The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field?

Answer:

A/C ≅ 2

Step-by-step explanation:

diameter of circle d = 8 in

Circumference of the circle C= 25 in

Let us assume we have to find the area of the circular lid  A = [tex]\frac{\pi}{4}d^2[/tex]

⇒ A= [tex]\frac{\pi}{4}\times8^2= 50.24 in^2[/tex]

Therefore ratio of area to circumference A/C = 50.24/25 = 2.0096≅2

9514 1404 393

Explanation:

For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.

We will change the left side to the form of the right side.

  [tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]

__

The equivalents (identities) used are ...

  1+tan² = sec²

  1+cot² = csc²

  1/csc = sin

  sec = 1/cos

Answer: i believe it’s 12ft

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.

Answer:

El reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que el reloj de Nuestra Basílica de Chiquinquirá señala cada hora con igual número de campanadas, por lo que a las 8 a.m. tocará 8 campanadas y puedes usar una regla de tres para encontrar cuantos segundos empleará en hacerlo dado que conoces que las 6 campanadas se demoran 15 segundos:

6 campanadas → 15 segundos

8 campanadas →         x

x=(8*15)/6

x= 20

De acuerdo a esto, la respuesta es que el reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.

Answer:

Inequality to determine number of glass sets: 10x + 230 ≥ 498

Solved inequality: x ≥ 26.8 (She needs to buy at least 27 sets)

Step-by-step explanation:

In order to write an inequality to represent this situation, you must first identify the important information:

- The restaurant needs 498 glasses total at the least

- They already have 230 glasses

- Each set of glasses has 10 glasses

Now, you can write an inequality to represent this situation:

498 (needed glasses) ≤ 230 (glasses already owned) + 10x (number of glasses in one set (x))

You can rewrite it as 10x + 230 ≥ 498 so that x is on the left and it is ordered by variable exponential value. Now you have the inequality to represent the situation, so to find the number of sets of glasses Brooklyn could buy, you need to isolate x:

10x + 230 ≥ 498 (given)

10x ≥ 268 (subtract 230 from both sides)

x ≥ 26.8 (divide both sides by 10)

So, Brooklyn needs to buy at least 27 sets since she can't buy 4/5 of a set.

Answer:

10x + 230 ≥ 498

Step-by-step explanation:

Answer:

x-8

......................

Step-by-step explanation:

-8x-12+9x+4

-8x+9x-12+4

x-8

x-8=0

x=8

Answer:

I think it would be a 20 percent

Step-by-step explanation:

because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

Answer:

becuz their colour is black and white. b and w is so cute

Answer:

76+76=152

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: The answer to your question is to not ask clearly you just answered your own question like yoooooooooooooooooooo.

Step-by-step explanation:

Answer:

[tex]6x-6y-16=0[/tex]

Step-by-step explanation:

Consider the following system of equations:

[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]

The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

One equation is [tex]3x-3y=8[/tex]

[tex]3x-3y-8=0[/tex]

Take another equation as [tex]6x-6y-16=0[/tex]

So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]

[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]

[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]

So,

[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

Therefore, another equation can be [tex]6x-6y-16=0[/tex]

Answer:

theres no numbers?

Step-by-step explanation:

Step-by-step explanation:

I think it is a good day and the answer is 3

Answer:

They are both 47 degrees

Answer:

[tex]\sqrt{655*655} =655[/tex]

Step-by-step explanation:

655*655 is pretty much equal to 655²

the square root of a number to the power of 2 is equal to the number without the power

so √655² would be equal to 655

Answer:

[tex]655[/tex]

Step-by-step explanation:

[tex] \sqrt{655 \times 655} \\ = 655[/tex]

Answer:

40°

Step-by-step explanation:

If your are reffering to a triangle the answer would be 40 since the three angles of a triangle must always add up to 180° so you would add b+d (110+30) resulting in 140 which you would then subtract from 180 getting you 40°

Answer: 42 degrees

Step-by-step explanation: sum of angles in triangle is 180 degrees.

So third angle is 180-44-94= 42

Answer: 42°

Steps:

44° + 94° + x = 180°

138° + x = 180°

x = 180° - 138°

x = 42°

Check:

44° + 94° + 42° = 180°

180° = 180° ✅

Would appreciate brainliest if the answer was helpful, correct and had clear steps! :)

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

#SPJ2

Answer:

[tex]x=49.16^{\circ}[/tex]

Step-by-step explanation:

We need to find the value of x in the given figure.

It is a right angled triangle, in which base is 19, height is 22.

We can use trigonometry to find x.

We know that,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular and B is base

So,

[tex]\tan x=\dfrac{22}{19}\\\\x=\tan^{-1}(1.157)\\\\x=49.16^{\circ}[/tex]

So, the value of x is equal to [tex]49.16^{\circ}[/tex].

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

 x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

        200  + 2y = 356          {Subtract 200 from both sides}

                   2y = 356 - 200

                  2y = 156       {Divide both sides by 2}

                    y = 156/2

                  y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

       x = 100 - 78

       x = 22

22 hens and 78 sheep

Answer:

I think the calculation answer will be 9,999,811,112

Answer:

Center (6, -3)

Radius 5