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Dmitrij [34]
3 years ago
14

1.)Find the height of a rectangular prism if the surface area is 148 cm2, the width is 4 cm and the length is 5 cm.

Mathematics
1 answer:
Contact [7]3 years ago
5 0
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm 

2)
Volume of a rectangular prism= length x width x height 
therefore:
34 cm³=(1.7 cm)(0.5 cm) h
0.85 cm² h=34 cm³
h=34 cm³/0.85 cm²
h=40 cm.

answer: height=40 cm

3)
volume of a cylinder: πr²h
therefore.
118.79 ft³=πr²(5 ft)
r=√(118.79 ft³/5π ft)≈2.75 ft

answer: radius=2.75 ft

4)
 
Surface area of the pyramid with square base=4(A side)+A base
A side=(1/2)(8ft)(12 ft)=48 ft²
A base=(8 ft)(8 ft)=64 ft²

surface area=4(48 ft²)+64 ft²=256 ft²

Answer: the surface area of this pyramid would be 256 ft².

5)
surface of a cone=πrs+πr²
therefore:
radius=diameter/2=6.2 ft/2=3.1 ft
63.3 ft²=π(3.1 ft) s+π(3.1 ft)²
3.1π ft s=33.109 ft²
s=33.109 ft² /3.1π ft
s≈3.4 ft

Answer: the slant height would be 3.4 ft.

6)
volume of a square pyramid=(area of base x heigth)/3
therefore:
area of base=(6 ft)(6 ft)=36 ft²
126.97 ft³=36 ft² h /3
h=126.97 ft³/12 ft²=10.58 ft

answer: the height would be 10.58 ft.

7)
volume of a cone =(base x height)/3
base of a cone=πr²
therefore: 
199.23 cm³=πr²(9 cm)/3
r=√(199.23 cm³ / 3π cm)≈4.6 cm

answer: the radius would be 4.6 cm.

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The solution for the problem is:
I will first get the first five terms so that I could easily locate the third term of this problem:So, substituting the values:
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Answer:

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Step-by-step explanation:

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Step-by-step explanation: when looking for a plotted point, the x axis can drop down to negatives since they y axis is negative

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
- (22.03) About 90% of young adult Internet users (aged 18 to 29) use social network sites. Suppose that a sample survey contact
hjlf

Answer:

- Sample Proportion of 1500 young adult Internet users = 0.90

- Sample Mean of 1500 young adult Internet users = 1350

- Standard deviation of the sample proportion = 0.0077 to 4 d.p.

Step-by-step explanation:

The Central limit theorem explains that for a random sample obtained from an independent distribution, the sampling distribution is approximately normal, with a sample proportion that is approximately equal to the population proportion and the standard deviation of sample proportion is given as

σₓ = √[p(1-p)/n]

So, sample proportion = population proportion

p = p₀ = 90% = 0.90

Sample mean = np

where n = sample size = 1500

p = sample proportion = 0.90

Sample Mean of 1500 young adult Internet users = 1500 × 0.90 = 1350

Standard deviation of sample proportion

= σₓ = √[p(1-p)/n]

= √(0.90×0.10/1500) = 0.0077459667

= 0.0077 to 4 d.p.

Hope this Helps!!!

8 0
3 years ago
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