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))
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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
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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
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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
Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)
Answer:
1. Infinitely Many Solutions
2. Zero Solutions
3. One Solution ( x = 6 )
Step-by-step explanation:
1.
12x + 8 = 2( 6x + 4 )
12x + 8 = 12x + 8
2.
2( 2x + 1 ) = 4x + 3
4x + 2 = 4x + 3
2 = 3
3.
4( x + 1 ) = 3x + 10
4x + 4 = 3x + 10
x + 4 = 10
x = 6
Hopefully this helps!
Brainliest please?
Answer:
9 and 10
Step-by-step explanation:
The sqaure root of 85 is 9.21954445729.
9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.
Answer:
1 and 1/4 of a mile each week
Step-by-step explanation:
