The surface area of the shape is 194 square units and the volume of the figure is 620 cubic feet
<h3>The surface area of the shape</h3>
To do this, we simply calculate the area of each face, and add up the individual areas.
So, we have:
Surface area = Top areas + 2 * Side areas + Back area
This gives
Surface area = (6 * 4 + 3 * 4 + 5 * 4 + 3 * 4) + 2 * (6 * 6 + 5 * 3) + 6 * 4
Evaluate
Surface area = 194
Hence, the surface area of the shape is 194 square units
<h3>The volume of the shape</h3>
To do this, we simply calculate the volume of the box, and the volume of the prism, then add up the individual areas.
So, we have:
Volume = Box + Prism
This gives
Volume = 10 * 8 * 6.5 + 0.5 * 8 * 10 * 2.5
Evaluate
Volume = 620
Hence, the volume of the figure is 620 cubic feet
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This is an examination to test your level of skill. By asking this quesiton to others, you do not show your true level and maybe be placed in a higher math than you are able.
factor
remember
if ab=0
assume that a and/or b=0
p^2+13p-30=0
fidn what 2 numbers add to 13 and multiply to -30
15 and -2
(p+15)(p-2)=0
set each to zero
p+15=0
p=-15
p-2=0
p=2
the roots are p=-15 and/or 2
Answer:
The answer is C I believe.
Step-by-step explanation:
Answer:
AB = 42.15 units
Step-by-step explanation:
In triangle ABD,
By applying Cosine rule in this triangle,
cos(30)°= 
= 
AD = 
By applying tangent rule in ΔACD,
tan(44)° = 
tan(44)° = 
0.9657 = 
0.9657 = 
x = 
x = 42.15
≈ 42.2 units
Answer: The Expression is Equivalent, However, NOT completely factored.
Step-by-step explanation:
3x^2 - 12
Following:
3 ( x^2 - 4 )
Factor:
3x^2 - 12
Factor Out Common Term 3:
3 ( x^2 - 4 ) = 3 (x^2 - 4 )
Factor:
x^2 - 4
( x + 2 ) ( x - 2 )
Answer:
3 ( x + 2) ( x - 2)
Hence, The Expression is Equivalent, However, Wasn't Completely Factored.
Hope that helps!
