|| what does that symbol means in geometry

The expression that represents the area of the park is (1/2) * (x-4)/(x+5).

We shall first find the area of a triangle, using the formula:

Area = (1/2) * base * height

Given:

The base of the triangle is represented by the expression: (3x²-10x-8)/(4x²+19x-5)

The height is represented by:  (4x²+27x-7)/(3x²+23x+14)

Then, put the values into the formula to find the expression:

Area = (1/2) * [(3x²-10x-8)/(4x²+19x-5)] * [(4x²+27x-7)/(3x²+23x+14)]

We first simplify each of the fractions:

Area = (1/2) * [(3x²-10x-8)/(4x²+19x-5)] * [(4x²+27x-7)/(3x²+23x+14)]

= (1/2) * [(3x²-10x-8)/(4x²+19x-5)] * [(4x²+27x-7)/(3x²+23x+14)]

= (1/2) * [(3x²-10x-8)/(4x²+19x-5)] * [(4x²+27x-7)/(3x²+23x+14)]

Next,  factorize the quadratic expressions in the numerator and denominator:

Area = (1/2) * [(3x+2)(x-4)/(4x-1)(x+5)] * [(4x-1)(x+7)/(3x+2)(x+7)]

= (1/2) * [(3x+2)(x-4)(4x-1)(x+7)] / [(4x-1)(x+5)(3x+2)(x+7)]

Then,  cancel the common factors between the numerator and the denominator:

In the numerator, we have (3x+2), (4x-1), and (x+7), and in the denominator, we also have (4x-1), (3x+2), and (x+7).

Area = (1/2) * (x-4)/(x+5)

Therefore, the simplified expression that represents the area of the park is (1/2) * (x-4)/(x+5).

Learn more about simplified expression at brainly.com/question/723406

#SPJ1

Answer: t= 3/2

Step-by-step explanation: 5/ 7 1/2 = 3/2

Answer:

t = 7/10 = 0.700

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

            1

 5t -  (7 • —)  = 0

            2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          5t     5t • 2

    5t =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5t • 2 - (7)     10t - 7

————————————  =  ———————

     2              2  

Equation at the end of step

2

:

 10t - 7

 ———————  = 0

    2  

STEP

3

:

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 10t-7

 ————— • 2 = 0 • 2

   2  

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  10t-7  = 0

Solving a Single Variable Equation:

3.2      Solve  :    10t-7 = 0

Add  7  to both sides of the equation :

                     10t = 7

Divide both sides of the equation by 10:

                    t = 7/10 = 0.700

One solution was found :

t = 7/10 = 0.700

Answer:

square root 75

Step-by-step explanation:

khan

Using the normal distribution, the mean of T is of 30 seconds.

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

\(X \sim N(\mu, \sigma)\)

\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)

The mean of T is 10 seconds

A normal distribution has two parameters: Mean  and standard deviation .

The given parameters are the mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds.

For the total completion, there are 3 instances, hence ,n = 3(10)

Thus, the mean of T is of 30 seconds.

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

#SPJ1

Answer:

14

Step-by-step explanation:

7(8-6)

So, PEMDAS

7(2)= 14

14 is the answer.

Answer:

$1556.88

Step-by-step explanation:

Since Stephanie is earning simple interest and not compound interest, we can multiply her interest rate for each month by how many months we are calculating for.

0.035 x 5 = 0.175

Then multiply that by her current balance but change the 0 in front of the 0.175 to a 1 to reduce the number of steps we have to take. (It automatically adds what is earned in interest to her current balance.)

1.175 x 1325 = 1556.875

Answer:

The domain is {x│x∈ℝ }

The range is    {y│y≤-3 }

Step-by-step explanation:

The domain is the values that x can take

x is all real numbers

The domain is {x│x∈ℝ }

The range is the values that y can take

Y must be less than or equal to -3

The range is    {y│y≤-3 }

Answer:

x = 2

Step-by-step explanation:

1 - 3x = -5

Subtract 1  from each side

1-3x-1 = -5-1

-3x = -6

Divide each side by -3

-3x/-3 = -6/-3

x = 2

Answer:

is below

Step-by-step explanation:

(A) 1/10

(B) 3/10

(C) 2/10

Hope this helps

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

Read more about line segments at

https://brainly.com/question/24778489

#SPJ1

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Christy and Adam spent a total of $30.749 at Walmart.

To calculate the total amount spent, we need to determine the individual costs of each item and then sum them up.

1. The pack of chicken is priced at $12.97.

2. The gallon of milk costs $4.97.

3. They bought 4 bags of chips for a deal of 2 for $5.00. This means each bag costs $5.00 / 2 = $2.50. So, the total cost of 4 bags of chips is 4 * $2.50 = $10.00.

4. They purchased 10 Sam's Choice 2-liter drinks for $0.67 each. The total cost of these drinks is 10 * $0.67 = $6.70.

So far, the total cost without considering any discounts is:

$12.97 (chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $34.64.

However, there was a 30% discount on the pack of chicken. To calculate the discounted price, we need to find 30% of $12.97, which is (30/100) * $12.97 = $3.891.

The discounted price of the pack of chicken is $12.97 - $3.891 = $9.079.

Therefore, the final total amount spent is:

$9.079 (discounted chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $30.749.

For more such questions on Walmart

https://brainly.com/question/30405161

#SPJ8

Answer:

9

Step-by-step explanation:

Was this a joke or something

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

for similar questions on triangles.

https://brainly.com/question/1058720

#SPJ8

Answer:

The answer is 17ft hope this helps

Answer:

17feet

Step-by-step explanation:

Please mark as brainliest

Answer:

Your answer is 20

Step-by-step explanation:

as the formula 1/2*4*10=20.

hope it help you if yes then please make me the brainiest.

Thank you

parshv

Computing a measure of variability is important to understand the spread and dispersion of data, providing insights into the consistency and reliability of the dataset.

Nominal data represent categories or labels without an inherent order, while ordinal data have categories with a meaningful order or ranking, but the differences between categories may not be quantifiable.

Computing a measure of variability is important because it provides insights into the spread and dispersion of data points within a dataset. Measures of variability, such as range, variance, and standard deviation, allow us to understand the extent to which data points deviate from the central tendency (such as the mean or median). This information is valuable in various fields, including statistics, research, and decision-making processes. By quantifying variability, we can assess the consistency, stability, and reliability of data, identify outliers or extreme values, compare datasets, and evaluate the effectiveness of interventions or treatments.

Nominal data refer to categories or labels that have no inherent order or numerical value. They simply represent different groups or classifications. Nominal data are used to differentiate or identify distinct entities or attributes. For example, in a survey asking participants about their favorite color, the options may be red, blue, or green. There is no natural order or ranking associated with these colors. Ordinal data, on the other hand, have categories with an inherent order or ranking. Although the differences between categories may not be quantifiable or equal, there is a meaningful order. Examples of ordinal data include survey ratings or Likert scales, where participants express their agreement or disagreement on a scale from "strongly agree" to "strongly disagree." The order of the responses reflects varying levels of agreement without indicating precise numerical differences between them.

Learn more about Computing here:

https://brainly.com/question/15707178

#SPJ11

Using a trigonometric relation we can see that:

CA = 5.03

On the image we can see a right triangle, we can see that the angle B is 40°, and the length of BC is 6 units.

We want to get CA, which is the opposite cathetus, if we use the trigonometric relation:

tan(B) = (opposite cathetus)/(adjacent cathetus)

Then we will get:

tan(40°) = CA/6

Solving for CA

CA = 6*tan(40°)

CA = 5.03

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

Answer:

12e - 6f -8

Step-by-step explanation:

(6e−3f−4)⋅2

Multiply the 2 by each term inside the parentheses

2*6e -2*3f -4*2

12e - 6f -8

Answer:

= 3x -4y

Step-by-step explanation:

The most appropriate type of graph for graphing heart rate data over the time period of 120 seconds would be a line graph or a scatter plot.

A line graph is useful when we want to show the trend or changes in a variable over time. It would allow us to plot the heart rate on the y-axis and the time on the x-axis, connecting the data points with a line to represent the change in heart rate over the 120-second period.

A scatter plot can also be used to display heart rate data over time. In a scatter plot, each data point represents a heart rate measurement at a specific time point. By plotting the heart rate on the y-axis and the time on the x-axis, we can observe the distribution of the data points and any potential patterns or trends.

Ultimately, the choice between a line graph and a scatter plot depends on the specific nature of the data and the purpose of the graph. If the heart rate data is continuous and measured at regular intervals, a line graph would be a suitable choice. If the heart rate data is more discrete or irregularly measured, a scatter plot would be more appropriate.

to know more about graph visit:

brainly.com/question/29198838

#SPJ11

Answer:

Step-by-step explanation:

The factored form, use variables/numbers outside the square:

The standard form, use variables/numbers inside the square:

Factored form

Simplify to standard form

AB = √6800= 82.46 Zara walked a distance of 82.46 m from point A to point B.

Ethan started at point A and walked 30m south and 80m west and an additional 20m south, arriving at point B. On the other hand, Zara started at point A and walked in a straight line to point B. We are to determine how much further Ethan walked than Zara.

Let us first find out the distance Ethan walked: Ethan walked 30 m south and then 20 m south to arrive at point B. Therefore, Ethan covered a total distance of 30 + 20 = <<30+20=50>>50 m.

Now, let's calculate the distance that Zara walked to arrive at point B. The direction of Zara's movement is not given, so we can assume that she walked in a straight line from point A to point B. Let the point where she cuts Ethan's path be C, as shown in the figure below.

As per the given data, AC = 80 m and CB = 20 m. Using Pythagoras' theorem, we can find AB, which is the distance Zara walked. The square of the hypotenuse AB is equal to the sum of the squares of the other two sides, AC and CB. That is, AB2 = AC2 + CB2= (80)2 + (20)2= 6400 + 400= 6800

Finally, we can determine how much further Ethan walked than Zara by finding the difference between their distances. Hence, Ethan walked 50 - 82.46 = -32.46 m less than Zara. We can conclude that Ethan walked 32.46 m less than Zara.

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Using the given property, we conclude that:

f(4) = 8

We know that our function has the property:

5*f(x) = f(5*x)

Now, we also know that:

f(20) = 40

Notice that we can rewrite:

f(20) = f(5*4)

Using the above property, we know that:

f(20) = f(5*4) = 5*f(4) = 40

Using the last part:

5*f(4) = 40

f(4) = 40/5 = 8

f(4) = 8

If you want to learn more about functions:

https://brainly.com/question/2328150

#SPJ1

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

to learn more about null hypothesis visit:

https://brainly.com/question/16261813

#SPJ4

Step-by-step explanation:

180°- 43° = 137°

because when angles are supplementary the add up to 180 degrees and since we have one of the angles we can easily find the other =>

The amount of area larger is Asia than Australia will be 1.39 × 10⁷. Then the correct option is C.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Asia is the largest of the world’s seven continents, with an area of approximately 1.7 times 10⁷ square miles.

Australia, the smallest continent, has an area of approximately 3.1 times 10⁶ square miles.

Then the amount of area larger is Asia than Australia will be

⇒ 1.7 × 10⁷ – 3.1 × 10⁶

⇒ 1.7 × 10⁷ – 0.31 × 10⁷

⇒ 1.39 × 10⁷

Then the correct option is C.

More about the subtraction link is given below.

https://brainly.com/question/4319655

#SPJ1

Answer:

18 cm²

Step-by-step explanation:

you simply take (d1 × d2) / 2

and there you have it : )

(d = diagonals)