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Ludmilka [50]
3 years ago
14

The North Star is approximately 4,085 trillion kilometers away from earth. If 1 light

Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

I don't get the question meaning

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An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
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7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

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15π / 2π = 7.5 m

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What's 76 divided by 9 equals something or 9 / 76 equals something what's the answer easy one
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Are is the Triangle SWT and triangle SVU similar? What would be the answer?
kondaur [170]

Answer:

A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity

Step-by-step explanation:

SSS:

ST/SU = SW/SV = WT/VU

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6/7 = 6/7 = 6/7

SAS:

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4 0
3 years ago
A. Describe the connection of the pattern of outcomes to Pascal’s triangle.
pychu [463]

Answer:

The answer to the question is;

A. The pattern of outcomes of 0 heads, 1 head, 2 heads ... n heads when arranged in the Pascal's triangle is given by the row of the triangles with the lowest at the edges and highest  outcome in the middle potion of the rows in the Pascal's triangle.

B. The number of total possible outcomes in a row n is 2ⁿ.

Step-by-step explanation:

To solve the question, we note that.

Pascal's triangle is an important sequence of numbers formed by starting with 1 at the top of the triangle followed by 1s on the outer edges of the triangle and the numbers directly below two adjacent numbers is the sum of the two adjacent numbers.

In probability theory, such as in throwing a coin,  Pascal's triangle indicates the number of possible heads obtained when n number of coins is thrown, that is, 0 heads, 1 head 2 heads etc. as follows

Number of coins                          Possible head outcome             Total outcome

0 coin                                                      1                                                 1

1 coin                                                      1  1                                               2

2 coins                                                  1  2 1                                             4

3 coins                                                 1  3  3 1                                          8

4 coins                                               1  4  6 4  1                                       16

The above triangle means that when

0 coin is flipped, the number of 0 heads is  1

1 coin  is flipped, the number of 0 heads is 1 (T) and 1 head is 1 (H)

2 coins are flipped, the number of 0 heads is 1, (TT), 1 head is 2 (TH), (HT) and 2 heads is 1 (HH)

3 coins are flipped 0 heads = 1 (TTT), 1 head = 3, (TTH), (THT), (HTT), the number of 2 heads = 3, (HHT), (HTH), (TTH) and the number of 3 heads = 1, (HHH).

B. The pattern in the number of total possible outcomes is

1, 2, 4, 8, 16 which is =2 raised to the power of the number of coin tossed for a particular row as follows

Number of coin tossed = 0  = 2⁰ = 1 = Total possible outcome

Number of coin tossed = 1  =  2¹ =  2 = Total possible outcomes

Number of coin tossed = 2  = 2² = 4 = Total possible outcomes

Number of coin tossed = 3  = 2³ = 8 = Total possible outcomes

Number of coin tossed = 4  = 2⁴ = 16 = Total possible outcomes

Therefore total number of possible outcome = 2ⁿ where n = number of coins tossed.

6 0
3 years ago
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