What is the perimeter and area of the shape given?

What Is The Perimeter And Area Of The Shape Given?

Answers

Answer 1

The perimeter of the given shape is 63.50 units and its area is 170.625 square units.

Step-by-step explanation:

Step 1:

First, we need to determine the distance between each of the points in the shape ABCDEFGH.

There are vertical lines and horizontal lines. The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

Step 2:

Distance of line AB, 15 - 4.5 = 10.5,

Distance of line BC, 14 - 8 = 6,

Distance of line CD, 15 - 10 = 5,

Distance of line DE, 8 - 3 = 5,

Distance of line EF, 15 - 10 = 5,

Distance of line FG, 3 - (-2.25) = 5.25,

Distance of line GH, 15 - 4.5 = 10.5 and

Distance of line AH, 14 - (-2.25) = 16.25.

Step 3;

The area of ABCDEFGH = The area of ABGH - the area of CDEF.

The area of ABGH = Length × Width = AH × AB = 16.25 × 10.5 = 170.625 square units.

The area of CDEF = Length × Width = CD × DE = 5 × 5 = 25 square units.

The area of ABCDEFGH = 170.625 - 25 = 145.625 square units.

Step 4:

The perimeter of shape ABCDEFGH is just the sum of all its lines.

Perimeter of ABCDEFGH = 10.5 + 6 + 5 + 5 + 5 + 5.25 + 10.5 + 16.25 = 63.50 units.


Related Questions

Please take a look and help if you can!

Answers

Answer:

see explanation

Step-by-step explanation:

1

The area of a rectangle = length × width

2

To find the width, divide the area by the length

3

width = [tex]\frac{area}{length}[/tex] = [tex]\frac{3x^2+9x}{3x}[/tex]

To simplify divide each term on the numerator by 3x

= [tex]\frac{3x^2}{3x}[/tex] + [tex]\frac{9x}{3x}[/tex] = x + 3 ← width

Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively.


Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going in different directions.

Which statement is true about lines a and b?


They are parallel lines.

They are perpendicular lines.

They are skew lines.

They will intersect.

Answers

Answer: I have included an image of the correct answer.

They are skew lines

Answer:

C: They are skew

if you cant read upside down.

Step-by-step explanation:

Edge 2021

The cruising speed of the bullet train will be no less than 130 miles per hour.
Use s to represent the train's cruising speed (in miles per hour).

Answers

The representation of the speed will be s ≥ 130.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

The problem raises the following statement: "The cruising speed of the bullet train will be at least 130 miles per hour"

Which means that the train has a speed of 130 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 130

This would be the inequality that the statement represents.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ2

Final answer:

The variable 's' represents the train's cruising speed in mph, and the given condition is translated into the inequality 's ≥ 130', indicating the speed is at least 130 mph.

Explanation:

To represent the cruising speed of the bullet train using a variable, we can assign s to indicate the train's cruising speed in miles per hour. Given the statement 'The cruising speed of the bullet train will be no less than 130 miles per hour,' we can translate this into an inequality: s ≥ 130. This inequality means that the value of s, the train's cruising speed, must be greater than or equal to 130 mph.

1. Zoie's recipe calls for 2/3 of a 16-ounce bag of chocolate chips.
How many ounces does she need?

Answers

Answer:

10.6666666666666666

Step-by-step explanation:

Evaluate 14 - 2xy when x=-6 and y= 2.
10
28
384
52

Answers

Answer:

I got 38

Step-by-step explanation:

14 - 2 (-6) (2) = 38

Answer:

thats a great answer i got the same

Step-by-step explanation:

I need help. Pls fill in all the black

Answers

Answer:

12 * 6 = (10 + 2) * 6

         = (10 * 6) + (2 * 6)

         = 60 + 12

         = 72

Answer: 2 is the answer in the first line

2 is the answer in the second line

12 is the answer in the third line

72 is the answer in the fourth line

Step-by-step explanation:

12 x 6= (10 + ?? ) x 6 :: subtract 10 from 12 on the left hand side, that is, 12 - 10 = 2

(10 x 6) + (?? x 6) : since 2 is the answer in the first line, this is factored. And it is still 2

60 + ?? : multiply 2 x 6 = 12

??: Add 60 + 12 = 72

I hope this helps, mark as brainliest please

The point U (-2,0) is translated 1 unit up. What are the coordinates of the resulting point, U’?

Answers

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

Answer:

U x 1U = -3 , 1

Step-by-step explanation:

U=1  x=1

y= -2 x 0 =-2  

0=-2x-2 +1

y=-2x2+1

y=-4-1

y=-3

Determine whether the given length can be side lengths of a right triangle. 12m, 60m, 61m

Answers

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

The longest side = 61, thus

61² = 3721

12² + 60² = 144 + 3600 = 3744 ≠ 3721

Thus these sides do not form a right triangle.

Sarah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined. How far does Sarah walk on Wednesday?

Answers

Answer:10.68

Step-by-step explanation:

3.1 + 1.35 = 4.45 4.45 × 2.4 = 10.68

Answer:

10.68

Step-by-step explanation:

i worked it out on a piece of paper but this is my answer

Two sides of a triangle measure 5 inches 6 inches. jason says the triangle wust be scalene is jason correct?​

Answers

Answer:

He is incorrect

If there was 2 sides of 6 inches, the base can be 5 inches and it could be an isoscles triangle

Step-by-step explanation:

He is incorrect, the third side could be 5.

what is two thirds times negative one

Answers

Answer:

-1/3

Step-by-step explanation:

2/3 times -1 is -1/3

It is -2/3 or negative two thirds

Antonio drove 26 miles north, and then drives west. At the end of his drive, it is determined that he is 50 miles from where he started. How far did he drive west

Answers

Answer:

42.7

Step-by-step explanation:

Final answer:

To find out how far Antonio drove west, we can use the Pythagorean theorem. The distance driven north (26 miles) and the distance west form the two legs of a right triangle, with the total displacement from starting point (50 miles) as the hypotenuse. Solving the equation, we find Antonio drove approximately 42.70 miles west.

Explanation:

The question asks to determine how far Antonio drove west given that he first drove 26 miles north and then drove west, ending up 50 miles from where he started. This can be solved using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this scenario, the distance Antonio drove north and the distance he drove west form the two legs of a right triangle, with the overall displacement from his starting point being the hypotenuse.

To solve the problem, let x be the distance Antonio drove west. We already know the northward distance is 26 miles, and the hypotenuse is 50 miles. Setting up the equation based on the Pythagorean theorem gives us:

26² + x² = 50²

Solving for x:

x² = 50² - 26²

x² = 2500 - 676

x² = 1824

x = √(1824)

x = 42.70 miles

So, Antonio drove approximately 42.70 miles west.

Slide the green dot from 0 to plot the number at the correct
location.
Plot V5
Plot the numbers on the number line.
V5, V8, V13
Which inequalities are true? Check all that apply
0 V5 <3
V8 > 3
V8 < 513
013 = 3.6
2.2< V5 <2.3
3.6 > 3> 3.7

Answers

The true inequalities are √5 < 3, 2.2 < √5 < 2.3, and 3.6 > √13 > 3.7. The false inequalities are √8 > 3 and √13 = 3.6. The truth value of √8, √13 is inconclusive due to the incomplete expression. These comparisons highlight the relative magnitudes of square roots in the given range of numbers.

The given numbers √5, √8, and √13 can be compared using various inequalities to determine their relative magnitudes. First, √5 is less than 3, as √5 is approximately 2.24. However, √8 is not greater than 3, as it is approximately 2.83, rendering the second inequality false.

The inequality √8, √13 is incomplete, making it impossible to determine its truth value without a specific comparison operator. Moving on, √13 is not equal to 3.6; in fact, it is approximately 3.61, making the statement false.

On the other hand, the range-based inequality 2.2 < √5 < 2.3 holds true, as √5 is approximately 2.24, falling within the given range. Similarly, the range-based inequality 3.6 > √13 > 3.7 is true since √13 is approximately 3.61, falling within the specified range.

In summary, √5 < 3, 2.2 < √5 < 2.3, and 3.6 > √13 > 3.7 are true inequalities, while √8 > 3, √13 = 3.6, and √8, √13 are inconclusive or false based on the provided information. These comparisons highlight the relative sizes of square roots within the given numerical context.

A table has a square top. The area of the table top measure 18 square feet. Find the length of one side of the table top (61)

Answers

Answer:

Side of the top of the table =4.243 feet

Step-by-step explanation:

A Square has all its sides equal with all the four angles at right angles.

Area of the top of the square table=18 Square feet

Area of a square=[tex]Side^2[/tex]

          Side   ≈    [tex]18=Side^2\\\\Side=\sqrt{18} \\\\4.243[/tex]

  The side of the top of the table is 4.243 feet

If the expression 5+2x was evaluated for x=4 it’s value would be

Answers

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

The answer to the question is going to be X=13.

How does a compass allow you to draw perfect circles?

Answers

Answer:

it makes like a guide to go around to end up as a circle

-angie:)            pls mark me brainliest!

Step-by-step explanation:

Is x greater than less than or equal to 110

Answers

Based on the image you sent, the correct answer is: C. x = 110°

Here's why:

The image shows a diagram with two angles marked. One angle is labeled 110°, and the question asks about the measure of angle x.

Since there are no markings or indications otherwise, we can assume that angle x is congruent to the labeled angle.

Therefore, the measure of angle x is also 110°.

The other answer choices are not supported by the information in the image:

A. x > 110°: There's no evidence to suggest that angle x is greater than 110°.

B. x < 110°: There's no evidence to suggest that angle x is less than 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

please help me on this math problem

Answers

Answer:

-21/8 or  -2 5/8

Step-by-step explanation:

When dividing fractions by other fractions you use keep change flip, you keep the first fraction, change the division into multiplication and you flip the second fraction. We do this because we don't have to convert the fractions into decimals this was and its easier with fractions.

The problem changes to

3/8 times -7/1

Now we multiple the numerators together and the denominators together and then put it back into a fraction

3 * -7 = -21

8 * 1 = 8

-21/8

If you need it as a mixed number it is

-2  5/8

please help me again

Answers

Answer:

y = 5

Step-by-step explanation:

The sum of all three angle measures of a triangle is ALWAYS equivalent to 180 degrees. Using this information, (4y + 10) + 75 + (3x) = 180

This is also an equilateral triangle, meaning those bottom two angles will be equivalent. 75 = 3x

So you can plug in the value for 3x into the first equation: (4y + 10) + 75 + 75 = 180

First, simplify the equation by adding the 75 and 75 together: (4y + 10) + 150 = 180

Now, subtract 150 from both sides of the equation: 4y + 10 = 30

Then subtract 10 from both sides: 4y = 20

And divide both sides by 4: y = 5

I hope this helps!

Answer:

y = 5

Step-by-step explanation:

75 / 3 = 3x / 3

25 = x

75 + 3(25) + 4y + 10 = 180

75 + 75 + 4y + 10 = 180

4y + 160 - 160 = 180 - 160

4y / 4 = 20 / 4

y = 5

Answer:  y = 5

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold. $1,530 = $17t

Answers

First, you look at 1,530 = 17t and divide 17 from t. Then, you do the same to 1,530. When you do that, it will look something like this, 1,530/17 = 17t/17. Now after doing that, your answer is going to be 90 = t, since you divided 17 from both sides. I hope this helps :)

rewrite each expression by factoring out the greatest common factor 9b+12

Answers

Answer:

  3(3b +4)

Step-by-step explanation:

The greatest common factor (GCF) of 9 and 12 is 3, so you're being asked to factor that out.

  9b +12 = 3(3b +4)

_____

The GCF can be found a couple of ways. One of them is to list the prime factors and identify those that are common.

  9b = 3 × 3 × b

  12 = 2 × 2 × 3

For these two terms, the only common factor is 3.

Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the barrel. Write an inequality showing the times there will be more than 10 gallons in the barrel. Explain your answer.



Answers

Answer:

t>15

Step-by-step explanation:

I need help ASAP!! Please no decimals

Answers

Answer:

-3/4 is plotted 3 little tabs left of 0

5/4 is plotted 1 little tab right of 1

How do you write 825 in scientific notation

Answers

Answer:

8.25 * 10^2

Step-by-step explanation:

825 = 8.25 * 100 = 8.25 * 10^2

8.25×10 to the power of 2

Kayla purchased a used truck that had 27,544 kilometers on it. Later on, she sold the truck when it had 80,452 kilometers on it. How many kilometers did Kayla put on the truck

Answers

Answer:

Kayla put 52,908 km on the truck.

Step-by-step explanation:

Subtract 27,544 km from 80,452 km to answer this question:

 80,452 km

- 27,544 km

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

 52,908 km

Kayla put 52,908 km on the truck.

Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet. Find the length of the base

Answers

Answer:

The length of the tent's base is [tex]8\sqrt{2}[/tex].

Step-by-step explanation:

Given : Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet.

To find : The length of the base ?

Solution :

Let x denote the length of the tent's base.

Refer the attached figure below.

Using Pythagorean Theorem,

[tex]9^{2} =7^{2} +(\frac{x}{2} )^2[/tex]

[tex]81=49+\frac{x^{2} }{4}[/tex]

[tex]324=196+x^{2}[/tex]

[tex]x^{2} =128[/tex]

Taking square root on both sides,

[tex]x=\sqrt{128}[/tex]

[tex]x=8\sqrt{2}[/tex]

Therefore, the length of the tent's base is [tex]8\sqrt{2}[/tex].

Answer:

 5/2

Explanation:

<3

What is a equivalent expression for 5times v+6

Answers

Answer:

5v +30

Step-by-step explanation:

[tex]5(v + 6) \\ = 5v + 5 \times 6 \\ = 5v + 30[/tex]

Charles earns an annual salary of $61,870. If he is paid weekly, much would his pay be each week?

Answers

61,870/52=1,189.80769

A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit?

A. 3/13
B. 16/39
C. 2 7/16
D. 4 1/3
(PLEASE INCLUDE STEP BY STEP)

Answers

Answer:

D

Step-by-step explanation:

Kg : min

3¼ : ¾

13/4 : 3/4

13 : 3

13/3 : 1

13/3 = 4 ⅓

Solve and graph the solutions of the equation –|x – 2| + 9 > 6

Answers

Solution:

[tex]\boxed{-1<x<5}[/tex]

Graph:

Option c.

Explanation:

In this exercise we have the following inequality:

[tex]-\mid x - 2 \mid + 9 > 6[/tex]

Step 1. Subtract 9 from both sides:

[tex]-\mid x - 2 \mid + 9-9 > 6-9 \\ \\ -\mid x - 2 \mid > -3[/tex]

Step 2. Multiply by -1 to both sides

[tex]\mid x - 2 \mid < 3 \ \text{The direction of the inequality changes when multiplying by -1}[/tex]

Step 3. Apply property

[tex]\mid x \mid <a \rightarrow -a<x<a[/tex]

So:

[tex]\mid x - 2 \mid < 3 \rightarrow -3<x-2<3 \\ \\ Adding \ 2: \\ \\ -3+2<x-2+2<3+2 \\ \\ \boxed{-1<x<5}[/tex]

So the correct option is C.

Other Questions
Calculate the noise voltage spectrum Su(f) on a paraller RC circuit with R=1 kOhm and C=1 nF. (Don't forget to provide the unit!) (3 points) - How much it is at 1 Hz ? Carl has worked on a factory line for years. Recently, his job on the line has been increasingly replaced by robotics in his industry. As a result, Carl is laid off. Carl is struggling to find a job in his particular field because the majority of positions have been eliminated due to robotics technology. What type of unemployment is Carl experiencing Pavlov found that once he conditioned a dog to salivate in response to a tone, a tone that was slightly higher or lower in pitch would also make the dog salivate. This phenomenon is called:A. spontaneous recovery.B. stimulus discrimination.C. backward conditioning.D. stimulus generalization. Assessment started: undefined.Item 1How did the Treaty of Versailles affect the rise of Adolf Hitler to power in Germany?Many Germans believed the treaty was unfair and humiliating, and Hitler used their anger to gain support.France used the treaty to force the German people to choose between Hitler's Nazi Party and the German Communists.The treaty outlawed the German parliament, making it easy for Hitler to achieve one-person rule.The treaty formed an alliance between Germany and the Soviet Union that allowed Hitler to occupy Eastern Europe The length of a room is 2 feet more then the width. If the area of the room is 120 ft what is the length and the width of the room Explain how Whitmans word choice and line arrangement in lines 4-8 create a feeling of vitality and motion in this section Bonjor!! Could someone please help me solve this If an object oscillates in simple harmonic motion, with the position described by the equation: x(t) = 42.5*cos(21t) What is the angular frequency of oscillation w ? Select the best answer for the question.3. What's the voltage drop if V= 56 V, V2 = 35 V, and V, = 3 VO A. 18 VO B. 32 VO C.21 VO D. 94 V A 63 kg astronaut drifting with 7.0 m/s to the right withrespect to a spacecraft uses a jetpack to slow down.Suppose it takes 14.0 s to come to a stop with respect to the spacecraft. What is the force exerted by the jetpack? It has been said that there is no such thing as a sustainable strategic advantage. Do you agree? Why or why not? Which city is known to South Africans as the "Mother City" ? In at least 100 words, summarize Wheatley's "To His Excellency, General Washington." Getting enough sleep. 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis test to check whether this represents a statistically signi cant di erence from 50%, and use a signi cance level of 0.01. If you were to remove an electron from a sodium atom that has eleven protons, what would be the electrical charge of the ion? What was the effect of increased Nationalism among European nations?A. It created a system of alliances for control of Asia and Africa.B. It created intense rivalries and competition for colonies.C. It created opposition to the Monroe Doctrine in Europe. Will web browser cannot open any web page what should will do first The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of . 252 ft3 261 ft3 288 ft3 324 ft3 -2/x^2-4 + x-1/x^2-2x 1. Identify the type of problem2. Think of how to do this problem3. Do the Work4. Answer Ross is being interviewed for an entry-level financial analyst position at a well-known asset management company. Ross is asked questions about the current state of the U.S. stock market, the current net worth of certain financial firms, and concepts such as IPOs and mergers from a set of predetermined questions that the interviewer has prepared. This is an example of a(n) _____ interview.