Answer:

Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.




The surface area for the pink rectangular prism is
.
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.




The surface area for the green rectangular prism is 144
.
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.


----------------------------------------
Hope this is helpful.
Answer:
3.5×10^4=35000
Step-by-step explanation:
Consider the value
3.5
we are saying that we are counting in units (1's) in that we have
3
1
2
of 1's
'.....................................................................................
Consider the value
3.5
×
10
. Now we are saying we have
3
1
2
of tens. That is; 3 lots of 10 is 30 and
1
2
of 10 is 5 so we have
30
+
5
=
35
'.................................................................................
Note that
10
2
is 100
Consider the value
3.5
×
10
2
. Now we are saying we have
3
1
2
of
100
'
s
So if we are counting in 100's then the decimal point stays where
it is and we move the number of 3.5 to the left until the
3 becomes hundreds.
Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.
3.5
×
10
2
−−−−−−−−−−−−−−−−−−→
slide to the left 2 places
350.0
There exists a trigonometric identity which states that,
sin (A - B) = sin A cos B - cos A sin B
This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
sin (57° - 13°) = sin 44°
Answer:
x=6
Step-by-step explanation:
The sum of the angles is a right angle, which is 90 degrees
5x+ x+54 = 90
Combine like terms
6x+54 = 90
Subtract 54 from each side
6x+54-54 = 90-54
6x = 36
Divide each side by 6
6x/6 = 36/6
x= 6