Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2 A = 15 m x 30 m A = 30 m x 18 m
= (18 m x 12 m )/2 = 450 m^2 = 540 m^2
= 216 m ^2/2
= 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2
= 216 m^2 +1080 m^2 + </span><span>450 m^2
= 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.</span>
Answer:
149.28 sq. inches
137.5 cubic inches.
Step-by-step explanation:
The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.
Now, total surface area of the container = 
= 
= 39.28 + 110
= 149.28 sq. inches (Answer)
Again the volume of the container will be 
= 
= 137.5 cubic inches. (Answer)
The volume of the prism is 40 because 5 x 8 =40
Answer:
4365.5 or 4365 1/2
Step-by-step explanation:
When you divide 8731 by 2 you will get a decimal.
But you will also get a fraction which is 4365 1/2.
Now you will have to answer with the for that best fits your problem.
