A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle

Answers

Answer 1

Answer:

26 units

Step-by-step explanation:

A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(0, 0), B(0, 9)

= √(0 - 0)² + (9 - 0)²

= √0 + 81

= √81

= 9 units

For side BC

B(0, 9), C(4, 9)

= √(4 - 0)² + (9 - 9)²

= √4² + 0²

= √16

= 4 units

For side CD

C(4, 9), and D(4, 0)

= √(4 - 4)² + (9 - 0)²

= √0² + 9²

= √81

= 9 units

For side AD

A(0, 0), D(4, 0).

= √(4 - 0)² + (0 - 0)²

= √4² + 0

= √16

= 4 units

We can see than

AB = CD = 9 units

BC = AD = 4 units

The perimeter of a rectangle = 2(L + W)

From the above calculation

Length = 4 units

Width = 9 units

Perimeter = 2(4 + 9) units

= 2 × 13 units

= 26 units


Related Questions

Lydia's teacher wants her class to take note of the gas prices around town and round them all to the nearest whole number. Lydia found these gas prices:

$3.51, $3.84, $3.41, and $3.79.

Which of these prices would round to $3.00?

Answers

3.41, due to it being below .50

Rewrite in simplest terms: 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)

Answers

Answer:

6g-90h+6320gh-720h²-4480g²

Answer:

6g−86h

Hopefully this is correct :)

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be blue?

Answers

Answer:

0.218

Step-by-step explanation:

Probability is the likelihood of an event.

According to the word problem, of the 15 marbles, there are 7.

Since there are 7 blue marbles, the expected outcome of both events is 7.

The probability of the first blue marble is 7/15.

The probability of the second blue marble is 7/15.

To find the probability of both marbles being drawn, we must multiply both fractions.

Like this,

7/15 ⋅ 7/15 = 49/225.

49/225 in decimal form is 0.21777778

0.21777778 rounded to the nearest hundredth is 0.218.

Therefore, the probability of two blue marbles being drawn out of the bag is 0.218.

My problem is posted below:

Answers

The answer is d. 2.6 and 7

In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):

Answers

Answer:

2.32

Step-by-step explanation:

Given the data:

3, 8, 1, 4, 7

The mean absolute deviation (MAD) :

Σ|x - m| / n

Mean, m = Σx / n

Σx = 23

n = 5

Mean, m = 23 / 5 = 4.6

|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|

(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5

= 2.32

whats 24/6- 4/2 whats the answer dawg

Answers

Answer:

2

Step-by-step explanation:

24/6 - 4/2
24/6 - 12-6
=12/6
=2/1

Distance between -12 and -15 to -12 and 11

Answers

Answer:

35.4 it appears if this is ordered points of (x,y) form where the distance formula is applied or 2squareroot313

Step-by-step explanation:

A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.

Answers

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

[tex]\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm[/tex]

The length of the chord is [tex]AC=2AB=21.44\ cm[/tex]

Is hot dog a sandwich

Answers

Answer:

ofc it is i wish i could get brainleist i wanna get to expert :(

Step-by-step explanation:

If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the
number that comes on the extreme left is ________.

Answers

Answer:

The number that'll come on the exreme left will be the smallest negative integer among 12, -6, 8 , -5, 7, -9, -11 which will be - 11.

[tex] \infty \infty [/tex]

21. If the winning score in golf is the lowest number, what was the lowest score out of the integers: –2, +1, –5, +3, –2, –1, +4, 0, +1? (1 point)
–5
0
1
4
22. What is the sum of –3 and 4? (1 point)
7
–7
–1
1
23. Evaluate the expression –273 – (–576) = (1 point)
–849
303
–303
849
24. Divide:

start fraction negative 56 over 4 end fraction equals

(1 point)
14
–14


25. Evaluate the expression (2 – 19) + (–12) (1 point)
+33
–33
+29
–29
26. Solve: –2x = 22, x = ___ . (1 point)
–11
–44
+11
+20
27. Solve: 5 + 3x = –22, x = ___ . (1 point)
–9
explmathfinal_27
–81
+9
28. Solve: 5(x + 3) = 35, x = ____ . (1 point)
+10
–10
–4
+4
29. Find the median for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
30. Find first quartile for the set of data.
{80, 45, 32, 64, 22, 63, 45} (1 point)
32
64
50.14
48
31. Find the first quartile for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
32. Find the maximum for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
9.9
33. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21. (1 point)
8.5
8
20
14.1
34. If y varies directly with x and y = 2 when x = 15. Find x when y = 8. (1 point)
x = 60
x = 3.75
x = 240
x = 150
35. If y varies inversely with x, find the constant of variation with x = –40 and
y = 4. (1 point)
+10
–10
+160
–160
36. A certain project can be completed by 28 men in 90 days. The numbers of men needed varies inversely to the time needed to complete the project. If the contractor wants to complete the project in 72 days, how many men does he have to have working? (1 point)
30 men
270 men
35 men
28 men
37. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 95 kg on Earth weighs 38 kg on Mars. How much would a 100 kg person weigh on Mars? (1 point)
36.1 kg
40 kg
38 kg
41 kg
38. The money that a plumber makes varies directly with the number of hours he works. If he makes $125 in 5 hours, how much does he make in 8 hours? (1 point)
$200
$40
$78.12
$150
39. If you roll a red number cube (numbers 1–6), and a green number cube (number 1–6), how many possible combinations can you have? (1 point)
216
18
12
36
40. The multiple-choice part of an assignment has 4 possible choices for each of the 5 questions. How many possible ways can you answer the assignment? (1 point)
9
1,024
40
20
41. How many different squads of 5 players can be picked from 10 basketball players? (1 point)
252
30,240
50
120
42. Determining the number of seating arrangements with 10 people in 7 chairs requires use of ? (1 point)
combinations
permutations
probability
substitution
43. Determining the number of 3-person committees formed from a club with 12 members requires use of ? (1 point)
combinations
permutations
probability
substitution
44. Determining the number 5-card hands that can be drawn from a deck of 52 requires use of ? (1 point)
substitution
permutations
probability
combinations
45. Tyler has 5 shirts, 6 pairs of slacks, and 3 pair of shoes. If every shirt can be worn with any pair of slacks and any pair of shoes, how many outfits does Tyler have? (1 point)
14
33
90
21
46. How many committees of 2 people are possible from a group of 11? (1 point)
165
22
13
55
47. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability that you will draw a red marble when you pick one out? (1 point)
5over20
15 over 20
7 over 20
2over5
48. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability you will draw a red or blue marble? (1 point)
5over20
15 over 20
7 over 20
3over5
49. What is the probability of not rolling a 5 on a die? (1 point)
one-fifth
one-sixth

one-fourth
50. What is the probability of rolling a 7 on a die? (1 point)
one-fifth
one-sixth
0
1

please i need help!

Answers

It can be deduced that the addition of -3 and 4 will be 1.

How to add the numbers

It can be deduced that the addition of -3 and 4 will be;

= -3 + 4

= 1

When the winning score in golf is the lowest number, the lowest number is -1.

The value of the expression -273 - (-576) will be:

= -273 - (-576)

= -273 + 576

= 303

Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:

= (2 - 19) + (-12)

= -17 - 12

= -29

The value of -2x = 22 will be:

-2x = 22

Divide both side by -2

-2x/-2 = 22/-2

x = -11

The value of 5 + 3x = -22 will be;

5 + 3x = -22

5x = - 22 - 5

3x = -27

x = -27/3 = -9

5(x + 3) = 35

5x + 15 = 35

5x = 35 - 15

5x = 20.

5x/5 = 20/5

x = 4

The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1

Learn more about addition on:

https://brainly.com/question/25421984

Emergency help please

Answers

Answer:

x = 91

Step-by-step explanation:

y = 130

The supplementary angle with y is 50

z = 321

360 - 321 = 39

Interior angles:

50 and 39 and x

To find x:

x + 50 + 39 = 180

x + 89 = 180

x = 180 - 89

x = 91

Which of the following is irrational?
WILL GIVE 20 POINTS!! PLEASE SOMEONE HELP ASAP

Answers

sqrt of 6. The first choice.

Answer:

√6 is the right answer. You're correct.

Step-by-step explanation:

√6=2.44948974278(irrational) because it has non repeating decimals

√900=39

√25=5

√0.16=0.4

You decide to buy a car with a base price of $11,499 at an interest rate of 6.2%. The car will be compounded monthly in those 5 years. What will your monthly payment be? Round the money to the nearest hundredth

Answers

Answer:

A = $15,696.72

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r/n)^(nt).  Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.

Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:

A = $11,499(1 + 0.0052)^60, or

A = $15,696.72

The monthly payment is $15,696.72/60, or $261.61.

Need help will give brainliest if you answer plz explain how I want to learn?

Answers

Answer:

16 degrees

Step-by-step explanation:

This is a right triangle with shorter leg 3 in and hypotenuse 11 in.  The 3 in side is opposite the angle theta.  Thus, by definition of the sine function,

sin theta = 3/11 = 0.273

Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees.  This rounds up to 16 degrees.

The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.

Answers

Answer:

is it to late now??

Step-by-step explanation:

Tiffany makes 35% commission on the websites he sells to businesses. If he sells $3500 worth of websites, what is his commission?

Answers

Answer:

1225

Step-by-step explanation:

.35 x 3500 = 1225 im late though

Done the probability that a randomly selected student will be a junior, given that the student owns a car.

Answers

D. 4/11

Since they say the student owns a car, that means the population is the first column only. That gives us a denominator of 22. Only 8 of the 22 students with cars are juniors. So there is an 8/22 chance...which reduces to 4/11.

Please let me know if you have questions.

Cuanto tiempo pasa de las 9:15 a las 10:30?

Answers

Answer:

1 hour and 15 minutes

Step-by-step explanation:

How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?


Answers

                                            .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .

A 7-pack of ice cream bars costs $3.36. What is the unit price?

Answers

Answer:

$0.48

Step-by-step explanation:

3.36/7=0.48

The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection

Answers

The numbers are 10 and 7

X = 10
Y= 7

X + Y = 17
X - Y = 3

The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.

We need to find those two numbers.

Let x and y are the two numbers.

Sum of two numbers is 17

x+y=17..(1)

Difference of two numbers is 3

x-y=3..(2)

From equation 1,

x=17-y

Now substitute this in equation 2.

17-y-y=3

17-2y=3

17-3=2y

14=2y

Divide both sides by 2

y=7

Now add y value in equation 1

x+7=17

Subtract 7 from both sides

x=10

Hence, the two numbers are 7 and 10.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.

Answers

Answer:

0

Step-by-step explanation:

From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = Opposite/ Adjacent

θ = 180°

Adjacent = 80m

Opposite = Height = x

Hence,

tan 180 = x/80

Cross Multiply

x = tan 180 × 80

x = 0m

The height of the flag = 0

A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit

Answers

Answer:

$5.98

Step-by-step explanation:

Unit price is the cost of a single ticket

41.84/7=5.98

Answer:

$5.99

Step-by-step explanation:

41.84/7= 5.98571429 = 5.99

Can somebody please help

Answers

Step-by-step explanation:

x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰

x = 60⁰...

Pleaseeeee helppppp will mark you as brainlist

Answers

Answer:

The length of the hypotenuse is 91.7

Step-by-step explanation:

To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39

Now we use pythagorean theorem, A squared + B squared = C squared.

83 squared = 6889

39 squared = 1521

Now add them up

6889 + 1521 =  8410

Now since it is C squared, we need to find the square root to get C.

The square root of 8410 = 91.7060521 or to round the tenth, 91.7

(っ◔◡◔)っ ♥ Hope It Helps ♥

The area of the surface of an office desk is 12 square feet. The desk is 2 feet wide. How long is it?

Answers

Answer:

Length is 6 feet

Step-by-step explanation:

l=A

w=12

2=6

hope you get it right

Help me pls!!! I will give brainleiest

Answers

C i beileve but dont put it down yet

Answer:

D

Step-by-step explanation:

this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-3x^2+239x-2268
y=−3x
2
+239x−2268

Answers

Answer:

The link is a virus don't search it

Step-by-step explanation:

Answer:

Step-by-step explanation:

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.

y=-3x^2+239x-2268

y=−3x  

2

+239x−2268

In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

Given

GH:

[tex]-6y - x = 2[/tex]

Required

Can EF be

[tex]4 = y - \frac{1}{6}x[/tex]

First, we determine the slope of GH

[tex]-6y - x = 2[/tex]

Solve for 6y

[tex]6y = -x - 2[/tex]

Solve for y

[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]

[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]

An equation has the form:

[tex]y =mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{1}{6}[/tex]

Next, determine the slope of EF

[tex]4 = y - \frac{1}{6}x[/tex]

Make y the subject

[tex]y = -\frac{1}{6}x + 4[/tex]

The slope is:

[tex]m = -\frac{1}{6}[/tex]

Compare the slopes of both lines.

[tex]m=m = -\frac{1}{6}[/tex]

Since they have the same slopes, then the equation of EF is possible

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