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Vsevolod [243]
3 years ago
15

I really need help guys​

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

Step-by-step explanation:

First you have to organize your information:

3 Teach.= 70 children

There are 14700 children 210 times 70.

You multiply 3*210 =70*210 because if you multiple one side you have to do the other to.

This equals 630= 14700. They need 630 teachers.

They have 612 so you only have to subtract 630 -612 =18

They need 18 teachers more.

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Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2​
Oxana [17]

Answer:

The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Step-by-step explanation:

    sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})

            Multiply and Divide by 2cos(\frac{\pi }{14})

= \frac{2sin(\frac{\pi }{14})cos(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})}{2cos(\frac{\pi }{14})}

⇒ Let \frac{\pi }{14} = Ф  and 7Ф = \frac{\pi }{2}

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ               ∵cos7Ф = 0      

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ                              

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ      ∵sin7Ф = 1  

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

#learnwithBrainly

4 0
3 years ago
How do you find the value of x while working with adjacent and vertical angles? The angle is adjacent btw if that helps... I am
katrin [286]

Answer:

The angles are adjacent because they have a common side and vertex. Basically, they are both right next to each other.

x = 28

Step-by-step explanation:

When (x + 6)° and 56° are added together, they need to equal 90° since they are both parts of a right angle.

(x + 6) + 56 = 90

x + 62 = 90

x = 28

6 0
3 years ago
How many sides has a regular polygon if each interior angle is five times the exterior angle​
Nostrana [21]

Answer:

26 sides

Step by step explanations

Is these om

6 0
3 years ago
A pediatrician wishes to study how the average weight Y (in kilograms) of children changes during the first year of life. He plo
leonid [27]

Answer:

Answer is option a ) 0.53

Step-by-step explanation:

slope = r*\frac{s_y}{s_x}

Given that a pediatrician wishes to study how the average weight Y (in kilograms) of children changes during the first year of life. He plots these averages versus the age X (in months) and decides to fit a least-squares regression line to the data with X as the explanatory variable and Y as the response variable.

He finds  the following quantities:

r = correlation between X and Y= 0.84

x = mean of the values of X = 5.69

y = mean of the values of Y = 6.26

S_x = standard deviation of the values of X = 3.23

s_y = standard deviation of the values of Y = 2.04

Using the formula for slope given above substitute to get

slope = 0.84*\frac{2.04}{3.23} \\=0.5305

round off to 0.53

Answer is option a ) 0.53

3 0
3 years ago
Find all numbers whose absolute value is -7
Natasha2012 [34]

Answer:

the absoulute value of -7 is 7

8 0
4 years ago
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