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Fiesta28 [93]
3 years ago
7

According to Cavalieri’s Principle, if a cone and a pyramid have the same height, which of the following answer choices is true?

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Option (C).

Step-by-step explanation:

If a cone and a pyramid have same height,

Volume of a cone = \frac{1}{3}(\text{Area of the base})\times (\text{height}))

                              = \frac{1}{3}(A_{1})\times (h)

Volume of a pyramid = \frac{1}{3}(\text{Area of the base})\times (\text{height})

                                   = \frac{1}{3}(A_{2})(h)

As we can see if area of the bases of cone and pyramid are same, their volumes will be same.

Cavalier's Principle states, two solids having same heights and all cross sections of equal areas at the equal distances from the base, will have the same volumes.

Therefore, as per Cavalier's Principle, option (C) will be the answer.

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Answer: A

Step-by-step explanation: Complementary angles must add up to 90 degrees.

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n the problem 5 divided by one-half, Joanne and Oliver are finding how many halves are in 5. What picture could you draw to repr
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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
“the perimeter of the rectangle below is 90 units. find the length of side PS. write your answer without variables.”
Rzqust [24]

Answer:

19

Step-by-step explanation:

The opposite sides are equal, so:

PS = 3y+1

RS = 4y+2

QR = 3y+1

PQ = 4y+2

Therefore, we can set the perimeter 90 = PS+RS+QR+PQ

90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,

90 = 2(3y+1) + 2(4y+2)

90 = 6y+2 + 8y+4

90 = 14y + 6

84 = 14y

y = 6

Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y

3(6)+1

18 + 1 = <u>19</u>

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Joe won a lottery jackpot that will pay him $12000.00 eachyear
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3 years ago
There were 6 purple socks and 4 oraange socks without looking and then another without looking (or replacing the first). What is
shusha [124]

Answer:

The probability that he picked 2 purpled socks is <u>0.33</u>.

Step-by-step explanation:

Given:

Number of purple socks, n(P) = 6

Number of orange socks, n(O) = 4

Two socks are picked without replacement.

Now, total number of socks, n(T)=N(P)+n(O)=6+4=10

Probability of picking the first cap as purple cap is given as:

P(P1)=\frac{n(P)}{n(T)}\\\\P(P1)=\frac{6}{10}=\frac{3}{5}

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.

Therefore, probability of picking the second cap as purple cap is given as:

P(P2)=\frac{n(P)-1}{n(T)-1}\\\\P(P2)=\frac{5}{9}

Now, probability that both the picked caps are purple is given by their probability product. This gives,

P(P1\ and\ P2)=P(P1)\times P(P2)\\\\P(P1\ and\ P2)=\frac{3}{5}\times\frac{5}{9}\\\\P(P1\ and\ P2)=\frac{3}{9}=\frac{1}{3}=0.33

Therefore, the probability that he picked 2 purpled socks is 0.33

4 0
3 years ago
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