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Tanya [424]
3 years ago
8

Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel

disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why? Paul Manuel The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(82) = 200.96 cm2. The volume of cone W is (area of base)(h) = one third (200.96)(5) = 334.93 cm3. The volume of square pyramid X is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. The volume of square pyramid X is three times the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(82) = 200.96 cm2. The volume of cone W is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. The volume of square pyramid X is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X. Paul's argument is correct; Manuel used the incorrect base area to find the volume of square pyramid X. Manuel's argument is correct; Paul used the incorrect formula to find the volume of square pyramid X. Manuel's argument is correct; Paul used the incorrect base area to find the volume of square pyramid X.
Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

b

Step-by-step explanation:

answer is b on edg

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Hey, can anyone solve this real quick? (It's pretty easy but my brain has melted today.)
mylen [45]

Answer:

7581, sorry if wrong

Step-by-step explanation:

9.5 times 9.5 = 90.25

90.25 times 12 = 1083

1083 times 7 = 7581

3 0
2 years ago
Read 2 more answers
Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find
olga55 [171]

Answer:

14\text{ and }16

Step-by-step explanation:

Let the smaller number be x. Since they are consecutive even numbers, the larger number can be represented by x+2.

Therefore, we have the following equation:

8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}

Thus, the larger number is x+2=\boxed{16}

6 0
2 years ago
Q2.
Nimfa-mama [501]

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and   B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

----------------

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

----------

(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

7 0
3 years ago
Which relation is a function?
Artemon [7]

Answer:

The <u>last graph</u> is a <u>function.</u>

Step-by-step explanation:

They are reflected off of each other, aka they are in an organized pattern. The other graphs are a series of random plots, meaning they have no function.

4 0
3 years ago
Read 2 more answers
1. A random sample of 2,000 households are selected for telephone interviews with the following results: 432 Completed interview
fenix001 [56]

The response rate is 52.021%.

Given a random sample of 2,000 households are selected for telephone interviews in which 432 interviews are completed, 586 are refused by the respondent, 902 do not answer or are not at home and 80 are non-working numbers.

Total Number of sample, S =2000

Completed interview, C = 432

Refusal by the Respondent, R = 586

No answer/ not at home , N = 902.

Non - working Numbers, NW = 80.

From the above data, we got responses from completed interviews and refusals by respondents.

so responded number (RN) is

RN=C+R

RN= 432+ 586

RN= 1018.

The actual number of samples =Total samples - non-working samples Actual number of samples=2000-80

The actual number of samples=1920

And the response rate (RR) is

RR=1018÷1920

RR=0.52021

Hence, the response rate from 2000 households which are selected for telephone interviews is 0.52021.

Learn more about probability from here brainly.com/question/15008646

#SPJ4

4 0
1 year ago
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