the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing field is 532 yards, what are its dimensions?

Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

If the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled a distance is 9.5 cm.

What is the circumference of the circle?

The Circumference of a circle is basically the perimeter of the circle. It is given as (2×π×r) or (π×d).

The hand on a circular clock moves along the circumference of the circle, and the length of the circumference of a circle is given by the formula:

C = 2 * π * r

where C is the circumference, π is Pi (approximately equal to 3.14), and r is the radius of the circle.

In this case, the radius of the circle is half the length of the hand, or 12cm / 2 = 6cm.

So the circumference of the circle is:

C = 2 * π * 6 = 12 * π

Since the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled an angle of 5 * (360/12) = 150 degrees.

To find the distance traveled along the circumference, we need to multiply the circumference by the fraction of the circle traveled, which is equal to the angle in radians divided by 2π.

To convert from degrees to radians, we can use the formula:

radians = degrees * (π / 180)

So, the distance traveled by the hand is:

distance = C * (150 * (π / 180)) / (2 * π) = 12 * (150 * (π / 180)) / 2 = 9.5 cm (rounded to the nearest cm)

hence, if the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled a distance is 9.5 cm.

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Answers:

x = 7

angle NML = 24 degrees

=========================================================

Work Shown:

OML is the largest angle

OMN and NML are the two pieces that make up that largest angle.

They add like so

OMN + NML = OML

(9x) + (3x+3) = 10x+17

12x+3 = 10x+17

12x-10x = 17-3

2x = 14

x = 14/2

x = 7

You have the correct x value.

Now use this to find each angle

angle OMN = 9x = 9*7 = 63

angle NML = 3x+3 = 3*7+3 = 24

angle OML = 10x+17 = 10*7+17 = 87

As a check,

OMN+NML = 63+24 = 87

which matches with the measure of angle OML.

This confirms OMN+NML = OML to be true and it confirms our answers.

I just need points lol

sorry

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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The system of inequalities is:

5x + 10y ≥ 900 (total ticket sales must be at least $900)

x + y ≤ 130 (total number of tickets sold must be at most 130)

One possible solution is x = 70 (student tickets) and y = 60 (adult tickets).

To write a system of inequalities based on the given information, we can consider the revenue from ticket sales and the seating capacity of the auditorium:

Let x represent the number of student tickets sold, and y represent the number of adult tickets sold.

Revenue inequality:

The drama club must make no less than $900 from ticket sales, so the revenue equation is: 5x + 10y ≥ 900. This equation ensures that the total revenue from ticket sales is at least $900.

Seating capacity inequality:

The auditorium can hold at most 130 people, so the total number of tickets sold cannot exceed this limit: x + y ≤ 130.

To solve this system of inequalities graphically, we plot the inequalities on a graph. The shaded region where the inequalities overlap represents the feasible region or the possible solutions.

One possible solution within this feasible region could be x = 70 (student tickets) and y = 60 (adult tickets). This combination satisfies both inequalities and fulfills the revenue requirement of at least $900.

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Answer:60,000

Step-by-step explanation:

El costo de un terreno es IP al cuadrado de la distancia que lo separa de Lima y DP a su área. Esto se puede expresar como:

Costo = IP^2 * DP / Distancia^2

Sabemos que el costo de un terreno es de 540 mil, por lo que podemos escribir:

540,000 = IP^2 * DP / Distancia^2

Ahora consideremos el segundo terreno, que tiene el doble de área y está a una distancia 3 veces mayor que la del primer terreno. Si llamamos "Distancia anterior" a la distancia del primer terreno, entonces la distancia del segundo terreno es 3 veces la distancia anterior, es decir:

Distancia = 3 * Distancia anterior

Además, sabemos que el segundo terreno tiene el doble de área que el primero, por lo que podemos escribir:

Área = 2 * Área anterior

Reemplazando estas expresiones en la ecuación anterior, obtenemos:

Costo = IP^2 * DP / (3 * Distancia anterior)^2

Simplificando:

Costo = IP^2 * DP / 9 * Distancia anterior^2

Pero sabemos que el costo del segundo terreno es lo que estamos buscando. Llamemos "Precio del segundo terreno" a este valor. Entonces:

Precio del segundo terreno = IP^2 * DP / 9 * Distancia anterior^2

Como el costo del primer terreno es 540 mil, podemos reemplazar los valores conocidos:

540,000 = IP^2 * DP / Distancia anterior^2

Despejando IP^2, tenemos:

IP^2 = 540,000 * Distancia anterior^2 / DP

Reemplazando esta expresión en la ecuación anterior, obtenemos:

Precio del segundo terreno = (540,000 * Distancia anterior^2 / DP) * DP / 9 * Distancia anterior^2

Simplificando:

Precio del segundo terreno = 60,000 / DP * 2

Por lo tanto, el precio del segundo terreno es de 60,000 dividido por dos veces el valor de DP.

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Answer:

10^-99

10^-17

10^-5

10⁵

10¹⁴

10³⁰

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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Step-by-step explanation: 4/5, 2/5

I hope this helps.

Answer:

The answer is 1/4. Hope it helps.

Step-by-step explanation:

Step-by-step explanation:

x - 7y = -45

-x +8y = 51

the X's cancel out

-7y + 8y = -45 + 51

y = 6

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

Answer:

$23,465

$4,693

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number.

6.5% of $361,000 = 0.065 × $361,000 = $23,465

20% of $23,465 = 0.2 × $23,425 = $4,693

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

$6

Step-by-step explanation:

5 x 12 = 60 square feet (for the tent)

Since each square feet cost $0.10, we can do 60 / 0.10. We get 600 cents.

600 cents = $6.00

I hope this helped and please mark me as brainliest!

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

- 9

Step-by-step explanation:

\(F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9\)

Answer:

Step-by-step explanation:

A rational number is a number that can be written in the form \(\frac{a}{b}\) where b ≠ 0.

In order to properly arrange the numbers on the number line, we need to arrange it in an ascending order.

6/3 = 2

-3/4 = -0.75

1.5 = 1.5

0.25 = 0.25

-5.4 = -1.25

The numbers written in an ascending order will be,

-1.25 = -5/4

-0.75 = -3/4

0.25

1.5

2 = 6/3

Therefore writing this on the number line, we will have it in this order:

-1.25, -0.75, 0.25, 1.5, 2

Answer: 76

Step-by-step explanation: If c=8, then 8(8)+12 would equal 76. Hope this helps!

Answer:

the answer is 76

Step-by-step explanation:

plug in 8 which equals c into c in the equation.

Answer:

B) 400

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Let's denote the height of the turbine from the ground to its hub as "h". We can use trigonometry to solve for "h".

First, we need to find the distance from the observer's eye level to the base of the turbine. We can use the angle of elevation and the observer's distance from the turbine to find this distance.

Using the tangent function:

tan(56.5°) = h / (53 ft + 5.5 ft)

Simplifying and solving for "h":

h = tan(56.5°) * (53 ft + 5.5 ft)

h = 67.8 ft

Therefore, the height of the turbine from the ground to its hub is approximately 67.8 ft to the nearest tenth.

The width of the screen measures; 36.37 in.

Given data;

Diagonal = 42 inches

Height=  21 inches

Apply the Pythagoras theorem

\(D^2= H^2+W^2\)

Substitute;

\(42^2= 21^2+W^2\\1764 =441 +W^2\\\\1764- 441 =W^21323 = W^2\)

W=√1323

W= 36.37 inches

Hence the width is 36.37 inches

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The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.

It means that the value of the digit is multiplied by 10.

Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.

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Answer: 7

Step-by-step explanation:

We know that the base sides of the triangular prism are 6cm, 5cm, and

\(x\) cm. We also know that the length of the prism is 20.

To calculate the lateral surface area of the triangular prism, we need to use the following equation:

\((a + b + c)\) x \(length\)

So we can input our values, to get this:

\((6 + 5 + x) 20 = 360\)

Then we solve the equation by the following steps:

\(= > 6+5+x = \frac{360}{20} = 18\\= > 11 + x = 18\\= > x = 7\)

Hope this helps, if you have any further inquiries about this, please reply back. :)

Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

The probability percentage that both players will be sophomores is 15.38%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are Given that a football team has 4 freshman, 7 sophomores, 10 juniors, and 15 seniors, the following calculation must be done:

4 + 7 + 10 + 15 = 36

14/36= X

7/18 = X

0.38 = X

15/36= X

0.4 = X

0.4 x 0.38 = X

0.1538 = X

Thus, the probability that both players will be sophomores is 15.38%.

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