9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
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b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
Answer:
C.
Step-by-step explanation:
please mark brainlist
Answer:
C
Step-by-step explanation:
The equation of a line is given by the formula 
Where
is the x-coordinate (it is given as 5)
is the y-coordinate (it is given as 1), and
m is the slope (it is given as -3)
Plugging in all the info into the formula we have:

From the answer choices, we see that C is the correct answer.
Hi there! :) :D
Step-by-step explanation:


<u><em>Undefined.</em></u>
<u><em>Therefore, the slope is -11/0</em></u>
<u><em>Final answer is -11/0</em></u>
Hope this helps!
Thanks!
Have a nice day! :)
:D
-Charlie
Answer:
B
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = area of triangular face × length
Area of triangle =
bh ( b is the base and h the height )
Here b = 6 and h = 8, thus
Area =
× 6 × 8 = 3 × 8 = 24 units², thus
V = 24 × 20 = 480 units³ → B