The surface area of a prism can be found by using this formula:
<span>SA=bh+(s1+s2+s3)H</span>
Answer:
The multiplication property of zero
Step-by-step explanation:
Proof: 
and 
are isosceles triangles.
Explanation: Given in 
D and E are angle bisector of 
and 
respectively.
Where G and H are points in AB such that 
and 
.
Let us take two triangles 
and 
(Right angles)
BE=BE, (common segment)
( Because BE is angle bisector)
Thus, 
(ASA)
Therefore, EH= CE (CPCT)
So, in , EH=CE ⇒ is an isosceles triangle.
Now, in 
and 
,
(Right angles)
AD=AD (common segment)
( Because AD is angle bisector)
⇒
(ASA)
Thus, CD=DG (CPCT)
So, in , CD=DG ⇒ is an isosceles triangle.
The answer is A) -3, Hope this helps
Answer: The height is roughly 20 mm
------------------------------------
Explanation:
Let's find the area of the circular base
This circle has a radius of 12, so r = 12
Plug this into the area of a circle formula to get...
A = pi*r^2
A = pi*12^2
A = pi*144
A = 144*pi
A = 144*3.14 <<-- replace pi with 3.14
A = 452.16
The area of the circle is roughly 452.16 square mm
There are two of these faces, so 2*A = 2*452.16 = 904.32 represents the total base area
The lateral surface area is unknown. Let's call it L for now. If we add the total base area (904.32) to the lateral surface area (L), we would get the complete surface area which is given to be 2411.52
So,
904.32+L = 2411.52
904.32+L-904.32 = 2411.52-904.32
L = 1507.2
The lateral surface area is roughly 1507.2 square mm
The formula for the lateral surface area of a cylinder is
L = 2*pi*r*h
We found L = 1507.2 and we know that r = 12, so let's use this to find h
L = 2*pi*r*h
1507.2 = 2*3.14*12*h
1507.2 = 75.36*h
1507.2/75.36 = 75.36*h/75.36
20 = h
h = 20
The height is roughly 20 mm
