Aregular decagon has a radius of 8 cm. What is the approximate area of the decagon?​

Answers

Answer 1

Using a calculator we can approximate this to be A ≈ 568.89 cm^2.

What is regular decagon?

A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).

The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.

Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.


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Related Questions

Which property is demonstrated below?
a times c = c times a


A.
associative property
B.
distributive property
C.
commutative property
D. identity property

Answers

Answer:

distributive property is your answer

Fractions greather than 1/2

Answers

Answer:

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)

Step-by-step explanation:

There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!

Forming a Rule:

Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.

This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".

Examples:

Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)

[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.

Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2

A bike shop purchased 12 mountain bikes wholesale for $ 189 . They want to make a 25 % on each bike. What is the sale price of the mountain bike after markup?

Answers

The cost of the Bike wholesale after the markup is $236.25

How to determine the cost after the markup

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

Bike wholesale = $189

Markup = 25%

The cost of the bike wholesale after the markup is then calculated as

Cost = Bike wholesale * (1 + markup)

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

Cost = 189 * (1 + 25%)

Evaluate the products

Cost = 236.25

Hence, the cost is $236.25

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if the total surface area of imer part of a lidless cubical box is 2000cm2, (a) । Find the length of the box. (b)। Find the volurne of the box. (c) If the cost of milk is Rs. 120 per litre, find the cost of milk to fill this box.​

Answers

Step-by-step explanation:

a

sa= 6l²

2000=6l²

l²=333.3

l= 18.2565

b.

v=l³

v= 18.2565³

v= 6084cm³

HELP ASAP!
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

Jana has a better batting average, because she has a higher ratio of hits to total attempts. You can find the batting average for each player by dividing the number of hits by the number of attempts. In this case, Jana's batting average is 7 hits / 10 attempts = 0.7, and Tasha's batting average is 10 hits / 16 attempts = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

-x^2q-2x+10=0
Using the quadratic function above, identify all the parts of the function below.
A:
B:
C:
Axis of symmetry :

Answers

Answer:

In the quadratic function "y = -x^2q - 2x + 10", the term "-x^2q" is the coefficient of the quadratic term and is represented by the letter "A". The term "-2x" is the coefficient of the linear term and is represented by the letter "B". The constant term "10" is the coefficient of the constant term and is represented by the letter "C".

The axis of symmetry of the graph of this quadratic function is the line that divides the graph into two congruent halves. It can be found by using the formula "x = -B / 2A". In this case, the axis of symmetry is "x = -(-2) / 2(-x^2q) = x^2q / x".

So in the function "y = -x^2q - 2x + 10", the coefficient of the quadratic term is "A = -x^2q", the coefficient of the linear term is "B = -2x", the coefficient of the constant term is "C = 10", and the axis of symmetry is "x = x^2q / x".

5 Bill hits a hockey puck on a frozen pond.
He records the distance the puck travels
over time. Use any method to explain
whether the distance the puck travels per
second is constant.

Answers

Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.

If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.

To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.

Step-by-step explanation:

Express (x-12)^2(x−12)
2
as a trinomial in standard form.

Answers

The trinomial (x - 12)² in standard form is x² - 24x + 144

How to evaluate the trinomial in standard form

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

(x-12)^2

Express properly

So, we have the following representation

(x - 12)²

Expand the expression

This gives

(x - 12)² = (x - 12) * (x - 12)

Open the brackets

This gives

(x - 12)² = x² - 12x - 12x + 144

Evaluate the like terms

(x - 12)² = x² - 24x + 144

Hence, the trinomial is x² - 24x + 144

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Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94,900

What was the population of the town in 2020?

Answers

Answer:

Step-by-step explanation:

Answer:

97611 is the correct answer

PLEASE HELP ME ASAP NOW PLEASE

Answers

The lines with a slope larger than f(x) are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

Which one is the linear equation shown on the graph?

A general linear equation can be written as:

y = a*x + b

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

First, you can see that the line crosses the y-axis at y = -4, so the line is something like:

y = a*x - 4

And we can see that it crosses the x-axis at x = 2, then we can write the equation:

0 = a*2 - 4

4 = a*2

4/2 = a

2 = a

So the linear equation on the graph is:

y = 2*x - 4

The slope is 2, the linear equations with a slope larger than that are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

Which can be rewritten as:

y = (5/4)*16x - (5/4)*(1/2)

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4 times a number decreased by 2 is at most 10

Answers

Answer: N is less than or equal to 2

The statement above can be written as
4n - 2 <= 10.

1. Add two on both sides
4n -2+2 <= 10-2

2. Simplify
4n <= 8

3. Divide by 4 on both sides
4n/4 <= 8/4

4. Simplify
N<= 2

Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection

Answers

Answer:

40 + 5 = 45

45 ÷ 9 = 5

Therefore, he will have 5 boxes of rocks.

Write an equation that represents the line. Use exact numbers

Answers

The equation of a line is y = 7/9x -3.5. using exact numbers from the graph.

What is the slope intercept of a line?

A straight line is produced by a linear function. Therefore, the slope has a constant value. If the slope was variable, a straight-line graph would not exist. When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given a line in the graph in that we can see that,

At x = 0, y is -3.5 and at y = 0, x is 4.5 thus,

coordinates of the given line are (0, -.35) and (4.5, 0)

Therefore the slope of the line (m) = (y₂-y₁)/ (x₂ -x₁)

The slope of the line = 3.5/4.5 = 7/9

therefore equation of the line in the slope-intercept form:

y = 7/9 x +  c

Since this line passe from (0, -3.5)

hence, -3.5 = c

therefore, using exact numbers equation of the line is y = 7/9x -3.5.

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Should stockholder wealth maximization be thought of as a long-term or a short-term goal? For example, if one action increases a firm’s stock price from a current level of Rs. 1600 to Rs. 2000 in 6 months and then to Rs. 2400 in 5 years, but another action keeps the stock at Rs. 1600 for several years but then increases it to Rs. 3000 in 5 years, which action would be better? Think of some specific corporate actions that have these general tendencies

Answers

The action which would be better is the latter since it provides a higher average return in the span of 5 years.

What is Wealth maximization?

This is referred to as the concept of increasing a firm's worth to increase the value of stockholders' shares and it is usually considered a long-term goal.

In this scenario, the action which involves the stock price rising from Rs. 1600 to Rs. 3000 provides a higher average return in the span of 5 years which is a long-term goal since it is assumed that shareholders invest in a company to meet their long-term financial goal and the corporate actions which have these general tendencies is lending to people and organizations at a proposed interest rate.

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8x +1 =7x +5

Please help me

Answers

Answer:

x = 4

Step-by-step explanation:

i. 8x + 1 = 7x + 5

ii. 8x - 7x = 5 - 1

iii. x = 4

This subtraction represents a translation of the
given triangle
——- and ——-

Answers

Answer:

right 2 unitsdown 4 units

Step-by-step explanation:

You want to know the translation effected by subtracting -2 from the x-coordinate, and subtracting -4 from the y-coordinate of the vertices of a triangle.

Translation

You have correctly observed that the triangle vertex (-2, 0) is translated to (0, -4) by the subtraction of the translation matrix. That is, the x-coordinate is increased by 2, moving the point 2 units to the right, while the y-coordinate is decreased by 4, moving the point 4 units down.

The translation is to the right by 2 units, and a translation down by 4 units.

Answer: 2 units right  4 units down

Step-by-step explanation: trust

a movie theater has 24 screens. ration of action to other films is 1:2. How many action films are currently showing

Answers

Answer: 12

Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.

In which step was the addition property of equality applied?

Answers

Answer:

Step-by-step explanation:

Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.

Q.
The surface area of a cube is
37.5 cm². What is the area of
each side of the cube?

Answers

The total surface area of the cube will be 37.5 cm²

What is the surface area of a cube?A three-dimensional shape's surface area is the sum of all of its faces. Finding the area of each face and adding them together gives us the surface area of a shape.Surface area analysis refers to the measurement of a particle's available surface. It is important because it is the means by which a solid interacts with its surroundings, whether they are gases, liquid, or other solids.

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

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Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?

Answers

Eric picks 17/40 baskets of strawberries more than Kiki.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

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area of 6ft 10ft 14ft figure

Answers

Answer:

209.25

Step-by-step explanation:

Calculate the areas of the triangle, rectangle, and half circle, then add them together:

triangle = 1/2bh = 1/2(6)(10) = 30

rectangle = bh = (14)(10) = 140

half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25

radius = r = D/2 = 10/2 = 5

Total area = 30 + 140 + 39.25 = 209.25

Answer:

209.25 ft²

Step-by-step explanation:

To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.

Area of the triangle.

[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]

Area of the rectangle.

[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]

Area of the semi circle.

[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]

Add up all the areas to find the total area.

[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]

write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions

Answers

Answer:

4^5 = 1024

4×4×4×4×4 = 1024

Step-by-step explanation:

An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.

A product of factors is going to show the multiplication written out sort of in a long format:

4 × 4 × 4 × 4 × 4

4^5 = 1024

4×4×4×4×4 = 1024

10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings.

Answers

The pre-image and picture will become congruent to one another by the following transformations: Reflection, Rotation and Translation

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms).

Any of the aforementioned modifications result in an exact replica of the pre-image in the picture. The only thing that has changed about the figure is that it has been moved, rotated, or somehow reflected. The figurine is still the same size and form as before. Isometries are the name for these transformations.

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A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.


Can someone please help me quickly!! And also let me know if I got the first 2 correct

Answers

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

What is the amount of salt?

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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the number of geusts,g, coming for dinner is not 8

Answers

The number of guests, g, coming for dinner is not 8, is g ≠ 8.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

The expression,

the number of guests, g, coming for dinner is not 8.

That means,

Let the number is g.

According to the question,

the number is not equals to 8.

That means,

the expression in the numerator form,

g ≠ 8.

Therefore, the term in the mathematical form g ≠ 8.

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Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a

Answers

The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7

What are Algebraic Expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Method to simplify any algebraic Expressions are :

By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants together

Given:

=3a²+1/4a+3+a²+4+1/4a

=(3a²+a²)+(1/4a+1/4a)+(3+4)

=4a²+1/2a+7

So the Answer is

=4a²+1/2a+7

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The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.

Answers

Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

What each quantity represents in the situation.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

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A circle of radius 8 cm is cut into 6 parts
of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.

Answers

To find the area of each part of the circle, we first need to find the total area of the circle. The formula for the area of a circle is A = πr^2, where A is the area, r is the radius, and π (pi) is a constant approximately equal to 3.14. Plugging in the given values, we find that the total area of the circle is:

A = π * 8^2 = 3.14 * 64 = 201.12 cm^2

Since the circle is divided into 6 equal parts, the area of each part is equal to the total area of the circle divided by 6:

Area of each part = 201.12 cm^2 / 6 = 33.52 cm^2

Rounded to 2 decimal places, the area of each part is 33.52 cm^2.

Answer:  To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.

The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.

In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².

Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².

Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².

Step-by-step explanation:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value?

Answers

The test statistic from the factory population is 2.12. The p value is given as .017003.

How to solve for the test statistics

We have the following values to solve the problem with

n = 58

sample mean x = 12.07

standard deviation = 0.25 meters

u = length = 12

The formula is given by

[tex]z= \frac{x-u}{sd/\sqrt{n} }[/tex]

when we insert the values we would have:

[tex]z= \frac{12.07-12}{0.25/\sqrt{58} }[/tex]

z = 0.07 / 0.033

z = 2.12

we have to find the p value when z = 2.12

The p value is 0.017003 using a statistical calculator

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Determine the perimeter of the right triangle shown.

24 units
10 units
8 units
6 units

Answers

Answer:

A)  24 units

----------------------------------

Find the legs first:

5 - (-3) = 8 units,4 - (-2) = 6 units.

Find the hypotenuse using Pythagorean:

[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]

Find the perimeter:

P = 8 + 6 + 10 = 24 units

Correct choice is A.

Answer:

A)  24 units

Step-by-step explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

Base = 8 unitsHeight = 6 units

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]

Other Questions
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