All categories

2 years ago

Find the value of sin100.sin120.sin140.sin160

Mathematics

1 answer:

NARA [144]2 years ago

8 0

The value of $sin100.sin120.sin140.sin160$ is $0.1875$

Step-by-step explanation:

To find the value of $sin100.sin120.sin140.sin160$ , let us find the value of each angle.

The value of $sin100=0.9848$

The value of $sin120=\frac{\sqrt{3} }{2}$

The value of $sin140=0.6428$

The value of $sin160=0.3420$

Substituting the values of sin, we get,

$sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420$

Multiplying the values of sin, we get,

$sin100.sin120.sin140.sin160=0.1875$

Thus, the value of $sin100.sin120.sin140.sin160$ is $0.1875$

You might be interested in

Two hundred randomly selected people were asked to state their primary source for news about current events: (1) Television, (2)

NeTakaya

Answer:

Step-by-step explanation:

Hello!

You have a sample of 200 people, they were asked their primary source of news, categorized in (1) Television, (2) Radio, (3) Internet and (4) Other.

And your objective is to test if the proportions in this sample follow the known frequencies 10%, 30%, 50%, and 10%.

The propper statistic test to use to probe if the sample follows the known or historical distribution is Chi-Square goodness of fit test. In this test, what you state in the null hypothesis is the model or distribution you want to test. In this case, you've to write down the proportions for each category:

H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10

I hope you have a SUPER day!

7 0

2 years ago

A rectangle has an area of 36 inches squared. Write an equation to show how the length (l) varies inversely the width (w).

Anastaziya [24]

Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36

Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.

Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x

8 0

2 years ago

Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuen

Inga [223]

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

$\dfrac{sin \ F}{f} = \dfrac{sin \ A }{a}$

$\dfrac{sIn \ 79}{6} = \dfrac{sin \ 63}{a}$

a sin 79 = 6 sin 63

$a =\dfrac{6 \times sin \ 63}{sin \ 79}$

$a =\dfrac{6 \times 0.8910}{0.9816}$

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

$\dfrac{sin \ F}{f} = \dfrac{sin \ B}{b}$

$\dfrac{sin \ 79}{6} = \dfrac{sin \ 38}{b}$

b sin 79 = 6 sin 38

$b = \dfrac{6 \times sin \ 38}{sin \ 79}$

$b = \dfrac{6 \times0.6157 }{0.9816}$

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

8 0

2 years ago

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.w

Degger [83]

It is the 2nd option. 0.13

5 0

2 years ago

Read 2 more answers

Yun was trying to factor 7x^2-14x7x

disa [49]

the width of Yun's area model is 7x units or ( x-2 )units .

<u>Step-by-step explanation:</u>

Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:

We know that area of rectangle :

⇒ $Area = length(width)$ .........(1)