A circular garden has a radius of 3 meters. What is the area of the garden? Write your answer using π. Show your work.

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.

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

Answer:

y^6

Step-by-step explanation:

Answer:

the answer would be y^6

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:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Step-by-step explanation:

We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:

[tex]\displaystyle y=\frac{7}{2}x-5[/tex]

Since our new line is parallel to our equation, this means that the two lines have the same slope.

Therefore, the slope of our new line is also 7/2, the slope of the original.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/2 for m.

Let's let our point (2, 4) be (x₁, y₁). Hence:

[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]

Solve for y. Distribute:

[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]

Add 4 to both sides.Therefore, our equation is:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Answer:

Two places to the left = 7.516

Step-by-step explanation:

Answer:

Step-by-step explanation:

751.6 ÷ 100 = 7.516

and that means that

the decimal point moves

two times to the right.

Hope this helps! <3

Answer:

15

Step-by-step explanation:

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:

Mya’s equation

Step-by-step explanation:

Given that:

Detergent left in bottle after a certain number of washes x

Dexter’s equation,

y= -1.6x+50

Mya’s equation,

y = 50(.75)x

y = Detergent left in bottle.

Given that amount of Detergent left is about 1/2 ounces = y

For Dexter’s equation,

y= -1.6x+50

0.5 = 1.6x + 50

0.5 - 50 = 1.6x

-45.5 = 1.6x

x = 28.4375

For Mya’s equation :

y = 50(0.75)x

0.5 = 37.5x

0.5 / 37.5 = x

0.0133333 = x

Hence, Mya’s equation

Answer:

2 facturas de grasa.

12 facturas con dulce de leche

4 medialunas

Step-by-step explanation:

Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.

18 * (1/9) = 2 facturas de grasa.

La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.

18 * (2/3) = 12 facturas con dulce de leche

Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas

18 - 2 - 12 = 4 medialunas

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

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

Answer:

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

Answer:

x = 2

Step-by-step explanation:

Answer:

11.040

Step-by-step explanation:

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

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:

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

#SPJ2

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:

y=-4/3x-5    y=7/6x-5

Step-by-step explanation:

That should be your answer I have already learn this so that should be right

Answer:

3x - 6b

Step-by-step explanation:

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

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:

it can be simplify by c²

Answer:

2c

Step-by-step explanation:

Answer:

C. 28.26

May I have brainliest please? :)

Answer:

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

Step-by-step explanation:

Explication étape par étape:

Soit la gratitude totale x

Montant reçu par le premier employé = 150 euros

Si le second reçoit 7/20 de la gratification, alors;

Deuxième reçoit = ​​7/20 × x

Si le troisième reçoit 5/28 de la gratification, alors

Le troisième reçoit 5/28 × x -

Si le quatrième reçoit le 9/35 de la gratification, alors;

Le quatrième reçoit 9/35 × x

Il faut ensuite calculer le pourboire total x.

Résumer tout le montant reçu

7x / 20 + 5x / 28 + 9x / 35 +150 = x

0,35x + 0,179x + 0,257x + 150 = x

0,786x + 150

x-0,786x = 150

0,214x = 150

x = 150 / 0,214

x = 700,9 euros

2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression

X × 700,9 = 150

x = 150 / 700,9

x ≈ 15/70

x≈ 3/14

D'où le premier a recueilli environ 3/14 de la gratification totale.

2) seconde collectée 0,35x

= 0,35 × 700

≈245 euros

Le troisième a recueilli 5/28 de x

Le troisième a collecté 5/28 × 700

= 3500/28

= 125 euros

Le quatrième a recueilli 9/35 de x

= 9/35 × 700

= 6300/35

≈ 180 euros

Answer:

Step-by-step explanation:

Given that 1/4 pounds = 1/8 gallons

We are to find the unit rate per gallon, hence we will say;

x pounds = 1 gallon

Equate both expression

1/4 pounds = 1/8 gallons

x pounds = 1 gallons

Cross multiply

1/8 * x = 1/4

divide both sides by 1/8

(1/8x)/(1/8) = (1/4)/(1/8)

x = 1/4 * 8/1

x = 1/4 * 8

x = 2 pounds

Hence the unit rate per gallon is 2 pounds per gallon

Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the

Answer:

thats hard dude why are you doing it

Step-by-step explanation:

Answer:

y=8

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.