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andriy [413]
3 years ago
12

Cot(x)=-3. find sin(x)

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

sin(x)=1/\sqrt10

Step-by-step explanation:

The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity

sin²x  = 1 /( 1+cot²x )

now cot(x)= -3

⇒ cot²x= (-3)²

⇒ cot²x= 9

sin²x= 1/( 1+9)

⇒ sin²x = 1/10

taking under root on both the sides we get

√sin²x=\sqrt1/\sqrt10

⇒ sin(x)=± 1/\sqrt10

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Bh+hr=25 solve for r please work it out step by step
denis23 [38]

So firstly, factor out h on the left side: h(b+r)=25

Next, divide both sides by h: b+r=\frac{25}{h}

Lastly, subtract both sides by b and your answer will be r=\frac{25}{h}-b

7 0
3 years ago
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2. The Andersons went to dinner at
irina1246 [14]
They left $6.72 for a tip.

42 x 0.16 = 6.72
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The scores on a math test are normally distributed with a mean of 74 and a standard deviation of 8. The test scores range from 0
hram777 [196]

Answer:

The Estimate the number of students who took the scores between  82 and 98 = 16

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given data The scores on a math test are normally distributed with a mean μ = 74  

standard deviation of Population

                                               S.D (σ) = 8

Let 'x' be the random variable of Normal distribution

<u><em>case(i)</em></u>:-  when  x = 82

            Z = \frac{x-mean}{S.D}

           Z = \frac{82-74}{8} = 1

     

<u><em>case(ii)</em></u>:-  when  x = 98

            Z = \frac{x-mean}{S.D}

           Z = \frac{98-74}{8} = 3

The probability that test scores between 82 and 98.

P(82≤x≤98) = P(1≤z≤3)

                 = P(z≤3) - P(z≤1)

                 = 0.5+A(3)-(0.5+A(1))

                =  A(3) -A(1)

               = 0.4986 - 0.3413

               = 0.1573

<u><em>Final answer</em></u>:-

The Estimate the number of students who took the scores between  82 and 98

             = 100 X 0.1573 = 15.73 ≅16

           

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3 years ago
Which table describes a linear function that has a slope of 2?​
dexar [7]

Answer:

Table (4)

Step-by-step explanation:

Slope of a line passing through  two points (x_1,y_1) and (x_2,y_2) is,

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

From the table (1),

Two points lying on the graph are (2, 1) and (6, -1).

Slope of the line = \frac{1+1}{2-6} = -\frac{1}{2}

From the table (2),

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From the table (3),

Two points are (-4, 4) and (-2, 5).

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From table (4),

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Slope of the line = \frac{4-0}{0+2}=2

Therefore, Table (4) represents a linear function with slope 2.

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This is ezz homework pay attention in class

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