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Arte-miy333 [17]
3 years ago
5

Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0
4^2 + b^2 = 12^2
16 + b^2 = 144
B^2 = 144-16
B^2 = 128
B= 11.3
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Part 2. Laws of sines. Please show work​. Round answer to the nearest tenth.
Bingel [31]

Answer:

5) 30.0m

6) 34.0mi

7) 11.0ft

8) 17.0 km

(all rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

6 0
2 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
Which digit is in the tenths place 314.902
ololo11 [35]
Nine is in the tenths place

4 0
3 years ago
Read 2 more answers
What’s does 5x6 equal?
AveGali [126]

Answer:

30

Step-by-step explanation:

5+5+5+5+5+5 =

30

5 0
3 years ago
Read 2 more answers
Solve the question on the picture if it is wrong
romanna [79]

Given:

Cost of 1 digital song = $1.05

Cost of 2 digital song = $2.10

Cost of 5 digital song = $5.25

To find:

The equation and the cost of 25 downloaded digital songs.

Solution:

Let us take two points (1, 1.05) and (2, 2.10).

Here x_1=1, y_1=1.05, x_2=2, y_2=2.10

Slope:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{2.10-1.05}{2-1}

m = 1.05

Using point-slope formula:

y-y_1=m(x-x_1)

y-1.05=1.05(x-1)

y-1.05=1.05x-1.05

Add 1.05 on both sides, we get

y=1.05x

Here x is the independent variable and c is the dependent variable.

So that substitute x = n and y = c.

c=1.05n

The equation is c = 1.05 n.

Substitute n = 25 in the equation.

c=1.05(25)

c=26.25

The cost of 25 songs is $26.25.

8 0
3 years ago
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