Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
Because the bottom part of the upper piece is not visible, the area is calculated as:
This gives:
For the bottom piece:
We calculate its area as . However, the area of the invisible part will be subtracted.
So, we have:
The total surface area is:
Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Answer:
False
Step-by-step explanation:
the <u>dot product</u> between two vectors A and B is:
A·B=AB
where 
is the angle between the vectors, if they are parallel, this angle is zero. so 
and so the dot product is:
A·B =AB
and since 
the dot product is equal to
A·B=AB
The dot product of parallel vectors is NOT zero
Hey there :)
( a + b )( a² - ab + b² )
Let us distribute ( a + b )
a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³
We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0
a³ + b³
You can see in the picture I have attached that this is the
7th formula
2p-b=c-ap
2p+ap=c+b
p(2+a)=c+b
So, p=(c+b)/(2+a)
