Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore the lengths of the triangle are:

[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units


Related Questions

can someone please help :) i suck at math.

Answers

Answer:

c) -11 1/2

Step-by-step explanation:

basically, you work backwards using the inverse operation.

start with -7, subtract 5.25 and you get -12.25, then add .75 (3/4) and you get -11.5 or -11 1/2

estimate 29.14 divided by 3.2071

Answers

Answer:

9.05 is my estimate

Step-by-step explanation:

The actual answer should be 9.08 etc....cause its a repeating decimal.

Solve for n
(40-2n)divided by 4=8?

Answers

Answer:

n = 4

Step-by-step explanation:

(40 - 2n) ÷ 4 = 8

10 - 0.5n = 8

-0.5n = 8 - 10

-0.5n = -2

n = 4

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

the correct answer is n=4

A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?

Answers

Answer:

[tex]\frac{23}{4}[/tex] feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet

                                                                             =   [tex]\frac{5}{2}[/tex] feet

The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet

                                                                              = [tex]\frac{13}{4}[/tex] feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]

                                        = [tex]\frac{10 + 13}{4}[/tex]

                                         = [tex]\frac{23}{4}[/tex]

The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.

Can someone help me it would be appreciated

Answers

Answer:

X^6 is the GCF

Step-by-step explanation:

Because what x^6 is will be more than x^4

what is the simplest form of 8y-4x=-56 ?​

Answers

About the only thing you can do with it is divide both sides by 4.

Then you have

2y - x = -14

Write the equation of the line in slope-intercept from (y=Mx+b) given:

Answers

Y=4/3x-2 is the answer

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

999÷128= plz help mee

Answers

Answer:

The answer is (7.8046875)

Step-by-step explanation:

Hope this helped

Solve the equation. Identify any extraneous solutions.
h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

Answers

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls ​

Answers

Answer:

I believe its 1,200 pounds.

Step-by-step explanation:

9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.

solve the question ​

Answers

Answer:

the answer is 402 the 2 lines just make the answer an even number and if its already even nothing happens

Step-by-step explanation:

Answer:

402

Step-by-step explanation:

because if it was negative in those lines, it would turn into a positive but since it is already positive, it stays that way. (if a negative is in there, change to positive/if positive in there, it stays the same)

Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12

Answers

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

Factor [tex]6r^2+14r-12[/tex]

[tex]6r2+14r-12[/tex]

[tex]=2(3r-2)(r+3)[/tex]

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

[tex]6r^2+14r-12[/tex]

Start by factoring out the greatest common factor, [tex]2[/tex]:

[tex]2(3r^2+7r-6)[/tex]

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

[tex]2(3r-2)(r+3)[/tex]

_

To check:

(Multiply First, Outside, Inner, Last):

[tex]2(3r^2+9r-2r-6)[/tex]

Combine like terms:

[tex]2(3r^2+7r-6)[/tex]

Distribute the [tex]2[/tex]:

[tex]6r^2+14r-12[/tex]

Pls halp,due today thank uu

Answers

2/3 ,y intercept= (0,-2) , y=-2

There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground? ​

Answers

it can be 6:7 12:14 and so on

PLEASE HELP QUICK!!!!!

Answers

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

If you are buying at item at a store for a price of $41, and there is a 5.3% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

$53.92

Step-by-step explanation:

x/100=5.3/41

Cross Multiply

41x=530

41x/41=530/41

x=12.92

41+12.92=53.92

Answer: $43.17

Step-by-step explanation:

%53 = 0.053

Percent formula:

a ( 1 + r )

41 (1 + 0.053)

41 (1.053)

43.173

round

#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x


Answers

O Linear
O Exponential

Answers

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

Frwinds? XD
Question uh....
65x9
UwU

Answers

Answer:

585

Step-by-step explanation:

65 times 9= 585

60 times 9=540

5 times 9=45

540 plus 45= 585

~~~Hope this helps ~~~ :)

Answer:

yws can we be frwinds?     `(*>﹏<*)′

Step-by-step explanation:

65x9 = 585

ε=ε=ε=┏(゜ロ゜)┛

7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

10=(-2)(-2)+b

10=4+b

10-4=b

6=b

a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP

Answers

Answer:

2.4

Step-by-step explanation:

50/21=2.380.....

          2.38

          2.4

Answer:

50/21 or 2 8/21 meters per second

Step-by-step explanation:

Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer

There are two other ways to write this fraction.

−15/29
List them in the space below.

Answers

Answer:

-30/58 & -45/87

Step-by-step explanation:

The first answer is just multiplying the original by 2.

The second one is being multiplied by 3.

The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))

Write an equation for the line that contains the points (-6,5) and (-12,-13).

Answers

Answer:

Step-by-step explanation:

you make y2-y1 over x2-x1 with the points so -13-5 over -12- -6 and that equals -18 over -6 simplified to 3

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

Answer:

y - 2 = 4(x - 1)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope:

Plug in the slope and the given point:

y - y1 = m(x - x1)

y - 2 = 4(x - 1)

So, the equation in point slope form is y - 2 = 4(x - 1)

determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.

1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2

thank you in Advance


Answers

1) P
2) P
3)N
4)N
5) P
Hope this helps

The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?

Answers

Answer:

The time the patient expected to survive after diagnosis is 29 years.

Step-by-step explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

[tex]\mu=15\\\sigma=5[/tex]

An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

[tex]X=\mu+a\sigma[/tex]

    [tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]

Thus, the time the patient expected to survive after diagnosis is 29 years.

Two less than seven times a number c is written as

Answers

Answer :

7c - 2

That's your answer .

(−45)(158)(73)(−1)
QUICK

Answers

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

multiplying will get you 519,030 because-45x158= -7,110 and 73x-1=-73 and when you multiply -7,110 and -73 you get positive 519,030 because a negative times a negative equals a positive

What is the slope of this graph?


4

−14

−4

14

Answers

The answer is -4 times


Answer:

-4

Step-by-step explanation:

i took the  quiz on  k12 :)

When a figure is increased to make a larger image, are the two figures congruent?

Answers

Answer:

No because Congruent means the same, but since it's a different size than the original then they aren't the same.

Step-by-step explanation:

Other Questions
A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grassseed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? In American cities, __________ played the largest role in allowing many residents to have the freedom to live farther away from their jobs.A.flight networksB.automobilesC.central business districtsD.streetcars (5x10^3) + (4.3x10^4)= A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job? A) 4B) 5C) 6D) 7 Choose the best statement of the octet rule from those listed below atoms lose 8 electrons to become valent atoms lose 8 electrons to become valent, atoms want 8 valence electrons atoms want 8 valence electrons atoms tend to react until they have 8 valence electrons atoms tend to react until they have 8 valence electrons, atoms tend to react in order to have the s2p4 configuration atoms tend to react in order to have the s2p4 configuration, atoms tend to react in order to gain 8 valence electrons atoms tend to react in order to gain 8 valence electrons As Mexican troops drew closer to the Alamo, the Texans ________________.a.retreated to smaller quarters within the mission chapelb.sent word to Gonzales for reinforcementsc.sent word to the United States requesting statehoodd.suffered a rebellion from within the fort can yall please answer this A common health myth is that people should drink at least eight glasses of water per day. While staying hydrated is important, why could this advice be inaccurate for different people? (Site 1) What is the slope of the line y = -2? What is the difference between explicit and implicit ideas? (5 points)Select one:a.Implicit ideas must be inferred, and explicit ideas are stated directly.b.Explicit ideas must be inferred, and implicit ideas are stated directly.c.Both implicit and explicit ideas help readers draw conclusions, but only implicit ideas are facts.d.Explicit ideas always appear in texts; implicit ideas sometimes appear in texts. Just the last question thank you!! Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He getspaid $30 per day for delivering newspapers. What is the least number of days he must work toget enough money for his holiday? If an object is moving with constant acceleration, its velocity must achange by varying amounts depending on its speed. balways decrease. cbe constant also. dchange by the same amount each second. A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent. $8.80 $10.07 $13.43 $14.39 Jayden created a cell model using a glass bottle with a cork. He said that the cork could be opened to eliminate waste material thats generated after digestion in the cell. A number of particles resembling organelles are in the bottle. Which organelles function will cause Jayden to open the cork to eliminate waste material?A. chloroplast B. cytoplasmC. nucleusD. lysosomeE. ribosome find the area of the equilateral triangle.if its perimeter is 24cm During the program, the hosts show tweets and videos submitted by viewers around the world about the topic. Choose (2) of these tweets/videos - How does colonization shape the world we live in?(1) with a negative view of colonization/imperialism and (1) with a positive view of colonization/imperialism - and summarize the viewer's question or opinion. * What is the temperature structure of the troposphere? What percent of the atmosphere is in the troposphere in height? In mass?help!!! A horse walked 30 minutes for 3.5 km and another 30 minutes for 2.5 km. What was the horse's speed in hours Anup bought 50 glassesfor Rs 1800out of which 4 were broken. Ifhe sold the rest of theglasses for Rs. 35 each. How much profit or loss percentage didhe bear?