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
Answer:
4.(a) y = -2x + 5
Step-by-step explanation:
You set up a proportion. first, put the percent so if it's 30 percent, it would be 30 over 100. Then, set up the second part. is over of.
Answer:
Both distances are in the scientific notation:
Earth - Sun = 9.3 * 10^7 miles
Saturn - Sun = 8.87 * 10^8 miles
8.87 * 10^8 - 9.3 * 10^7 =
= 88.7 *10^7 - 9.3 * 10^7 =
= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles
Answer: Saturn is 7.94 * 10^8 miles farther from Sun than Earth is.
Step-by-step explanation:
I hope this helps you :)
-KeairaDickson
