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Part 1
A circular flower bed is 16m in diameter and has a circular sidewalk around it that is 3m wide. Find the area of the sidewalk in square meters. Use 3.14 for .PI

Check the picture below.

so if y = 2, then 2y = 4, thus

[tex]\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45[/tex]

Answer:

Below.

Step-by-step explanation:

√23 = 4.796

√24 = 4.899.

- both correct to the nearest thousandth,

Pasos

5

3

​

k+

10

7

​

=

15

11

​

k−

5

2

​

Resta  

15

11

​

k en los dos lados.

5

3

​

k+

10

7

​

−

15

11

​

k=−

5

2

​

Combina  

5

3

​

k y −

15

11

​

k para obtener −

15

2

​

k.

−

15

2

​

k+

10

7

​

=−

5

2

​

Resta  

10

7

​

 en los dos lados.

−

15

2

​

k=−

5

2

​

−

10

7

​

El mínimo común múltiplo de 5 y 10 es 10. Convertir −

5

2

​

 y  

10

7

​

 a fracciones con denominador 10.

−

15

2

​

k=−

10

4

​

−

10

7

​

Como −

10

4

​

 y  

10

7

​

 tienen el mismo denominador, reste sus numeradores para restarlos.

−

15

2

​

k=

10

−4−7

​

Resta 7 de −4 para obtener −11.

−

15

2

​

k=−

10

11

​

Multiplica los dos lados por −

2

15

​

, el recíproco de −

15

2

​

.

k=−

10

11

​

(−

2

15

​

)

Multiplica −

10

11

​

 por −

2

15

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

k=

10×2

−11(−15)

​

Realiza las multiplicaciones en la fracción  

10×2

−11(−15)

​

.

k=

20

165

​

Reduzca la fracción  

20

165

​

 a su mínima expresión extrayendo y anulando 5.

k=

4

33

​

Answer:

33/4

Step-by-step explanation:

3k/5 +7/10 = 11k/15 - 2/5

11k/15 - 3k/5 = 7/10 +2/5

11k/15 - 9k/15 = 7/10 + 4/10

2k/15 = 11/10

2k = 165/10

2k = 33/2

k = 33/4

Answer: 2x-y=15

Step-by-step explanation: can u be more detailin

Answer:

Resolver para x

⎩

⎪

⎨

⎪

⎧

​

x<

1−z

y

​

,

x∈R,

x>

1−z

y

​

,

​

z<1

y>0 and z=1

z>1

Step-by-step explanation:

The solution of the inequality x − y < z is x < z + y.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

x − y < z.

To solve for x:

Add y to both sides,

x < z + y

Therefore, the solution is x < z + y.

To learn more about the inequality;

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Answer:

ummmm..... let's see..

Step-by-step explanation:

using "Almighty formula"

{Y = –x +/– √b^2 – 4ac / 2a}

so we name all the values behind the coefficients which are; –1^2, 8 and 11

so let's assign a,b,c to these values:

a =–1, b =8, c = 11

all you just do now is to add these values to the formula

you should be having Y =1 +/– √8^2 – 4×–1×11

———————————

2×–1

Y =1 +108

———— or Y = 1–108

–2 –––––

–2

now add and divide to get Y.

(your answer will be two)

Answer:

∠a and ∠d; ∠b and ∠c

Step-by-step explanation:

The two triangles as similar triangles and the scale factor is 2 : 1

The sides measuring 6 and 3 are corresponding sides

The sides measeuring 8 and 4 are ocrreposnding sides

⇒ ∠a and ∠d are corresponding angles

The sides measuring 8 and 4 are corresponding sides

The sides measeuring 4 and 2 are ocrreposnding sides

⇒ ∠b  and ∠c are corresponding angles

Answer:

C. 27

Step-by-step explanation:

If those two triangles are similar then look at how much one side is being increased to the other triangle. ML is similar to PQ and it increases by 1.5 to get there.

So find the side similar to RQ which is LN

1.5(x+7)=2x+5

1.5x+10.5=2x+5

5.5=0.5x

x=11

Then plug in 11 for x to find RQ which will be 27

Answer:

[tex]-6x+71= -4x-1[/tex]

[tex]-6x+71-71=-4x-1-71[/tex]

[tex]-6x=-4x-72[/tex]

[tex]-6x+4x=-4x-72+4x[/tex]

[tex]-2x=-72[/tex]

[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]

[tex]x=36[/tex]

Hope it helps u!! ^-^

Hey ! Buddy .

As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .

( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )

Answer:

Step-by-step explanation:

In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .

( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )

Solution : -

( Soluciones : - )

[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]

Step 1 : Subtracting 71 on both sides :

( Paso 1 : Restando 71 en ambos lados: )

[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies - 6x = - 4x - 72[/tex]

Step 2 : Adding 4x on both sides :

( Paso 2 : Sumando 4x en ambos lados: )

[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]

Step 3 : Dividing by 2 on both sides :

( Paso 3 : Dividiendo por 2 en ambos lados: )

[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]

On calculating further , We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]

Verifying : -

( Comprobación :- )

We are verifying our answer by substituting value of x in given equation. So ,

( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )

Therefore, our solution is correct.

( Por lo tanto, nuestra solución es correcta. )

Answer:

9 teenagers

Step-by-step explanation:

12/20 = x/15

180/20 = x

9 = x

-----------------------

9 teenagers would take to finish the large pizza in 15 mins

Answer:

Zack received $32 for each hockey stick

Step-by-step explanation:

how I did it:

$71+$25=96

now you divide 96 by 3

      3 2

3    9  6

− 9  

 0 6

−   6

   0  

96 divided by 3 is equal to $32.

Hence, Zack received $32 for each hockey stick.

Answer:

See below

Step-by-step explanation:

A POUND IS   1/2000 of a ton    so  multiply the number of pounds by 1/2000 to find the number of tons   therefore   67 000 pounds is 33.5 tons

Answer:

A pound is (larger) than a ton, so (multiply) the number of pounds by (1000) to find the number of tons. Therefore, 67,000 pounds is  (33.5) tons.

Step-by-step explanation:

when you see ( ) it means it's the answer

Answer:

6391004

Step-by-step explanation:

hope this helps

Answer:

6391004

Step-by-step explanation:

The question is basically saying that a number is more than 47,56,908 by 16,34,096.

So that number will be 4756908+1634096  =

6391004

Therefore that number is 6391004

Answer:

1/8 is the probability to have exactly one head

Answer:

dont know bro

Step-by-step explanation:

The population in the study are the species that are all the birds in the forest.

The term population in reasearch refers to the entire participants in a study. Sometimes a fraction of these partcipants are selected in such a way that the entire population is depicted. This is called sampling.

In this case, the population in the study are the species that are all the birds in the forest.

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Answer:

O A. The first 25 birds in each section of the forest

Step-by-step explanation:

Test approved

Answer:

(- [tex]\frac{1}{5}[/tex] , 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x

5x - 2(0) + 1 = 0

5x - 0 + 1 = 0

5x + 1 = 0 ( subtract 1 from both sides )

5x = - 1 ( divide both sides by 5 )

x = - [tex]\frac{1}{5}[/tex]

the line crosses the x- axis at (- [tex]\frac{1}{5}[/tex], 0 ) or ( - 0.2, 0 )

Answer:

(-1/5, 0).

Step-by-step explanation:

Where the line crosses the axis the value of y = 0.

5x - 2y + 1 = 0

Let y = 0, then:

5x - 2(0) + 1 = 0

5x + 1 = 0

5x = -1

x = -1/5.

So the point is (-1/5, 0).

Answer: 2.04

Step-by-step explanation:

2+2=4

4/50 = 2.04

The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9

The probabilities are given as:

P(P) = 1/6

P(Q) = 2/3

The probability of the event P and Q is calculated using:

P(P and Q) = P(P) * P(Q)

This gives

P(P and Q) = 1/6 * 2/3

Evaluate the product

P(P and Q) = 1/9

Hence, the true statement about the probability is P(P and Q) = 1/9

Read more about probability at:

https://brainly.com/question/251701

A quadratic equation is in the form of ax²+bx+c. The graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The given equation is a quadratic equaion, therefore, to know if the equation will intersect with the x-axis we need to find the roots of the equation.

Since the value of the discriminant is negative for this equation, the roots of the equation will be imaginary. Plotting the graph, we will observe that the graph will not intersect the x-axis at any point.

Hence, the graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

Learn more about Quadratic Equations:

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Answer:

x = -6 or 6

Step-by-step explanation:

=> x² - 36

=> x² - 6²

=>(x + 6 ) (x - 6)

=> x = -6 or x = 6

[tex]x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)[/tex]

[tex]-\sqrt 5 -3\sqrt 5\\\\\\=(-1-3)\sqrt 5\\\\\\=-4\sqrt 5[/tex]

Answer:

b

Step-by-step explanation:

First, we must know the formula for solving the volume of a cylinder, which is [tex]V = \pi r^2 h[/tex]. Since the water is only being filled to 5 feet, we do not care about the 0.5 feet of the height.

Using the formula, we need to plug-in the numbers for the radius (20 divided by 2 is 10) and height. Doing this, the equation should now look like this: [tex]V = 3.14 * 10^2 * 5[/tex]. When solving, the volume of the water is 1570 feet cubed.

Answer:

1570.796 feet cubed

Step-by-step explanation:

First you find the surface area of the base of the cylinder which should look like this:

(10^2)(π)

Next you multiply that by the height (5 feet) because 3d shapes are bases stacked on each other which should look like this:

314.1592654(5)

After that arithmetic you will get 1570.796 or 1570.8 rounded as your answer!

Answer:

A

Step-by-step explanation:

(Not sure if this is completely right but this should be it)

[tex] \qquad\qquad\huge\underline{{\sf Answer}}{} [/tex]

Surface area of a cube is :

[tex]\qquad \tt \dashrightarrow \:6 {a}^{2} [/tex]

where, a represents side length of each edge.

[tex]\qquad \tt \dashrightarrow \:a = 6(6.4) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:a = 6(40.96)[/tex]

[tex]\qquad \tt \dashrightarrow \:a = 245.76 \: \: unit {}^{2} [/tex]

it can be taken as an approximate of :

[tex]\qquad \tt \dashrightarrow \:a \approx245.8 \: \: unit {}^{2} [/tex]

Answer:

The answer is D. 245.8 unit^2

Answer:

Um I can only see a graph

Step-by-step explanation: