Answer: 165 in length 20 in width
Step-by-step explanation: :)
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:

where

is the volume

is the radius

is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:

. We also know that the radius is r cm and height is h cm, so

and

. Lets replace the values in our formula:





Next, we are going to use the formula for the area of a cylinder:

where

is the area

is the radius

is the height
We know from our previous calculation that

, so lets replace that value in our area formula:



By the commutative property of addition, we can conclude that:
Well, the X component (assuming x is the horizontal) is equal to RCosZ
Where Z is the angle and R is the size of the resultant
Substitute into formula :
X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)
The vertical component (or Y component) is equal to RSinZ
Vertical component = RSinZ
= 4.24264... × Sin135°
= 3
The answer is 3
Please feel free to ask any questions you have
Each of the triangles are equal in base length, height, and area<span>. Remember the formula for the </span>area<span> of a triangle. The </span>area<span> of any triangle is 1/2 times the length of the base (which, in the </span>polygon<span>, is the length of a side) multiplied by the height (which is the same as the apothem in </span>regular polygon<span>).
</span>
The 3 inside angles need to equal 180 degrees.
Angle K is given as 48 degrees.
Angle M would be 90 degrees.
Angle J = 180 - 90 - 48 = 42
Angle J = 42 degrees