Triangle CDE, with vertices C(-8,-7), D(-2,-8) and E(-5,-2), is drawn on the coordinate grid below.
What is the area, in square units, of triangle CDE?

Triangle CDE, With Vertices C(-8,-7), D(-2,-8) And E(-5,-2), Is Drawn On The Coordinate Grid Below.What

Answers

Answer 1

Answer:

Area = 24.75 sqr units

Step-by-step explanation:

You will need these formulas:

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

Midpoint = [tex](\frac{x_{1} + y_{1} }{2} , \frac{x_{2} + y_{2} }{2})[/tex]

Area = b x h

Let us treat CD as the base. Find the length of the base with the distance formula. Use the coordinates for points C & D.

[tex]d = \sqrt{(-2 - (-8))^2 + (-8-(-7))^2}[/tex]

[tex]d = \sqrt{37}[/tex]

The base is [tex]\sqrt{37}[/tex].

The height is the distance between point E and the midpoint of line CD.

Midpoint of CD = [tex](\frac{-8 + (-7) }{2} , \frac{-2 + (-8) }{2})[/tex] = ([tex]-\frac{15}{2}[/tex], [tex]-5[/tex])

Use the distance formula to find the height.

[tex]d = \sqrt{(-5 - (-\frac{15}{2} ))^2 + (-2-(-5))^2}[/tex]

[tex]d = \frac{\sqrt{61} }{2}[/tex]

Find the area with the two distances that were found.

Area = [tex](\sqrt{37}) (\frac{\sqrt{61} }{2})[/tex]

Area = [tex]\frac{\sqrt{2257} }{2}[/tex]

Area = 24.75 sqr units


Related Questions

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 8 days. Part (a) Part (b) + Part (c) Part (d) 66% of all trials of this type are completed within how many days? In other words, find the 66th percentile. (Round your answer to two decimal places.)

Answers

Let X be the duration of a particular type of criminal trial. We know that the mean of X is μ = 24 days and the standard deviation of X is σ = 8 days.

We are asked to find the 66th percentile of X, which is the value x such that P(X ≤ x) = 0.66. Using the standard normal distribution, we have Z = (X - μ) / σ ~ N(0, 1).Thus, we can write: P(X ≤ x) = P(Z ≤ (x - μ) / σ) = 0.66We need to find the value of x that satisfies this equation. Using a standard normal distribution table or calculator, we can find that the corresponding z-score is approximately 0.43.

Thus, we have:0.43 = (x - μ) / σ0.43 * 8 = x - 24x ≈ 27.44Therefore, the 66th percentile of the duration of a particular type of criminal trial is 27.44 days (rounded to two decimal places).Part (a): The 66% of all trials of this type are completed within 27.44 days (rounded to two decimal places).

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I added the question and the example for reference. Please help! whoever is correct i will give brainliest!

Answers

Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

YO PLEASE HELPPPPPPPPPPPPPPP

Answers

Answer:

the second, and fourth one's are triangles, and the 1st and 2nd are not

Step-by-step explanation:

We know that the angles in a triangle add up to 180 degrees. So we need to find which angles add up to 180 degrees. We have:

56+34+42=132

That means the first one can't be a measures of a triangle.

75+55+50=180

Second one is a triangle.

35+32+23=90

Third isn't a triangle

124+64+16=180

So all in all, the second, and fourth one's are triangles, and the 1st and 2nd are not



What is the length of cloth needed to make 24 shirts if each shirt is made from .75 yards of material?
18 yds.
B
23.25 yds.
с
32 yds.
D
51 yds

Answers

Answer:

18

Step-by-step explanation:

24*0.74 = 18

The correct answer is A. 18 yds.

Since once shirt is made from 0.75 yards, we multiply it by the amount of shirts needed.

So we have:

A recent stocktake measured the price of BBQs at a large hardware store. From the stocktake, it was determined that the price was normally distributed with a mean of 500 dollars and a standard deviation of 50 dollars. Twenty per cent of the BBQs would cost more than what price? Select from the answers below.

575.5

542

526

459

Answers

The price at which twenty percent of the BBQs would cost more is $542 and it follows a normal distribution.

In this case, we are given that the price of BBQs at a large hardware store follows a normal distribution with a mean of $500 and a standard deviation of $50. We want to find the price at which twenty percent of the BBQs would cost more.

To solve this problem, we need to find the value, denoted as x, for which 20% of the BBQs are priced higher. This can be done by finding the z-score corresponding to the 20th percentile and then converting it back to the original scale.

The z-score is calculated using the formula:

z = (x - μ) / σ,

where μ is the mean and σ is the standard deviation.

To find the z-score corresponding to the 20th percentile, we can use a standard normal distribution table or a statistical calculator. The z-score corresponding to the 20th percentile is approximately -0.84.

Now we can use the z-score to find the corresponding value in the original scale:

-0.84 = (x - 500) / 50.

Solving for x, we get:

-0.84 * 50 = x - 500,

-42 = x - 500,

x = 500 - 42,

x = 458.

So, twenty percent of the BBQs would cost more than $458. However, since we need to choose from the given options, the closest price to $458 is $459.

Therefore, the answer is $459.

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Which number line shows - graphed?

Answers

Answer:

The second one down is the answer

Step-by-step explanation:

Will Mark Brainliest To First Correct Answer.
Properties of Kites on IXL. I Only need to get one more correct and dont want to get reset...

Answers

Step-by-step explanation:

[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]

Mother put 22 apples in each basket. How many baskets did she use for 390 apples?

Answers

Answer:

To find the no. of baskets used to put 390 apples we have to divide 390/22  which is 17.7272727273,

so to put 390 apples we need approximately 18 baskets.

hope this answer helps you...

answer: 17.72
solution: probably 17 bc there’s not enough for 18

Show all steps please!

Suppose you are told that 3.59% of Wendigos are less than 273cm tall while only 4.01% are taller than 326.25 cm tall. Find the mean and standard deviation of the heights of Wendigos.

Answers

The mean of the heights of Wendigos ≈ 302.523 cm, and the standard deviation ≈ 14.165 cm.

To obtain the mean and standard deviation of the heights of Wendigos, we can use the information given about the percentiles.

Let's denote the mean as μ and the standard deviation as σ.

Step 1: Finding the Z-scores

First, we need to find the Z-scores corresponding to the given percentiles.

For the lower percentile:

Z = (X - μ) / σ = -1.880

For the upper percentile:

Z = (X - μ) / σ = 1.880

Step 2: Finding the corresponding values using Z-scores

Next, we need to find the values corresponding to the Z-scores using a standard normal distribution table or a calculator.

For the lower percentile:

Z = -1.880 corresponds to a cumulative probability of 0.0359

For the upper percentile:

Z = 1.880 corresponds to a cumulative probability of 0.9601

Step 3: Calculating the values

Using the cumulative probabilities obtained, we can find the corresponding values.

For the lower percentile:

X = Z * σ + μ

273 = -1.880 * σ + μ

For the upper percentile:

X = Z * σ + μ

326.25 = 1.880 * σ + μ

Step 4: Solving the equations

We now have a system of equations with two unknowns (μ and σ).

273 = -1.880 * σ + μ   (Equation 1)

326.25 = 1.880 * σ + μ   (Equation 2)

We can solve this system of equations to find the values of μ and σ.

Subtracting Equation 1 from Equation 2, we get:

326.25 - 273 = 1.880 * σ + μ - (-1.880 * σ + μ)

53.25 = 3.760 * σ

Dividing both sides by 3.760, we get:

σ ≈ 14.165

Substituting this value of σ into Equation 1, we can solve for μ:

273 = -1.880 * 14.165 + μ

273 + 1.880 * 14.165 = μ

μ ≈ 302.523

Therefore, mean is approximately 302.523 cm, and the standard deviation is approximately 14.165 cm.

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Your parents gave you $0.35 on Sunday and then gave you twice as much money on Monday as they did on Sunday. On Tuesday, they gave you twice as much money as they gave you monday. The pattern continued for a week. How much money did your parents give you on Saturday??

Answers

Answer:

$22.40 im pretty sure its right

Step-by-step explanation:

sorry if im late and mark me brainliest if im right

A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches.

Which formula represents the correct way to calculate the volume of the cake?

O V = (4)(5)

O V = r(4)(5)

O V = $(5) (4)

O V = $(4)?(5)

Answers

Answer:

the formula represent the correct way is  π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is  π(4)^2 (5)

Answer: the answer is D.

Step-by-step explanation:

Each day Mrs. Yoder assigns 15 addition and 12 multiplication problems as homework. What is the total number of addition and multiplication problems assigned after 5 days?

Answers

Answer:

135

Step-by-step explanation:

A woman bought a bag of rice 5700 naira and in 3 weeks later, she could only buy 2/4 of the bags for 5700 naira. Find the percentage?

Answers

Answer: 100% increase

Step-by-step explanation:

You need the find the cost per bag in those weeks.

Three weeks ago, she could buy a bag for N5,700.

Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:

= 5,700 ÷ 2/4

= N11,400

The percentage increase is:

= (11,400 - 5,700) / 5,700

= 100%

i need help with this...

Answers

the answer is 60 :) good luckStep-by-step explanation:

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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold a maximum of 110 people. The drama club must make at least $570 from ticket sales to cover the show's costs. Also, they must sell at least 20 student tickets and a maximum of 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

hgfxjdt

Step-by-step explanation:

One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?

Answers

Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

If there is 0.25 probability that a child in New York gets the flu and a 0.30 probability that a child in Los Angeles gets the flu, what is the probability that both will get the flu?If there is 0.25 probability that a child in New York gets the file and a 0.30 probability that a child in Los Angeles gets the flu, what is the probability that both will get the flu? O 0.075 O 0.275 O 0.25 O 0.55

Answers

Answer:

(.25)(.30) = .075 probability that both children will get the flu

The probability that both a youngster in New York and a kid in Los Angeles will get this season's virus can be determined by duplicating the singular probabilities. Consequently, the likelihood that both will get influenza is 0.075.

To find the probability of the two occasions happening, we duplicate the probabilities of every occasion. Considering that the probability of a kid in New York getting this season's virus is 0.25 (or 25%) and the probability of a youngster in Los Angeles getting influenza is 0.30 (or 30%), we multiply these probabilities: 0.25 * 0.30 = 0.075. This implies there is a 0.075 probability, or 7.5%, that both a youngster in New York and a kid in Los Angeles will get influenza.

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If the sin 90º = 1, then which statement is true? ​

Answers

Answer:

cos 0° = 1, because the cosine and sine are complements

Step-by-step explanation:

Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)

So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1

SHOW WORK PLEASE! I WILL GIVE YOU BRAINLIEST IF YOU SHOW! DONT USE LINKS PLEASE!!!
A single number cube is rolled twice and the two numbers are added.


PART A:

How can you determine the total number of possible outcomes

Answers

Answer:

well if you where talking about the dice the awnser is 6 and if you are tlking about the shirts then you can do 3 times 3 i thik is the right awnser

Step-by-step explanation:

1. a dice is a cube a cube has 6 sides a single number dice is a dice that only has numbers that are by themselves so the awnser can only be on the dice 6 to 9 so now we know that it is 6 now 6 times 2 is 12 because it got rolled twice

2.

y−3=5(x−2) what is the slope?

Answers

Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

What is the distance between two points located at (−6, 2) and (−6, 8) on a coordinate plane?

A 4 units
B 6 units
C 10 units
D 12 units

Answers

Answer:

6 units

Step-by-step explanation:

Answer:

6 units (B)

Step-by-step explanation:

8 - 2 = 6

Can someone help please

Answers

Answer:

M=13

Step-by-step explanation:

Take the average of the two numbers:

(0+26)/2=13

13
sana makatulong
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In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.

Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

Answer: 1.

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

2.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

3.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

4.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Step-by-step explanation:

use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (round your answers to three decimal places.) y = 1/x

Answers

The given function is y = 1/x. We need to use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width).

Given Function: y = 1/x Number of Subintervals: 6Width of Subinterval: (b-a)/n = (5-1)/6 = 4/6 = 2/3For Lower Sum, we take the minimum value of each subinterval and sum them up.

Lower Sum: ∑ i=1^n f(x_i*)Δx=∑ i=1^n f(a+iΔx)ΔxNow,

we calculate the Lower Sum: ∑ i=1^6 f(x_i*)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3(i+1))=0.903

For Upper Sum, we take the maximum value of each subinterval and sum them up.

Upper Sum: ∑ i=1^n f(x_i**)Δx=∑ i=1^n f(a+(i-1)Δx)ΔxNow,

we calculate the Upper Sum: ∑ i=1^6 f(x_i**)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3i)=1.361

Hence, the Lower Sum of the given function is 0.903 and the Upper Sum is 1.361.

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If the quadrilateral below is a trapezoid, find: x=

Answers

Answer:

x=4

Step-by-step explanation:

Consecutive sides in a trapezoid are supplementry, which means they add up to 180. So, your equation is 14x-15+139=180

14x+124=180 (first make the numbers as clean as you can on both sides)

14x=56 (move all of the numbers to one side, so subtract 124 from both sides)

x=4  (simplify to get your answer, so divide by 14)

(hope this helps :P)

What are the coordinates of the vertex of the parabola described by the equation below? y = -5(x + 2)^2 + 7
A. (2, -7) O B. (-7,-2) O C. (7,2) O D. (-2,7)​

Answers

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

How to determine the location of the vertex of the parabola by algebraic means

The vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:

y - k = a · (x - h)²     (1)

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

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Alicia bought a new game that was 15% off. The discount took 4.65. What was the original price of the shirt?

Answers

Answer:

If 31 is a option I would pick it.

Step-by-step explanation:

The problem we are solving is:

15% of ____ is 4.65.

This means that 0.15 x ? = 4.65

So ? = 4.65 / 0.15

Therefore ? = 31.

So the original number is 31.

find the radius of the congruent circles. Thanks and hope you have a good rest of your day!!

Answers

Answer:

the radius is 10 since 10 plus ten is 20

Which function matches the table?

Answers

Answer:

B. f(x) =3

Step-by-step explanation:

sbwveivdebeudh

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True or false? Lymph vessels pick up a little bit of fluid that leaves your blood vessels every time you heart pumps. Unequal project lives Aa Aa Allied Biscuit Co. has to choose between two mutually exclusive projects. If it chooses project A, Allied Biscuit Co. will have the opportunity to make a similar investment in three years. However, if it chooses project B, it l not have the opportunity to make a second investment. The following table lists the cash flows for these projects. If the firm uses the replacement chain (common life) approach, what will be the difference between the net present value (NPV) of project A and project B, assuming that both projects have a weighted average cost of capital of 11%? 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