the sum of two numbers is 6 and the sum of their squares is 28. Find the exact values of these numbers

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) =

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Step-by-step explanation:

Answer:

-10 + -10 + -10 = -30

Step-by-step explanation:

please give brain award

Answer:

Step-by-step explanation:

Answer:

[0.45(many 0's)1] through [0.459] repeating 9

Step-by-step explanation:

All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.

The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 0.45 and 0.46.

In order to write the numbers between them, write the given decimals up to 3 places as follows,

The numbers are 0.450 and 0.460.

The four decimals between them are as follows,

0.451, 0.452, 0.453, and 0.454.

Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.

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Answer:

when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.

hope this helped

Answer:

square root of 369

Step-by-step explanation:

Answer:

y=-1/6x-2

Step-by-step explanation:

Lets find the slope of the given line

6x-7=y,m=6

The slope of the perpendicular line would be=-1/6

Using the point-slope form y-y1=m(x-x1)

y--1=-1/6(x--6)

y+1=-1/6(x+6)

6y+6=-x-6

6y=-x-6-6

6y=-x-12

y=-1/6x-2

Answer:

180

Step-by-step explanation:

0 x -6 + -6 x -6 x 5

   0      +       180 = 180

Answer:  0.615

Step-by-step explanation:

actually do the division.

you will need a calculator most of the time.

8/13 = 0.615

Answer:

313817.3617

Step-by-step explanation:

30474*484 = 14749416

14749416/47 = 313817.3617

Answer:

3687354

Step-by-step explanation:

30474x484 = 14749416

14749416 divided by 4 is 3687354

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

Answer:

32 revolutions per minute(rpm)

Step-by-step explanation:

v inversely proportional to t

so if v increases t will decrease and vice versa

inverse equation is xy=k

xy=k

48×20= 960 (revolutions)

then you'll take k(960) and divide it by number of teeth

so..

960/30 = 32 revolutions per minute

Answer:

A: 10 pillows

Step-by-step explanation:

Conventional way:

Turn 6 into 6/1.

6/1 ÷ 3/5

Answer: 10

-kiniwih426

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lablots

Answer:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:

[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].

Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].

When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:

[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

what do you want us to do with the equation? evaluate it? solve for X? solve for y? if you don't tell us then we cannot solve it

Step-by-step explanation:

you never really specified what you want us to do with the equation

Answer:

$45

Step-by-step explanation:

300/100 = $3 = 1%

$3 x 5 = $15 = 5%

$15 x 3 years = $45

Answer:

162

Step-by-step explanation:

6x+7x=364 suppose

13x=364

X=364/13=27

then,

red marbles=6x

=6×27=162

Answer:

162

Step-by-step explanation:

Answer:

f(-10) = 1,100

Step-by-step explanation:

f(-10) = (-10)^2 - (-10)^3

= 100 - (-1000)

= 1,100

Answer:

I'm a Cancer lol.

Step-by-step explanation:

Answer:

My zodiac sign is Scorpius (Scorpion) since my birthday is on the 12th of November

Step-by-step explanation:

Answer:

y=45  x = 63

Step-by-step explanation:

ill type it if u need it

Step-by-step explanation:

the answer is

[tex] {3}^ {9} [/tex]

the explanation is that {3^3}^4 = 3^12

and 3^12 x 3^2 / 3^ 5 = 3^9

Answer:wertyuiop[]\]

';lkjhgfd

Step-by-step explanation:

Answer:

I think

the value of y will be -24

..... when the value of x is 26

Answer:

-32.5 hope this helps:)

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

The answer is 1.4.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

yeah-ya..... right?

The equation of line will be;

⇒ y = - 3/5x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.

Now,

Since, James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.

Hence, The slope of the line = - 3/5

And, The y - intercept = 3

Thus, The equation of line will be;

⇒ y = - 3/5x + 3

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