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2 years ago

A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree

Mathematics

1 answer:

IgorLugansk [536]2 years ago

3 0

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

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What is the next terms in the sequence :5;9;13;17

gulaghasi [49]

Answer:

21,25,29,33

Step-by-step explanation:

4 0

2 years ago

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Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on th

grigory [225]

Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

Analysing the question one statement at a time.

Before the face with 3 is loaded to be twice likely to come up.

The sample space is:

$S = \{1,1,2,2,2,3\}$

And the probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{6}$

$P(1) = \frac{1}{3}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{6}$

$P(2) = \frac{1}{2}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{6}$

P(Odd Number) is then calculated as:

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{6}$

$P(Odd\ Number) = \frac{3}{6}$

$P(Odd\ Number) = \frac{1}{2}$

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

$S = \{1,1,2,2,2,3,3\}$

The probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{7}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{7}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{7}$

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{7}$

$P(Odd\ Number) = \frac{3}{7}$

Comparing P(Odd Number) before and after

$P(Odd\ Number) = \frac{1}{2}$ --- Before

$P(Odd\ Number) = \frac{3}{7}$ --- After

We can conclude that the change to the face 3 affects the value of P(Odd Number)

7 0

2 years ago

The circumference of a circle is 60 pi cm. What is the length of an arc of 140 degrees

son4ous [18]

circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =

60*PI cm * (140 / 360)
arc length = 23.33333 cm

8 0

2 years ago

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Manny's parents came in to eat and he waited on them. Their bill was $45.20, and they left him a 35% tip. How much was his tip?

Sav [38]

Step-by-step explanation:

Use the equation ?/45.20 = 35\100 and what you get is your answer

Hope this helps

8 0

2 years ago

The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?

larisa [96]

an = a1+ d(n-1)

a1 =14

an=206 when n=25

206 = 14 + d (25-1)

206 = 14 + d * 24

subtract 14 from each side

192 = 24d

divide by 24 on each side

d=8

The common difference is 8

3 0

2 years ago

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