first to answer gets brainleist

Answer:

7.07 miles/hour W 22° S.

Step-by-step explanation:

Given that the resultant velocity of the runner, [tex]v_r = 8[/tex] miles/hour due west.

Wind speed, [tex]v_w= 3[/tex] miles/hour N 28° W.

Assuming that the absolute velocity of the runner, [tex]v_a= x[/tex] miles/ hour W \alpha S as shown in the figure.

By using vector addition, [tex]\vec{v_r} = \vec {v_w} + \vec {v_a}[/tex] .

Now, from the figure,

[tex]|\vec {v_r}|=|\vec {v_w} |\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow 8 = 3\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow |\vec {v_a}| \cos \alpha =8-3\sin{28°} \cdots(i)[/tex]

And [tex]AC= |\vec {v_w} |\cos{28°} = |\vec {v_a}| \sin \alpha \\\\[/tex]

[tex]\Rightarrow |\vec {v_a}| \sin \alpha= 3\cos{28°} \cdots(ii)[/tex]

Dividing equation (ii) by equation (i), we have

[tex]\frac {|\vec {v_a}| \sin \alpha}{|\vec {v_a}| \cos \alpha}=\frac {3\cos{28°}}{8-3\sin{28°}} \\\\\Rightarrow \tan \alpha = 0.402 \\\\\Rightarrow \alpha = \tan ^{-1} (0.402)=22^{\circ} \\\\[/tex]

Putting the value of \alpha in equation (ii), we have

[tex]|\vec {v_a}| \sin {22^{\circ}}= 3\cos{28^{\circ}} \\\\\Rightarrow |\vec {v_a}| =(3\cos{28^{\circ}})/\sin {22^{\circ}} \\\\[/tex]

[tex]\Rightarrow |\vec {v_a}| = 7.07[/tex] miles/hour

Hence, the runner speed, without the effect of the wind, is 7.07 miles/hour W 22° S.

Answer:

n/6 = 1/2

2n = 6

n = 3

Hope my answer is correct

Answer:

n = 3

Step-by-step explanation:

There's two ways, first cross multiplication:

n/6 = 1/2

Cross multiplication so 2 times n and 6 times 1

2n = 6

n = 3

Second way:

n/6 = 1/2

(n/6 = 1/2) times 6

n = 6/2

n = 3

Answer:

Please check the explanation!

Step-by-step explanation:

As the discrimination expression is

[tex]b^2-4ac[/tex]

if

[tex]b^2-4ac\:<0[/tex]

then the equation has no real solution.

Given the equation

[tex]mx^2+3x+1-m=0[/tex]

by comparing the quadratic equation

[tex]\:ax^2+bx+c=0[/tex]

[tex]mx^2+3x+1-m=0[/tex]

we can observe that

[tex]a=m[/tex]

[tex]b=3[/tex]

[tex]c=(1-m)[/tex]

substituting the values in discrimination to find the values of m

so

[tex]3^2-4m\left(1-m\right)=0[/tex]

[tex]9-4m+4m^2=0[/tex]

[tex]4m^2-4m+9=0[/tex]

[tex]\frac{-4m+4m^2}{4}=\frac{-9}{4}[/tex]

[tex]-m+m^2=-\frac{9}{4}[/tex]

[tex]\left(m-\frac{1}{2}\right)^2=-2[/tex]

as

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]m-\frac{1}{2}=\sqrt{-2}[/tex]

[tex]m-\frac{1}{2}=\sqrt{-1}\sqrt{2}[/tex]    

[tex]m-\frac{1}{2}=\sqrt{2}i[/tex]              ∵  [tex]\sqrt{-1}=i[/tex]

[tex]m=\sqrt{2}i+\frac{1}{2}[/tex]

and also solving

[tex]m-\frac{1}{2}=-\sqrt{-2}[/tex]

[tex]m-\frac{1}{2}=-\sqrt{2}i[/tex]

[tex]m=-\sqrt{2}i+\frac{1}{2}[/tex]

As we know that

if

[tex]b^2-4ac\:<0[/tex]

then the equation has no real solution.

Therefore, for the values of [tex]m=\sqrt{2}i+\frac{1}{2},\:m=-\sqrt{2}i+\frac{1}{2}[/tex], for which the equation  [tex]mx^2+3x+1-m=0[/tex] will have no solution.

Answer:

k=1

Step-by-step explanation:

Since the coefficient of [tex]x^{3}[/tex] is 1, that is what you put for k

Answer: 12 hours

Step-by-step explanation:

We can use direct proportion to solve this, we need to calculate the constant of proportionality first. This will be:

y = kx

where y = 174

x = 3

k = 174/3

k = 58 miles per hour

If the ski resort is 696 miles from his home, the number of hours used will be:

= 696/58

= 12 hours

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

Answer:

8/15

Step-by-step explanation:

Of The fiction books is a key word telling us to multiply 2/3 x 4/5  because OF when using fractions means that you multiply. So to multiply you just multiply the numerators and denominators to get 2 x 4 = 8 and 3 x 5 = 15, which is 8/15.

Hope this helps!

Have a great day! :)

Answer:

For every x feet of rope purchased, the total cost(y) increases by $6.85.

Step-by-step explanation:

Answer:

add 10 which gives yoy 5x=10 divode by 5 that givdz u 2

Answer:

x = 2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

Answer:

[tex]=\frac{2a^4}{3bd}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]

Further simplify the expression by converting the negative exponents into positive.

[tex]b_1=\frac{1}{b}[/tex]

[tex]a^{-3}=\frac{1}{a^3}[/tex]

By substituting these terms in the given expression,

[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]

         [tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]

         [tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]

        [tex]=\frac{2a^4}{3bd}[/tex]

Answer:

You are correct, this is not a good explanation

Step-by-step explanation:

6, 10, 20. Domain is the x-coordinates of all values.

Answer:

15

Step-by-step explanation:

Answer:

y^6

Step-by-step explanation:

Answer:

the answer would be y^6

Answer:

11.040

Step-by-step explanation:

To get this answer you would add 7.740 please 3.500 and get 11.040

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

2/7 * 1/4

= 2/28

You can simplify by dividing the numerator and denominator

which will give you 1/14

Hope this help :)

Answer:

X = -1

Step-by-step explanation:

3(x - 4) + 6 = 5(x - 1) + 1     -distribute

3x - 12 + 6 = 5x - 5 + 1     -combine like terms

3x - 6 = 5x - 4        -subtract 3x

-6 = 2x - 4        -add 4

-2 = 2x      -divide by 2

-1 = x

Hope this helps. Pls give brainliest.

Answer:

x= -1

Step-by-step explanation:

open brackets and calculate

3x - 12 + 6 = 5x -5 + 1

Calculate

3x - 6 = 5x - 4

transpose

3x - 5x = - 4 + 6

Calculate

- 2x = 2

x= 2/-2

x= -1

yes so y did u need r help?????

It is either 6•9 to find the spaces or 54 spaces.

Answer:

50°

Step-by-step explanation:

50 + (3x + 14) + (7x - 4) = 180

50 + 3x + 14 + 7x - 4 = 180

60 + 10x = 180

10x = 180 - 60

10x = 120

x = 120/10

x = 12

So, Angle A is:

(3 * 12) + 14

36 + 14 = 50°

Answer:

a.) [tex]x=12[/tex]

b.) [tex]A=50[/tex]

Step-by-step explanation:

a.) Remember: the sum of all angles in a triangle will always be 180°.

Make an equation in which all given angles add up to 180:

∠1+∠2+∠3=180

[tex](3x+14)+(7x-4)+50=180[/tex]

Solve the equation for the value of x. Remove the parentheses:

[tex]3x+14+7x-4+50=180[/tex]

Combine like terms:

[tex](3x+7x)+(14-4+50)=180\\\\10x+60=180[/tex]

Subtract 60 from both sides:

[tex]10x+60-60=180-60\\\\10x=120[/tex]

Divide both sides by 10:

[tex]\frac{10x}{10}=\frac{120}{10} \\\\x=12[/tex]

The value of x is 12.

b.) Insert the value of x into the given value of ∠A:

[tex]A=3x+14\\\\A=3(12)+14[/tex]

Simplify multiplication:

[tex]A=36+14[/tex]

Add:

[tex]A=50[/tex]

∠A is 50°.

:Done

Check Your Work:

To make sure the given values are true, solve for ∠B:

[tex]B=7(12)-4\\\\B=84-4\\\\B=80[/tex]

Now add all angle values to determine if they add up to 180°:

[tex]50+50+80=180\\\\100+80=180\\\\180=180[/tex]

Since 180 is equal to 180, the values are true.

Answer:

X=9

Step-by-step explanation:

9+6=15

15-7=8

Absolute value equals a positive

Answer:

C. 28.26

May I have brainliest please? :)

Answer:

it can be simplify by c²

Answer:

2c

Step-by-step explanation:

Answer:

5/8

Explanation:

6 = 5x  - 2

8 = 5x

5/8 = x

The unknown number two less than five times a number is equal to 6 will be 5 / 8.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that two less than five times a number is equal to 6 is the number. The unknown number will be calculated as below:-

Let the number be x now form an expression.

6 = 5x  - 2

8 = 5x

5/8 = x

Therefore, the unknown number two less than five times a number is equal to 6 will be 5 / 8.

To know more about an expression follow

https://brainly.com/question/723406

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Answer:

thats hard dude why are you doing it

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation: