Select all the correct answers. If the measure of angle is , which statements are true? The measure of the reference angle is . The measure of the reference angle is . The measure of the reference angle is . 0 =9/2

Answers

Answer 1

The statement cos(theta) = √3/2 is correct.

Which statement is correct?

Angles are the angles formed by 2 bisecting lines or surfaces at or near their intersection.

The following information has been provided:

The angle (theta) = [tex]\frac{2\pi }{3}[/tex] measurement has been given to us.

We must determine which propositions are true by determining the measure of angle (theta) =  [tex]\frac{2\pi }{3}[/tex]

cos(theta) = [tex]\frac{\sqrt{3} }{2}[/tex]

= cos30

theta = 30

tan(theta)= [tex]-\sqrt{3} = tan(90 + 30)[/tex]

tan(theta) = tan120

theta = 120

sin(theta) = [tex]-\frac{1}{2}[/tex] = [tex]cos(90 + 30)[/tex]

sin(theta) = sin120

theta = 120

Therefore the correct statement is cos(theta) = √3/2

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Complete question:

The measure of angle(theta) Is 2pi/3, which statements are true?

cos(theta) = √3/2

The measure of the reference angle is 30°.

The measure of the reference angle is 45°.

The measure of the reference angle is 60°.

tan(theta) = -√3

sin(theta)=-1/2​


Related Questions

Given the definitions of f(x) and g(x) below, find the value of (fog)(-1).
f(x) =-x-12
g(x) = x² – 5x -5

Answers

Answer: 11

Step-by-step explanation: To find the value of (fog)(-1), we first need to find the value of g(-1), which means plugging -1 into the equation for g(x):

g(x) = x² – 5x - 5

g(-1) = (-1)² – 5(-1) - 5

g(-1) = 1 + 5 - 5

g(-1) = 1

Now we need to find (fog)(x) by plugging g(x) into f(x) and simplifying:

f(x) = -x - 12

fog(x) = f(g(x))

fog(x) = f(x² – 5x - 5)

fog(x) = -(x² – 5x - 5) - 12

fog(x) = -x² + 5x + 17

Finally, we can find (fog)(-1) by plugging -1 into the equation for fog(x):

fog(x) = -x² + 5x + 17

(fog)(-1) = -(-1)² + 5(-1) + 17

(fog)(-1) = -1 - 5 + 17

(fog)(-1) = 11

Therefore, the value of (fog)(-1) is 11.

Pls help! Mr Douglass trains a group of student athletes. He wants to know how they are improvising in the number of sit ups they can do. The following dot plots show the number of sit ups each student was able to do last month and this month.

By how much did the mean number of sit ups increase from last month to this month?

Answers

Last month mean: 31
This month mean: 38.5
38.5-31=7.5
The mean number of sit ups increased from last month to this month is 7.5

A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 90 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Therefore , the solution of the given problem of percentage comes out to be 15 gallons of the first brand and 75 gallons of the second brand must be utilised

What is percentages?

In statistics, a figure or metric than may be presented as a percentage or 100 is denoted by the abbreviation "a%". Another unusual spelling is "pct," "pct," and "pc." The percent symbol ("%") is the method that is most usually used for this. Additionally, there are no indications or predetermined ratios of any component to the whole. Numbers are effectively integers since they frequently add up to 100.

Here,

Let's write "x" for the first brand's (55% pure antifreeze) number of gallons and "y" for the second brand's (85% pure antifreeze) number of gallons.

Given:

90 gallons of mixture total are required.

Antifreeze content in the mixture should be 80%.

Based on the information provided, we can construct the following system of equations:

Formula 1: x + y = 90

Formula 2: 0.55x + 0.85y = 0.80 * 90

=> x = 90 - y

=> 0.55(90 - y) + 0.85y = 0.80 * 90

=> 49.5 - 0.55y + 0.85y = 72

=> 0.30y = 22.5

=> y = 75

=> x = 90 - 75

=> x = 15

In order to get 90 gallons of a mixture that contains 80% pure antifreeze, 15 gallons of the first brand and 75 gallons of the second brand must be utilised.

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if the means of 5,3,6,x,9 and 10 is 7. find the value of x. class 8 ​

Answers

Answer:

The mean of the numbers 5, 3, 6, x, 9, and 10 is given as 7.

To find the value of x, we can use the formula for the mean:

mean = (sum of all the numbers) / (number of numbers)

In this case, we have:

7 = (5 + 3 + 6 + x + 9 + 10) / 6

Multiplying both sides of the equation by 6, we get:

42 = 33 + x

Subtracting 33 from both sides of the equation, we get:

x = 9

Therefore, the value of x that makes the mean of 5, 3, 6, x, 9, and 10 equal to 7 is 9.

Find the area of the regular polygon.

Answers

Answer:

This is a right angle

Step-by-step explanation:

There is a square inside of the triangle.

Mrs. Matthews gave a test to her 120 science
students. If she gives 5 bonus points to each
test grade, how will this affect the mean,
median, and mode scores?

Answers

Adding 5 bonus points to each test grade will increase all the scores by the same amount, so it will not affect the order of the scores or the position of the median. However, it will increase the mean score by 5 points because the mean is calculated by adding all the scores and dividing by the total number of scores, so each score will contribute an additional 5 points to the total.

The mode, which is the score that appears most frequently, may or may not be affected by the addition of the bonus points. It depends on whether there is a tie for the mode before the bonus points are added. If there is a tie, the bonus points may cause some of the scores to appear more frequently and create a new mode, or there may still be a tie for the mode.

In summary, adding 5 bonus points to each test grade will:

• Increase the mean score by 5 points.

• Not affect the median score.

• Potentially affect the mode score, depending on whether there is a tie for the mode before the bonus points are added
Final answer:

Adding 5 bonus points to each test grade in Mrs. Matthew's class will increase the mean, median, and mode of the scores by 5 points each.

Explanation:

The addition of 5 bonus points to each test grade will affect the mean, median, and mode in the following ways:

Mean: The mean is calculated by adding all the scores together and dividing by the total number of scores. If every student gets an additional 5 points, it would effectively increase the mean by 5 points.Median: The median is the middle score when all scores are listed in numerical order. If you add 5 points to each test grade, the median will also increase by 5 points because each score has increased by the same amount.Mode: The mode is the score that appears most frequently. If every score increases by 5, the mode will also increase by 5 points.

So, in conclusion, adding 5 bonus points to each student's test score will raise the mean, median, and mode of the scores by 5 points each.

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Is this statement true or false ?

Answers

Answer:

False

Step-by-step explanation:

The formula for the area of a circle is A = pi • r^2

Answer: False

Step-by-step explanation: A = [tex]\pi[/tex] [tex]r^{2}[/tex]

Helpppp pls it’s due rnnnn

Answers

A function relating these variables is D(x) = 10 + 2x,

D(9) = 28, meaning after 9 hours of snowfall,

What is an independent variable?

An independent variable is a variable that is manipulated or controlled by the researcher in an experiment to observe its effect on the dependent variable. It is the variable that is changed deliberately to see how it affects the outcome of the experiment.

The independent variable, x, represents the number of hours since snow began falling,

and the dependent variable is the total amount of snow on Jace's lawn because the amount of snow depends on the number of hours since it began to snow.

A function relating these variables is D(x) = 10 + 2x, where D(x) is the total amount of snow on Jace's lawn in inches after x hours of snowfall.

So, D(9) = 28, meaning after 9 hours of snowfall, Jace will have a total of 28 inches of snow on his lawn.

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which graph shows the solution to the system of linear inequalitys

Answers

The graph that shows the solution to the system of linear inequalities is the Graph D.

Which graph shows the solution to the system of linear inequality?

Here, we are given first inequality as:

Y > -1/3x + 2

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)

Second inequality is given by:

y > 2x - 3

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test). On plotting it's graph, we get the solution.

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Which of the following is not a real number?
O A. √13
OB. √-4
O C. VÌ
O D. √16

Answers

Answer: b

Step-by-step explanation:

1. ¿A cuántas familias tendríamos que estudiar para conocer la preferencia del mercado en cuanto a las marcas de shampoo para bebé, si se conoce que el número de familias con bebés en el sector de interés es de 12 000? El nivel de confianza es del 96%, su error de muestreo es 4% y la proporción esperada es del 12%.

Answers

We would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.

How to Solve the Problem?

To calculate the sample size needed to determine the market preference for baby shampoo brands, we can use the formula:

n = [(Z^2 * p * q) / E^2]

where:

n = sample size

Z = Z-score for the desired level of confidence (in this case, 1.96 for a 96% confidence level)

p = proportion expected (in this case, 0.12 or 12%)

q = 1 - p

E = margin of error (in this case, 0.04 or 4%)

Substituting these values into the formula, we get:

n = [(1.96^2 * 0.12 * 0.88) / 0.04^2] = 677.16

Since we cannot have a fraction of a family, we round up the sample size to 678 families. Therefore, we would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.

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5. An African elephant weighed 220 pounds at birth. Over the next 4 years, it grew to weigh
870 pounds.
During the 4 years, what was the average yearly growth rate of the elephant?
(A) 144.5 pounds per year
(B) 197.83 pounds per year
(C) 48.88 pounds per year
(D) 670.25 pounds per year
7.RP.1

Answers

The correct answer is an option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.

What is average?

The term "average" refers to a measure of central tendency that represents the typical or typical value in a set of data.

What is the growth rate?

Growth rate refers to the rate at which a quantity or value increases or decreases over time. It is often expressed as a percentage or a proportion and is used to measure the change in a particular variable relative to its initial value.

According to the given information:

To find the average yearly growth rate of the elephant, we can use the formula for calculating growth rate:

Growth Rate = ((Ending Value - Starting Value) / Number of Years)

In this case, the starting weight of the elephant is 220 pounds and the ending weight is 870.25 pounds. The number of years is 4.5 (since the growth occurred over 4.5 years).

Plugging these values into the formula, we get:

Growth Rate = ((870.25 - 220) / 4.5)

Simplifying the numerator, we get:

Growth Rate = 650.25 / 4.5

Dividing, we get:

Growth Rate ≈ 144.50 pounds per year

So, the correct answer is option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.

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A certain circle can be represented by the following equation.
x^2+y^2+8x-16y+31=0
What is the center of this circle?
What is the radius of this circle?

Answers

Answer:

Center= -4,8

Radius=7

Step-by-step explanation:

The function f(x)=0.75x+4.59 represents the cost of shipping packages based on a flat rate and the weight of each package, x , in pounds, where x>0 . What does 4.59 represent in the function f(x) ?

Answers

The term 4.59  is the y-intercept of the linear equation and represents the flat rate (or flat cost).

What does 4.59 represent in the function f(x) ?

We know that the linear function:

f(x)=0.75x+4.59

models the cost of shipping x packages.

Remember that the general line is:

y = ax + b

Where a is the slope and b the y-intercept.

if x ≈ 0, then you ship no packages, and in that case the value of the function becomes equal to the second term:

f(x ≈ 0) = 4.59

So the term 4.59 represents the flat rate (or flat cost).

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The probability that a certain science teacher trips over the cords in her classroom during any independent period of the day is 0.35. On average, how many periods do students need to wait until this science teacher trips over the cords in her classroom?

0.2275

0.35

2.86

3.5

Not enough information to answer this question

Answers

Answer:2.86.

Step-by-step explanation:

We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.

Part 3: Hitting the baseball over the lights


Meanwhile at the ballpark Juan was practicing his hitting while talking to some friends. He started telling them how he hit the ball over the 50 foot light tower yesterday.



The formula for this hit is h(x) = -16xsquared + 60x + 4 , where h is the height of the ball and x is the number of seconds the ball is in the air.



How can Juan provide proof to the friends that he actually hit the ball over the tower?








How high did Juan actually hit the ball? Is Juan able to mathematically back up how high he says he hit the ball?

Answers

Juan's claim is plausible based on the given function because the maximum height of the ball is 62.875 feet, which is higher than the 50-foot light tower.

Maximum function

To prove that Juan hit the ball over the 50-foot light tower, we need to find the maximum height of the ball using the given function h(x) = -16x^2 + 60x + 4 and show that the maximum height is greater than 50 feet.

The maximum height of the ball occurs at the vertex of the parabolic function h(x), which is given by the formula x = -b/2a, where a = -16 and b = 60.

Substituting these values into the formula, we get:

x = -b/2a = -60/(2*(-16)) = 1.875

So the ball reaches its maximum height after 1.875 seconds. To find the maximum height, we can substitute this value of x into the original function h(x):

h(1.875) = -16(1.875)^2 + 60(1.875) + 4 = 62.875

Therefore, the maximum height of the ball is 62.875 feet, which is higher than the 50-foot light tower. So Juan's claim is plausible based on the given function.

Based on the given function h(x) = -16x^2 + 60x + 4, the maximum height that Juan hit the ball was 62.875 feet. Therefore, Juan's claim that he hit the ball over the 50-foot light tower is mathematically backed up by the function h(x). The maximum height of the ball is higher than the height of the tower, so it is possible that Juan hit the ball over the tower.

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Working together, Mike and Stephanie can wash a car in 8.24 minutes. Had she done it alone it would have taken Stephanie 17 minutes. How long would it take Mike to do it alone?

Answers

It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.

We have,

Let's start by assigning variables to unknown quantities.

Let m be the time it takes for Mike to wash the car alone (in minutes).

We know that Stephanie takes 17 minutes to wash the car alone, so her rate of work is 1/17 car per minute.

Working together, their combined rate of work is 1/8.24 car per minute.

Using the formula:

(rate of work) = (amount of work) / (time)

we can set up the following equation to represent the work they do together:

1/8.24 = (1 car) / t

where t is the time it takes them to wash the car together.

We can also set up a similar equation for Stephanie's work alone:

1/17 = (1 car) / (t + x)

where x is the extra time it takes Mike to wash the car alone.

Since they are working on the same car, the amount of work done in both cases is the same, so we can set the two equations equal to each other and solve for x:

1/8.24 = 1/(t + x) + 1/17

Multiplying both sides by the least common multiple of the denominators (8.2417(t+x)).

17*(t+x) + 8.24*(t+x) = 8.24*17

Simplifying.

25.24t + 17x = 139.68

We also know that Mike's rate of work is 1/m car per minute.

Since we know the combined rate of work when they work together, we can set up another equation:

1/m + 1/17 = 1/8.24

Multiplying both sides by the least common multiple of the denominators (8.2417m).

178.24m + 8.2417m = 8.2417m + m8.24m

Simplifying.

141.08m = 139.68

Solving for m.

m = 0.989

Therefore,

It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.

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- Xavier earns a 15% commission on each
washing machine he sells. Last week he sold
four $450 machines. How much did he earn?

Answers

Based on the question, Xavier earned a commission of $270 on the last week.

What is the commission?

Commissions is known to be a form of variable-pay remuneration that is said to be made for services given or products sold.

Note that from the question, Xavier earns a 15% commission on all washing machine he sells, so he sold four $450 machines last week.

So, the he total sale of the four machines is:

4 x $450 = $1,800

Since Xavier's commission is 15% of $1,800, it will be calculated as :

Commission = 15% x $1,800

                  = 0.15 x $1,800

                     = $270

Hence, Xavier earned a commission of $270 last week.

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Find a quadratic equation which has solutions x=square root of 10and x=-square root of 10. Write the quadratic form in the simplest standard form x^2+bx+c

Answers

The quadratic equation in standard form can be written as:

y = x² - 10

How to find the quadratic equation?

Remember that for a quadratic equation whose solutions are x₁ and x₂, the quadratic can be written as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = √10

x = -√10

Then we can write:

y = (x+  √10)*(x - √10)

Expanding that we will get:

y = x² + √10x - √10x + √10*-√10

y = x² - 10

That is the quadratic.

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An account is opened with an initial deposit of $7,500 and earns 3.4% interest compounded semi-annually. Round all answers to the nearest dollar.

Answers

The final amount with interest earned at a rate of 3.4% compounded semi-annually would be approximately $7,758.

HOW CAN WE CALCULATE INTEREST?

Let's calculate the values based on the given information.

Given:

Initial deposit (P) = $7,500

Interest rate (r) = 3.4% or 0.034 (decimal)

Compounding frequency (n) = 2 (semi-annually)

We can use the compound interest formula to calculate the values:

A = P[tex](1 + r/n)^(nt)[/tex]

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the interest rate (in decimal)

n = the number of times interest is compounded per time period

t = the number of time periods

Let's calculate the final amount (A) after one year (2 semi-annual periods):

A =[tex]$7,500(1 + 0.034/2)^(2*1)[/tex]

A =[tex]$7,500(1.017)^2[/tex]

A = $7,500(1.034344) [rounded to 6 decimal places]

A ≈ $7,758 [rounded to the nearest dollar]

So, after one year, the final amount with interest earned at a rate of 3.4% compounded semi-annually would be approximately $7,758.

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Look at the picture for the question

Answers

The values are given below:

g(f(4)) = -29g(f(4)) = 31g(f(4)) = 4

What is a Maths Function?

In mathematics, a function is a rule that assigns to each input value (or argument) from a set called the domain, a unique output value from a set called the range.

The term "maths function" is typically used to describe a specific type of function that is studied in mathematics, which can be represented using algebraic or other mathematical expressions.

Functions can be used to describe various phenomena in mathematics, science, and other fields, and they play a fundamental role in many areas of mathematics, including calculus, linear algebra, and number theory.

Some common examples of mathematical functions include polynomial functions, trigonometric functions, exponential functions, and logarithmic functions.

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Use cylindrical coordinates to calculate :
∫∫∫Wx2+y2dVW:x^2+y^2≤25,0≤z≤2
∫∫∫W(x^2+y^2)dV=

Answers

Answer:

To solve this problem using cylindrical coordinates, we need to express the integrand and the limits of integration in terms of cylindrical coordinates. In cylindrical coordinates, a point in 3D space is represented by the radius (r), the angle (theta), and the height (z), where:

x = r cos(theta)

y = r sin(theta)

z = z

The volume element in cylindrical coordinates is given by:

dV = r dr dtheta dz

Now we can write the integral as:

∫∫∫W(x^2+y^2)dV = ∫∫∫W(r^2) r dr dtheta dz

The limits of integration are given by:

0 ≤ z ≤ 2 (since the region of integration is between z=0 and z=2)

0 ≤ r ≤ 5 (since the region of integration is within the circle of radius 5 in the xy-plane)

0 ≤ theta ≤ 2π (since the region of integration extends throughout the entire circle in the xy-plane)

Therefore, we can write the integral as:

∫∫∫W(r^2) r dr dtheta dz

= ∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

Integrating with respect to z first, we get:

∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

= ∫0^2 ∫0^5 [(r^2) r (2-0)] dr dtheta

= 2 ∫0^5 (r^3) dr ∫0^2 dtheta

= 2 (1/4) (5^4) (2)

= 1250

Therefore, the value of the integral is 1250.

How many pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixture which can be sold for 85 cents per pound?

Answers

Let x be the number of pounds of candy worth 70 cents a pound that must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixture which can be sold for 85 cents per pound.

The total weight of the mixture will be (x + 30) pounds, and the total cost of the mixture will be:

0.7x + 0.9(30) = 0.85(x + 30)

Simplifying and solving for x, we get:

0.7x + 27 = 0.85x + 25.5
0.15x = 1.5
x = 10

Therefore, 10 pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixture which can be sold for 85 cents per pound.

Answer: 10 pounds                                               .                                    

Solve for x
225 times 1/3=x

Answers

Answer:

75=x

Step-by-step explanation:

The polynomial function f has exactly one positive zero. Approximate the zero correct to two decimal places.
f(x) = 2x² - 1
-16x³-3x²-8x-2
The positive zero of f is approximately
(Round to two decimal places as needed.)

Answers

Answer:

To approximate the positive zero of the given polynomial function f(x), we can use numerical methods such as the Newton-Raphson method or the bisection method. Here, we will use the latter method.

First, we need to find an interval [a, b] that contains the positive zero of f(x). We can do this by observing the behavior of the function near the origin and near large positive values of x. We can see that f(0) = -1 is negative and that f(x) becomes more and more negative as x approaches infinity. This suggests that the positive zero of f(x) is somewhere in the interval (0, infinity).

We can evaluate f(x) at x = 1 and x = 2 to determine which half of the interval contains the positive zero. We have:

f(1) = 2(1)² - 1 - 16(1)³ - 3(1)² - 8(1) - 2 = -24

f(2) = 2(2)² - 1 - 16(2)³ - 3(2)² - 8(2) - 2 = -207

Since f(1) is negative and f(2) is very negative, we can conclude that the positive zero of f(x) is in the interval (1, 2).

Next, we can use the bisection method to refine the interval and approximate the positive zero to two decimal places. We start by evaluating f(c), where c is the midpoint of the interval (1, 2):

c = (1 + 2)/2 = 1.5

f(c) = 2(1.5)² - 1 - 16(1.5)³ - 3(1.5)² - 8(1.5) - 2 ≈ -97.875

Since f(c) is negative, the positive zero of f(x) must be in the interval (c, 2). We can repeat the process by finding the midpoint of this interval:

c = (1.5 + 2)/2 = 1.75

f(c) = 2(1.75)² - 1 - 16(1.75)³ - 3(1.75)² - 8(1.75) - 2 ≈ -38.104

Again, f(c) is negative, so the positive zero of f(x) must be in the interval (c, 2). We can repeat the process until the interval is small enough to obtain the desired level of accuracy.

Using a calculator or a computer program, we can continue the bisection method and find that the positive zero of f(x) is approximately 1.49, rounded to two decimal places.

Step-by-step explanation:

g(x) is a linear function that makes a line when you graph it. Some of its points are listed in the table below. If this line was graphed completely, would it ever intersect with the circle pictured ? Describe how you know.
x g(x)
-4 -4
-2 -2
2 2

PLEASE HELP! 30 POINTS!

Answers

I need the graph but here:
Plotting the points (-4,-4), (-2,-2), and (2,2), we can see that they lie on a straight line passing through the origin with a slope of 1.

To determine if this line intersects with the circle, we need to know the equation of the circle. We can find the equation of the circle by knowing its center and radius or by having three points on the circle. Once we have the equation of the circle, we can compare it with the equation of the line to determine if they intersect.

Let u = <-9, 2> Find -5u.

Answers

Answer:

To find -5u, we simply need to multiply each component of u by -5:

-5u = -5<-9, 2> = <(-5)(-9), (-5)(2)> = <45, -10>

Therefore, -5u is equal to the vector <45, -10>.

Find the missing side
Please help

Answers

Answer:

Step-by-step explanation:

64 - 16= 48

[tex]\sqrt{48}[/tex]

[tex]\sqrt{3*16}[/tex]

4[tex]\sqrt{3}[/tex]

Help please !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Thus, the length of walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

Explain about the perimeter of triangle:

The quickest approach to determine a triangle's perimeter is to sum up all of its sides' lengths, but you must first determine each side's length if you don't already know it.

The walk way around the filed is the perimeter of the right triangle.

walk way = base + height + hypotenuse

walk way = B + P + H

base B = 80 - 10 = 70 m

Altitude P = 70 - 20 = 50 m

For the hypotenuse H , use the Pythagorean theorem:

H² = B² + P²

H² = 70² + 50²

H² = 4900 + 2500

H² = 7400

H = 86.023

So,

walk way = B + P + H

walk way = 70 + 50 + 86.023

walk way = 206.023 m

Thus, the  walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

Know more about the perimeter of triangle:

https://brainly.com/question/17394545

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What is the distance between points (4, -2) and (4,4) on a coordinate plane

Answers

Answer:

The distance between points (4, -2) and (4,4) on a coordinate plane is 6 units. This is because the two points lie on the same vertical line, where the x-coordinate remains constant at 4. To find the distance between them, we simply need to subtract their y-coordinates: 4 - (-2) = 6. Therefore, the distance between the two points is 6 units.

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