It takes apprοximately 3.5 years fοr an investment with an annual interest rate οf 20%, cοmpοunded cοntinuοusly, tο dοuble frοm $9,300 tο $18,600.
What is cοmpοund interest?Cοmpοund interest is a sοrt οf interest that is calculated using bοth the principal—the initial amοunt invested οr bοrrοwed—and the interest that has accrued οver time. In οther wοrds, the interest fοr the fοllοwing periοd is cοmputed οn the new, larger amοunt after the interest generated during each periοd has been added tο the principal.
Cοmpοund interest can be explained as interest οn interest. The principle grοws οver time at a rising rate as the interest generated in each periοd is added tο it. Because οf this, cοmpοund interest is an effective instrument fοr lοng-term investing and saving.
Fοr instance, if yοu put $1,000 intο an accοunt with a cοmpοund interest rate οf 5%, yοu will receive $50 in interest the first year. Yοur tοtal sum at the end οf the first year will be $1,050 (the initial $1,000 plus $50 in interest). Yοu will receive $52.50 in interest since in the secοnd year the interest is cοmputed οn $1,050 rather than $1,000. This will increase yοur οverall balance tο $1,102.50 by the cοnclusiοn οf the secοnd year, and sο οn fοr succeeding years.
In cοnclusiοn, cοmpοund interest can be a pοtent tοοl fοr lοng-term grοwth οf yοur savings οr investments, but it's critical tο cοmprehend hοw it wοrks and pick assets with cοmpetitive interest rates and lοw expenses.
Tο find the time it takes fοr an investment tο dοuble with cοntinuοus cοmpοunding, we can use the fοrmula:
[tex]t = ln(2) / (r \times ln(1 + r))[/tex]
where:
t is the time it takes fοr the investment to double
r is the annual interest rate as a decimal
In this case, the annual interest rate is 20%, or 0.20 in decimal fοrm. So,
we can plug in the values and sοlve for t:
[tex]t = ln(2) / (0.20 \times ln(1 + 0.20))\\t = 3.5 years[/tex]
Therefore, it takes apprοximately 3.5 years for an investment with an annual interest rate of 20%, compounded continuously, to dοuble from $9,300 tο $18,600.
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Identify the inequality graphed on the number line.
A. x _> 14
B. x < 14
C. x > 14
D. x _< 14
D. x ≤ 14
Hope this helped :)
Cost of windows in Orange is Rs.45. a) find the cost of one score orange. b) how many orange can be purchased for Rs.60.
16 oranges can be purchased in linear equation.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
cost of 12 oranges = 45
Thus, number if oranges we will get for ₹1 = 12/45 oranges.
Thus, the number of oranges that we can buy fro ₹60 = (12/45) × 60 = 16.
Thus, 16 oranges can be purchased.
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What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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23/7 plus 76/14 as a MIXED NUMBER
Answer: 8 5/7
Step-by-step explanation:
Well, first you make the common denominator between the two, which would be 46/14 and 76/14. Now you add 46 and 76 and receive 122/14. You can simplify that and get 61/7, and now you turn it into a mixed number:
8 5/7
Everything step by step
The number of touchdowns scored by the defense of the professional football team in the season was C. 10 touchdowns.
How to find the number of touchdowns ?The team scored a total of 242 points, and the defense scored about 24% of those points, which is:
0.24 x 242 = 58.08
This means that the defense scored approximately 58 points during the season. If a touchdown is worth 6 points, we can find the number of touchdowns scored by the defense by dividing the total number of points scored by 6:
58 / 6 = 9.67
So the defense scored approximately 9.67 touchdowns during the season. Since we can't have a fraction of a touchdown, the closest whole number answer would be 10 touchdowns.
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Find the Value of the sphere
The volume of the sphere according to the question will be approximately 7232.752cm³.
What is a sphere?
A geometric shape with a sphere-like appearance. In three dimensions, the sphere is defined. The sphere is a three-dimensional solid with a volume and surface area.
What is the Volume of sphere?
A sphere is a perfectly round geometrical 3D object. The formula for its volume equals:
Formulae of Volume of sphere = (4/3) × π × r³
So according to the question:
r = 12cm(given)
Substitute in above formulae:
=(4/3)×3.14×12×12×12 cm³ [Here 4/3= 1.333, π=3.14,r=12]
= 1.333×3.14×12×12×12 cm³
Volume of sphere will be =7232.752 cm³
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A sandwich shop offers 4 types of bread, 5 meats, 7 cheeses, 4 condiment options, and you can pick veggies or no veggies. How many sandwiches are possible?
Answer:
Step-by-step explanation: OK so I don't know if I'm exactly right on this but what I would do is I would first read it more than 1 time and I would see that the sandwich shop offers 4 types of bread, that's 4 different types of bread. Then it says 5 meats, 7 cheeses, 4 condiment options, and you can pick veggies or no veggies. So what I did was I multiplied 4 by 5 and got 20, then I multiplied 7 by 4 and got 28, then I added 20 and 28 and got 48 sandwiches are possible. Then to make sure I was correct I did 4 times 5 times 7 times 4 by accident and I got 560. So I don't know which one is correct but I just thought that I could at least try to help you because even I have problems with problems like this one too. So I hope I helped you even a little bit.
If - 3y = 1 and 11y - x = -5, then what does x - 10y = ?
The answer for x - 10y = 14/3.
Solving for x and y by substitution methodTo solve for x and y, we can use the first equation to solve for y in terms of x:
-3y = 1
y = -1/3
Now we can substitute this value of y into the second equation and solve for x:
11y - x = -5
11(-1/3) - x = -5
-x = -5 + 11/3
-x = -4/3
x = 4/3
Now that we have found the values of x and y, we can substitute them into the expression x - 10y:
x - 10y = (4/3) - 10(-1/3)
x - 10y = 4/3 + 10/3
x - 10y = 14/3
Therefore, x - 10y = 14/3.
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Select the solution to the subtraction problem expressed by the number line below.
Terri and her father caught 7 fish on a recent fishing trip. The weights of the fish are listed below, in pounds. 5.6, 11.0, 4.0, 12.2, 7.0, 10.0, 4.2 Which statement is supported by the data?
The heaviest fish caught weighed more than 12 pounds.
What is mean in statistics?
In statistics, the mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the data set and dividing the sum by the number of values. The mean is also called the arithmetic mean or the average. It is commonly used to describe the typical value of a group of numbers.
To determine which statement is supported by the data, we need to analyze the weights of the fish that Terri and her father caught. Here are some possible statements that could be supported by the data:
A. The average weight of the fish caught was less than 7 pounds.
B. The heaviest fish caught weighed more than 12 pounds.
C. The total weight of the fish caught was more than 60 pounds.
D. The range of weights of the fish caught was between 4 and 12 pounds.
To determine which statement is supported, we can calculate some basic statistics:
Mean (average) weight: (5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2) / 7 = 7.8 pounds
Maximum weight: 12.2 pounds
Minimum weight: 4.0 pounds
Range of weights: 12.2 - 4.0 = 8.2 pounds
Total weight: 5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2 = 54 pounds
Based on this analysis, we can see that statement C ("The total weight of the fish caught was more than 60 pounds") is not supported by the data, as the total weight was only 54 pounds.
Statement A ("The average weight of the fish caught was less than 7 pounds") is also not supported, as the average weight was 7.8 pounds.
Statement B ("The heaviest fish caught weighed more than 12 pounds") is supported, as the heaviest fish weighed 12.2 pounds.
Finally, statement D ("The range of weights of the fish caught was between 4 and 12 pounds") is also supported, as the weights ranged from 4.0 to 12.2 pounds.
Therefore, the correct answer is either B or D, depending on the context of the question.
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SOMEONE ANSWER THIS PLEASE THE QUESTION IS ON THE SIDE IN THE PICTURE
Answer:
Step-by-step explanation:
I'm unable to solve this, The photo is unclear and to small.
If you 3 lobster raviolis and 5 steak salads about how much will you earn in commission (round to the nearest hundredth) If you get paid $50 for working today, how much will you earn in total, including commission ?
The tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.
How to find the commission?Tο answer this questiοn, we need tο knοw the cοmmissiοn rate fοr the lοbster raviοli and k salads. Let's assume the cοmmissiοn rate is 10% fοr bοth items.
If the lοbster raviοli cοst $15 each and the steak salads cοst $12 each, then the tοtal cοmmissiοn earned wοuld be:
3 x $15 x 0.10 + 5 x $12 x 0.10 = $13.50
Therefοre, the cοmmissiοn earned is $13.50.
Tο find the tοtal amοunt earned, including cοmmissiοn and base pay, we simply add the cοmmissiοn earned tο the base pay:
$50 + $13.50 = $63.50
Therefοre, the tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.
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I need help! Please include an explanation.
Based on the information in the graph, the perimeter of the figure would be 48.
How to find the perimeter of the figure?To find the perimeter of the figure we must add the value of all the sides. In this case, this figure has 8 sides. However, in essence it is a rectangle because all the angles are 90°, so we could assume that the sides on the right add up to 6 as the side on the left. Also the bottom sides would add up to 18 like the top.
According to the above, we could infer that the perimeter of the figure is:
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All of the following employee information is included on a W-2 form EXCEPT..
Overall, the W-2 form is an important document for employees to receive and keep for tax purposes, but it is not comprehensive in terms of all the financial details of their employment.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
A W-2 form is an Internal Revenue Service (IRS) tax form that employers are required to provide to their employees every year. It reports the employee's annual wages and the amount of taxes withheld from their paychecks. While a W-2 form contains a lot of important information about an employee's earnings and tax withholding, it does not include every detail about their employment or financial situation. Some examples of information that are not included on a W-2 form include:
Information about non-wage income, such as interest or dividends
Information about benefits received, such as health insurance or retirement plan contributions
Information about deductions or credits, such as charitable contributions or education expenses
Information about stock options or other forms of equity compensation
Information about expenses related to employment, such as travel or equipment costs.
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Because I’m pretty much fed up with college level algebra
Please explain to me (literally) how I might use it in everyday life
If you give me a good explanation, I might reconsider giving any CONSIDERATION to the subject
Answer:
A business person will use algebra to determine whether a piece of equipment does not lose its worth if it is in stock.
Step-by-step explanation:
Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 10 inches and height of 7 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 5 squared times 7
V equals 355 over 113 times 7 squared times 5
V equals 355 over 113 times 7 squared times 10
V equals 355 over 113 times 10 squared times 7
The correct method to calculate the number of cubic units(volume) of cake batter needed to fill the mold is option (a) , i.e V equals 355 over 113 times 5 squared times 7.
What is mensuration?Mensuration is the branch of mathematics concerned with the study of various geometric shapes, their areas and volumes. In a broad sense, it is about the process of measurement. Measurement is a branch of mathematics. That is measurement.
Solution:
Given, Diameter = 10 inches
Radius = 5 inches
Height = 7 inches
Volume of cylinder = πr²h
= (355/113)×5²×7
= 3.14×25×7
= 549.77 inches³
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put the steps to prove the vertical angle theorem in the correct order
Create four angles by drawing a straight line that meets another straight line at an angle. To keep track of the angles, assign letters to each one. Make a note of the angles' measurements using a protractor.
What lines connect to create the four right angles?A right angle is created when two perpendicular lines cross at an exact 90-degree angle. Four 90-degree right angles are formed by intersecting perpendicular lines.
Which of the four angles that are created when two lines connect is 90 degrees?A right angle is a right angle if one of the four angles created by two intersecting lines is a right angle. Straight lines that are perpendicular to one another intersect at a 90° angle.
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I don’t understand how to do these problems and I have a test on them tomorrow. Pls help
Answer: There are no questions posted
Step-by-step explanation:
15 POINTS
Identify the roots in the given
{-8}
{-2, 4}
{0,-8}
{-2, -8,4}
The set containing the roots of the graphed quadratic function is given as follows:
{-3, 1}
How to obtain the roots of a function?The roots of a function can be obtained from the graph of the function, as they also represent the x-intercepts of the function.
The x-intercepts of a function are given by the values of x at which the graph of the function crosses the x-axis, which is the horizontal axis.
The values of x for which the graphed function crosses the x-axis are given as follows:
x = -3 -> 3 units to the left of the y-axis.x = 1 -> 1 unit to the right of the y-axis.Hence the set containing the roots of the graphed quadratic function is given as follows:
{-3, 1}
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y = 2x + 4
4y - 8x = 16
Answer: Infinitely many solutions
Step-by-step explanation:
Solve by Substitution :
Solve equation [2] for the variable y
y = 2x + 4
Plug this in for variable y in equation [1]
4•(2x+4) - 8x = 16
0 = 0 => Infinitely many solutions
Please make me brainliest!
An aquarium can be modeled as a right rectangular prism and it can hold 1120 cubic inches of water when it is full. Its length is 20 in and width is 8 in. Find the height of the aquarium in inches. Round your answer to the nearest tenth if necessary.
The height of the right rectangular prism aquarium is 7 inches
How to determine the height of the aquariumWe can use the formula for the volume of a right rectangular prism to find the height of the aquarium.
The formula is V = l x w x h,
Where V is the volume, l is the length, w is the width, and h is the height.
In this case, we know that the volume of the aquarium is 1120 cubic inches, the length is 20 inches, and the width is 8 inches.
Therefore, we can write:
1120 = 20 x 8 x h
Simplifying the right side of the equation, we get:
1120 = 160h
Dividing both sides by 160, we obtain:
h = 1120/160 = 7
Therefore, the height of the aquarium is 7 inches.
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Answer:7
Step-by-step explanation:
Please answer quick I put 100 points and I will Mark Brainliest!!
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4500/3 πin3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. One cup has a diameter of 6 in. and a height of 14 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. One cup has a diameter of 10 in. and a height of 12 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Answer:
By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.
How many coops does Carissa need to scoop out in each case?
First, we know that the sink has a volume V = (2000/3)*pi in^3
A) First she uses a cone of a diameter of 4 in and a height of 8 in.
Remember that the volume of a cone of diameter D and height H is:
V = pi*(D/2)^2*H/3
Then this cone has a volume of:
V' = (pi/3)*(4in/2)^2*8in = (pi/3) 32 in^3
The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:
Rounding it, we get 63, so she needs to scoop 63 times.
B) This time the diameter is 8 in and the height 8 in, so the volume of the cone is:
V'' = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3
This time, she needs to scoop:
Rounding to the next number we get 16, she needs to scoop 16 times.
So yes, both of your answers are correct.
l be beneficial both in school and in other parts of your life.[1]
Answer:
Step-by-step explanation:
To determine how many conical cups of water Carissa must scoop out of the half-sphere sink to empty it, divide the volume of the sink by the volume of each cup.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
To determine the volume of conical cup 1 (in terms of π) given it has a diameter of 6 in and a height of 14 in, substitute r = 3 and h = 14 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:1}&=\dfrac{1}{3} \pi (3)^2(14)\\\\&=\dfrac{1}{3} \pi (9)(14)\\\\&=\dfrac{126}{3} \pi\\\\&=42 \pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 1 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 42 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{42 \pi}\\\\ &=\dfrac{4500 \pi}{126 \pi}\\\\&=\dfrac{4500}{126}\\\\&=35.7142867...\\\\&=36\;\sf(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, Carissa must scoop out 36 cups of water to empty the sink.
To determine the volume of conical cup 2 (in terms of π) given it has a diameter of 10 in and a height of 12 in, substitute r = 5 and h = 12 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:2}&=\dfrac{1}{3} \pi (5)^2(12)\\\\&=\dfrac{1}{3} \pi (25)(12)\\\\&=\dfrac{300}{3} \pi\\\\&=100\pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 2 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 100 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{100 \pi}\\\\ &=\dfrac{4500 \pi}{300\pi}\\\\&=\dfrac{4500}{300}\\\\&=15\end{aligned}[/tex]
Therefore, Carissa must scoop out 15 cups of water to empty the sink.
If a student's rank in a class of 200 students is 144, find the student's percentile rank.
The student's percentile will be 28.
What is a Percentile?Calculating percentiles is a common practise. The majority of the time, we can define percentile as a score below which a predetermined percentage of other scores fall. We might be able to tell when someone received a test score of 65 out of 90. But without knowing what percentile he belongs to, this number is meaningless. When a score is in the 90th percentile, it signifies that it is higher than the scores of 90% of test-takers.
Given : Student's rank = 144 out of 200
So, there are 56 (200-144) students whose rank is below that student.
We know that, percentile
= no. of ranks below that rank / total no. of ranks * 100
So, his percentile = 56/200 * 100
= 28 percentile.
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The dimensions of poster board paper at a store are 55 cm by 70 cm, and it sells at
$5.49. A second poster board paper measures 27.5 cm by 35 cm. Given the price of
the first poster board paper, what would be an appropriate price for the second
poster board paper? Give reasons for your answer.
The appropriate price for the second poster is $1.37. The dimensions is not equal but less than that of the first poster
How to determine the amountFrom the information given, we have that the poster takes form of a rectangle.
The formula that is used to calculate the area of a rectangle is usually expressed with the equation;
A = lw
The parameters are enumerated as;
A is the area of the rectanglel is the length w is the widthFor the first poster, we have;
Area = 55(70)
Multiply the values
Area = 3850 cm^2
Then, we have that;
3850 cm^2 = $5.49
Then, 27.5(35) = x
cross multiply the values
x = $1. 37
The dimensions of the first poster is two times greater than that of the second.
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I need the answer QUICKLY:
The experimental probability of choosing a nickel based on 13 trials would be 4 / 13
How to find the experimental probability ?The experimental probability can be found by the formula ;
= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials
Probability of picking a Nickel - 1 / 4
Number of trials - 13 trials
The experimental probability for Landon picking a Nickel on the 13th trial is :
= ( ( 1 / 4 x 12 ) + 1 ) / 13
= ( 3 + 1 ) / 13
= 4 / 13
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Mario walked at a rate of 2/3 mile every 10
minutes.
Using displacement, His unit rate every mile per hour will be 4 miles/hours.
What is displacement?When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.
Mario walked at a rate of 2/3 mile every 10 minutes.
We have,
Distance = 2/3 miles
Time = 10 minutes
On substituting these values in the above formula, we get
speed = 2/10.3
We have to find the unit rate in mile per hour, so we need to multiply it by 60, 1/15 × 60 = 4 miles/hours
Hence, his unit rate every mile per hour will be 4 miles/hours.
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ome entrepreneurs wish to establish a restaurant in a central location so that
it will serve three suburbs. On a rectangular grid with axes labelled x1 (horizontal) and x2 (vertical), the centres of the three suburbs are located at (1,2), (6,18), and (12,8). All roads run east-west (parallel with the x1 axis) or north-south (parallel with the x2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is | 12 − 6 | + | 8−18 |= 6+10 = 16.
(a) Formulate the restaurant location problem as a nonlinear optimization model.
The restaurant location problem as a nonlinear optimization model is given below.
How to explain the optimizationThe restaurant location problem can be formulated as a goal programming model with the following components:
Decision variables:
x1: the x-coordinate of the restaurant location
x2: the y-coordinate of the restaurant location
Goals:
Minimize the total distance from the restaurant to the three suburbs, calculated as follows:
Distance from suburb 1: |x1 - 1| + |x2 - 2|
Distance from suburb 2: |x1 - 6| + |x2 - 18|
Distance from suburb 3: |x1 - 12| + |x2 - 8|
Maximize the accessibility of the restaurant to the three suburbs, measured as the sum of the reciprocals of the distances from the restaurant to each suburb:
Accessibility = 1 / (|x1 - 1| + |x2 - 2|) + 1 / (|x1 - 6| + |x2 - 18|) + 1 / (|x1 - 12| + |x2 - 8|)
Constraints: None
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please help me solve this
The speed of both car A and car B are the same which is 0.7 miles per minute
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let x represent the distance travelled by car A and y represent the distance travelled by car B
Speed of car A = x /20
Car B reaches in 50 minutes, hence:
Speed of car B = y/50
Since both speed are same;
x/20 = y/50
20y = 50x (1)
Car B is 21 miles farther, then:
y - x = 21 (2)
x = 14, miles y = 35 miles
Speed of car A = speed of Car B = 14/20 = 35/50 = 0.7 miles per minute
The speed is 0.7 miles per minute
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An isosceles triangle, with equal sides labeled 20 feet. The length of base is labeled 32 feet. The altitude drawn on base is 12
Find the area of the isosceles triangle.
The area is?
Graph the image of the given triangle, reflected across the y = x line.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides. To close the triangle, select the first point again.
The image reflected by the line of the triangle is attached below.
What is an image?
A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
The coordinates of the vertices of the triangle are (1, -2), (8,1), (4,-9).
The rule of reflection across the y = x line is (x,y) → (y,x).
The reflection of (1, -2) across the y = x line is (-2,1).
The reflection of (8,1) across the y = x line is (1,8).
The reflection of (4,-9) across the y = x line is (-9,4).
The coordinates of the vertices of the reflected triangle are (-2,1), (1,8), and (-9,4).
To learn more about reflection, click on the below link:
https://brainly.com/question/30383852
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