cm³
Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³
Answer= 60
-10w =-10 • w, w=-6
-10•-6
60. You don’t include the negative because a negative times a negative= positive
Answer: Option D
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
If we have a main function 
And we perform the transformation:

Then it is fulfilled that:
If
the graph of f(x) moves horizontally h units to the left
If
the graph of f(x) moves horizontally h units to the right
If we have a main function 
And we perform the transformation:

Then it is fulfilled that:
The graph of g(x) is equal to the graph of f(x) reflected on the x axis
In this case we have to:
and 
Therefore
and 
This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.