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sesenic [268]
3 years ago
11

Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Answer:

it is b

Step-by-step explanation:

Furkat [3]3 years ago
5 0

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

\cos (M)=\dfrac{MN}{MO}

Therefore, the correct option is B.

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Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

30.2 million / 0.122 = 247.54 million total population. (Round answer as needed)

8 0
3 years ago
"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
4 years ago
Which one of the following statements is true?
dangina [55]

Answer:

C= to find x, add the given angles

Step-by-step explanation:

5 0
3 years ago
Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p
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Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

\dfrac{96}{16}=6

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of 6+6=12 pieces of each 16 inches long can be cut from the two boards.

8 0
3 years ago
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