Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?

Answers

Answer 1

Answer:

Image result for Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?

One would be to divide the rectangle into two triangles, then use the Pythagorean Theorem to find the distances between the points, and finally use Heron's formula to find the areas of the two triangles.

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2.

Step-by-step explanation:


Related Questions

PLEASE HELP!! MATHH
SUPER DESPERATE EVEN 1 ANSWER IS FINE

Answers

Answer:

4 x 3 x 2

Step-by-step explanation:

Hope that helps, I'm like 95% sure that's the answer.

Answer:

Question 1: C. 4 × 3 × 2 ×  [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]

Question 2: The volume is [tex]\frac{1}{12}[/tex] or 0.083333333

Question 3: The volume fo the solid figure is 234

Step-by-step explanation:

1. Volume of a rectangular prism = (length × width × height) cubic units

Length = 4 ×  [tex]\frac{1}{8}[/tex]

Width = 3 × [tex]\frac{1}{8}[/tex]

Height = 2 × [tex]\frac{1}{8}[/tex]

Volume = 4 ×  [tex]\frac{1}{8}[/tex] × 3 × [tex]\frac{1}{8}[/tex]  × 2 × [tex]\frac{1}{8}[/tex]

Volume = 4 × 3 × 2 ×  [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]

So the correct option is:

C. 4 × 3 × 2 ×  [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]  × [tex]\frac{1}{8}[/tex]

2.

We have to fold the shape into a rectangular prism, look at the picture

Volume of a right rectangular prism =  (length × width × height)

Length = [tex]\frac{1}{3}[/tex]

Width =  [tex]\frac{1}{3}[/tex]

Height = [tex]\frac{3}{4}[/tex]

Volume = [tex]\frac{1}{3}[/tex] ×  [tex]\frac{1}{3}[/tex]  ×  [tex]\frac{3}{4}[/tex]

Multiply [tex]\frac{1}{3}[/tex] times [tex]\frac{1}{3}[/tex] by multiplying numerator times numerator and denominator times denominator.

[tex]\dfrac{ 1 \times 1 }{ 3 \times 3 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]

Do the multiplications in the fraction [tex]\dfrac{ 1 \times 1 }{ 3 \times 3 }[/tex]

[tex]\dfrac{ 1 }{ 9 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]

Multiply [tex]\frac{1}{9}[/tex] times [tex]\frac{3}{4}[/tex] by multiplying numerator times numerator and denominator times denominator.

[tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]

Do the multiplications in the fraction [tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]

[tex]\frac{3}{36}[/tex]

Reduce the fraction [tex]\frac{3}{36}[/tex] to the lowest terms by extracting and canceling out 3

Fraction form: [tex]\frac{1}{12}[/tex]

or

Decimal form: 0.083333333

So the volume of the right rectangular prism is [tex]\frac{1}{12}[/tex]

3. Look at the picture with the solid figure labeled

We can think of this shape as two different prisms ( A and B)

Volume of A = 4.5 × 6 × 6.5 = 175.5

Volume of B = 3 × 3 × 6.5 = 58.5

Total volume of the whole figure = 175.5 + 58.5

175.5 + 58.5 = 234

So the volume of the solid figure is 234

Help !!!!!!!!!! How can I Select the expressions that are factored correctly.

Answers

Answer:

[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]

[tex]x^2-10x+25=(x-5)^2[/tex]

Step-by-step explanation:

[tex]x^2 - 26 = (x-6)^2[/tex]

[tex](x-6)(x-6)[/tex]

[tex]x^2-6x-6x+36[/tex]

[tex]x^2-12x+36[/tex] (wrong)

[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]

[tex](3x+2)(x+4)[/tex]

[tex]3x^2+12x+2x+8[/tex]

[tex]3x^2+14x+8[/tex] (true)

[tex]x^2-7x+10=(x+5)(x+2)[/tex]

[tex](x+5)(x+2)[/tex]

[tex]x^2+2x+5x+10[/tex]

[tex]x^2+7x+10[/tex] (wrong)

[tex]x^2-10x+25=(x-5)^2[/tex]

[tex](x-5)^2[/tex]

[tex](x-5)(x-5)[/tex]

[tex]x^2-5x-5x+25[/tex]

[tex]x^2-10x+25[/tex] (true)

Hope this helps!

What is the equation of the line that passes through the point (4,-7)(4,−7) and has a slope of 1/2?

Answers

Answer:

Add 22 Then eat caca

Step-by-step explanation:

Thats it

Dylan is recording the types of birds he sees while bird Dylan is recording the types of bird he sees wild bird watching in the park. On Day 1, he records seeing 16
different types of birds. On Day 2, his number drops by 25%. On Day 3, he records seeing 3 more types of birds
than on Day 2.
What was the percent increase from Day 2 to Day 3?
Enter your answer in the box.

Answers

Answer:

15%

Step-by-step explanation:

Ok so if you have to get rid of 25% of 16 than thats 12 because 4 quarters is 100 than you have to think how much does he have know which is 75% so three more types of birds adds 15% and 75 + 15= 90 and the increase was 15% so The answer is 15%

rewrite 2 11/12 as a fraction greater than 1

Answers

[tex] \tt 2 \dfrac{11}{12} [/tex]

[tex] \\ \\ [/tex]

[tex] \to\tt \dfrac{35}{12} [/tex]

The measure of Angle 1 is (3x - 75)°. Find the value of x.​

Answers

Answer:

∠1=90°-->(3x-75)°=90°-->3x=90+75-->3x=165-->x=165/3=55Answer.

help ;_;
find the cube root


³√64. ³√-216
[tex] - \times \frac{343}{100} } [/tex]

Answers

Step-by-step explanation:

³√64 = 4

therefore 4³ = 64.

³√-216 = -6

therefore -6³ = -216

If you bought a stock last year for a price of $120, and it has gone down 10% since
then, how much is the stock worth now, to the nearest cent?

Answers

Answer:

it is now at 108

Step-by-step explanation:

10% of 120 is 12 120-12=108

what are the length and width of a rectangular traffic sign if the length exceeds the width by 22 inches and the perimeter is 136 inches?

Answers

Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

help plss i need help

Answers

it’s b. you divide by 5 on both sides and at the end you’ll get x= 6

Error Analysis Allie says JKL ~ XYZ
What is Allie's error?

Answers

Similar triangles may or may not have equal measures

Allie's error is that Allie did not state the similarity theorem

How to determine Allie's error

The statement JKL ~ XYZ means that:

Triangles JKL and XYZ are similar triangles

From the complete question, we have the following highlights:

Angles J and X have equal measures of 55 degreesThe side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL

The above means that, both triangles are similar by SAS or SSS

In Allie's statement, the similarity theorem is not stated

Hence, Allie's error is that Allie did not state the similarity theorem

Read more about similar triangles at:

https://brainly.com/question/14285697

A candy company claims that 31% of the candies are orange. We randomly sample 100 candies. We wish to know the probability our sample is 29% orange candies or less. Round answers to 4 decimal places and answer numerically (0.31, not 31%)

Find the probability our sample is 29% orange candies or less P(x<0.29)

Answers

Using the normal distribution and the central limit theorem, it is found that:

P(x < 0.29) = 0.2981.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem:

31% of the candies are orange, hence p = 0.31.We randomly sample 100 candies, hence n = 100.

Then, the mean and the standard error are given by:

[tex]\mu = p = 0.31[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.31(0.69)}{100}} = 0.04625[/tex]

The probability our sample is 29% orange candies or less is the p-value of Z when X = 0.29, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.29 - 0.31}{0.04625}[/tex]

[tex]Z = -0.43[/tex]

[tex]Z = -0.43[/tex] has a p-value of 0.2981.

Hence:
P(x < 0.29) = 0.2981.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

1. Which three lengths could be the lengths
of the sides of a triangle?
A. 12 cm, 5 cm, 17 cm
B. 10 cm, 15 cm, 24 cm
C. 9cm, 22 cm, 11 cm
D. 21 cm, 7 cm, 6 cm

Answers

Answer:

B. 10cm, 15cm, 24cm

Step-by-step explanation:

The 2 shortest sides of a triangle added together must be longer than the longest side of the triangle.

10cm + 15cm > 24cm, so the answer is B.

I've been trying to solve my homework for the last one hour

Answers

Answer:

3+1+4+8+6 // 3+1+4+9+5 // 4+7+4+5+2

Step-by-step explanation:

Here is three combinations, i am not sure if you are supposed to use all of the numbers or not but this is what i found.

When adding 3 and -9, how do you know that the sum is negative?



Answers

Answer:

You know it is negative because you are adding a small number and a bigger negative number. At first number lines are helpful to visualize it.

Step-by-step explanation:

Maybe this will help:

Let's say you are borrowing money from a friend and need to pay them back. You own your friends $9, but you only have 3. So, you give them your $3. This leaves you owning $6.

3-9=-6

negative = owes money

A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of 30 feet find the volume of the building use 3.14 for π.

Answers

Answer:

Radius=50 ftπ=3.14Height=30 ftVolume=?

We know that,

[tex]\star \: \: \purple{Volume_{(cone)} =\pi {r}^{2} \frac{h}{3} }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times {(50)}^{2} \times \: \cancel\frac{30}{3} \: }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10} [/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =78500 }[/tex]

Thus,the third option is correct.

[tex]\star \: \: {\blue{DisneyPrincess29}}[/tex]

What is the correct justification for the first step in solving this
equation? 3(x - 4) + 1 = 12x *
-
O Addition Property
O Division Property
O Commutative Property
O Distributitive Property

Answers

Answer:

x=11/9

Step-by-step explanation:

ulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?

Answers

Answer:

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Step-by-step explanation:

Answer:

Garyyy!! super late but yea

Step-by-step explanation:

:)

On the first day it was posted online, a music video got 390 views. The number of
views that the video got each day increased by 30% per day. How many total views
did the video get over the course of the first 13 days, to the nearest whole number?

Answers

Answer:

The answer is 7212 views

Step-by-step explanation:

Given;A music video got 390 views.The number of views that the video got each day increased by 30% per day.To Find;Total views did the video get over the course of the first 13 days

So, For the first day the number of views is 390

Second Day

30% increased of total views

390 × 30 ÷ 100 = 11.7 = 12

390 + 12 = 402

Third Day

30% increased of total views

402 × 30 ÷ 100 = 120.6 = 121

402 + 121 = 523

Fourth Day

30% increased of total views

523 × 30 ÷ 100 = 156.9 = 157

523 + 157 = 680

Fifth Day

30% increased of total views

680 × 30 ÷ 100 = 204

680 + 204 = 884

Sixth Day

30% increased of total views

884 × 30 ÷ 100 = 265.2 = 265

884 + 265 = 1149

Seventh Day

30% increased of total views

1149 × 30 ÷ 100 = 344.7 = 345

1149 + 345 = 1494

Eight Day

30% increased of total views

1494 × 30 ÷ 100 = 448.2 = 448

1494 + 448 = 1942

Ninth Day

30% increased of total views

1942 × 30 ÷ 100 = 582.6 = 583

1942 + 583 = 2525

Tenth Day

30% increased of total views

2525 × 30 ÷ 100 = 757.5 = 758

2525 + 758 = 3283

Eleventh Day

30% increased of total views

3283 × 30 ÷ 100 = 984.9 = 985

3283 + 985 = 4268

Twelth Day

30% increased of total views

4268 × 30 ÷ 100 = 1280.4 = 1280

4268 + 1280 = 5548

Thirteenth Day

30% increased of total views

5548 × 30 ÷ 100 = 1664.4 = 1664

5548 + 1664 = 7212

Thus, Total views did the video get over the course of the first 13 days is 7212 Views.

 

-TheUnknownScientist 72

what is equivalent to (3x - 4)^4

a. (3x - 4)(3x - 4)(3x - 4)(3x - 4)
b. (3x + 4)(3x + 4)(3x - 4)(3x - 4)
c. x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4
d. 9x^2 - 24x + 16

Answers

The correct Answer should be D. 9x^2 - 24x + 16 hope this helps

Expand the following expression: 15(2+5x)

Answers

Answer:

30+75x

Step-by-step explanation:

15(2+5x)

15 multiple by 2 = 30
15 multiple by 5x = 75x
Answer is 30+75x

I need the answer step by step pls asap

Answers

Answer:

27

Step-by-step explanation:

[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]

Make everything in the form of exponet.

[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]

Use the rule.

[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]

[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]

[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]

Cancel out like Terms.

[tex] \frac{3 {}^{4} }{3} [/tex]

Use the property

[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]

So we have

[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]

[tex]3 {}^{3} = 27[/tex]

Answer: 3^3

(2^3 x 3^4 x 4)/(3 x 32)
= (2^3 x 3^4 x 2^2)/(2^5 x 3)
= 3^4/3
= 3^3

In circle C, r=32 units. What is the area of circle c

Answers

Answer:

≈3216.99088 OR 32π

Step-by-step explanation:

A=πr2=π·32≈3216.99088 OR 32π

What is the range for this set of data? 7, 15, 12 3 5 8 12.

Answers

The range of the data set is 12.

Answer:

its D

Step-by-step explanation:

Find the average rate of
change, from 20 to 60 in
the table below.
Х
20
40
60
80
100
у
15
35
65
105
155

Answers

Answer:

20

20, 30, 40, 50

I think this might be the answer

Solve for x. Explain.
Show your work in the space provided

Answers

Answer:

X=7

Step-by-step explanation:

Both are equal angles( the little 2 arrows prove that) so we set up the equation like this

75=11x-2

We need to isolate x to solve for it so we add 2 to both side since it's the opposite of subtraction.

our equation will then look like this

77=11x

last but not least, we divide 11 to both sides since it's the opposite of multiplication which 11 and X are doing

the answer is 7

WILL GIVE BRAINLIEST

CAN SOMEONE GIVE A EXPLAINATION ABOUT CLOSURE PROPERTY WITH A SIMPLE EXAMPLE THAT IS EASY TO UNDERSTAND

Answers

Explanation:

A set is "closed" for a particular operation if performing that operation on members of the set always gives a member of the set.

closed example

For example, the set {0, 1} is closed for multiplication:

  0 × 0 = 0

  0 × 1 = 0

  1 × 1 = 1 . . . all result values are members of the set

Performing multiplication on any two members of the set gives a member of the set.

__

not closed example

The same set {0, 1} is not closed for addition:

  0 +0 = 0

  0 +1 = 1

  1 +1 = 2 . . . not a member of the set

Performing addition on any two members of the set does not always give a member of the set.

_____

Additional comment

Sometimes you are asked to demonstrate closure of a particular set using a particular example. As we see with addition, above, some examples may seem to demonstrate closure, while another example may prove the set is not closed. In short, you can demonstrate that the set is closed for a particular operation on a particular example, but that does not demonstrate closure in general.

(This purple side is what will be graded for the 605 project when you submit it!)

Complete your project on this side!

For this activity, you will need two coins.
First, you will determine the theoretical probability of events.
Then, you will flip the coins 100 times and determine the experimental probability of the events.

Flip two coins 100 times, and record the results of each coin toss in a table like the one below:

Result
Frequency
Two Heads
28
Two Tails
30
1 Head, 1 Tail
42



complete below


Answer the following questions based on the data you gathered. You must show your work to receive credit.

1. What is the theoretical probability that a coin toss results in two heads showing?

2. What is the experimental probability that a coin toss results in two heads showing?


3. What is the theoretical probability that a coin toss results in two tails showing?

4. What is the experimental probability that a coin toss results in two tails showing?


5. What is the theoretical probability that a coin toss results in one head and one tail showing?


6. What is the experimental probability that a coin toss results in one head and one tail showing?


7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answers

1. The theoretical probability that a coin toss results in two heads showing is 25% :

The probability of a head showing the first time is 50%
The probability of getting a head twice is 50% x 50% = 25%

2. The experimental probability that a coin toss results in two heads showing is 28/100 (28%)

3. The theoretical probablity that a coin toss results in two tails showing is 25% ( 50% x 50% )

4. The experimental probability that a coin toss results in two tails showing is 30/100 (30%)

5. The theoretical probability that a coin toss results in one head and one tail showing is 25% (also 50% x 50%)

6. The experimental probability that a coin toss results in one head and one tail showing is 42/100 (42%)

7. The theoretical probabilities have a difference from experimental probabilities because theoretical probabilities are equal odds of happening, while experimental probabilities might be biased because we might get tails for example, 10 times in a row, which messed up the odds.

Hope this helps. somehow.

The cost of a truck is $42,500 but the dealership wants to mark up the price by 40. What is the selling price of the truck?

I NEED THIS WITHIN HE NEXT HOUR PLS GUYS

Answers

Answer:

$59,500

Step-by-step explanation:

Assuming you mean 40%:

Two ways:

$42,500 + ($42,500 x 0.4)

OR

$42,500 x 1.4

= $59,500

Solve and reduce to lowest terms: 6 x 3/8

PLEASE HELP FIVE MINUTES!! WILL GIVE BRANLEST

Answers

Answer:

18/8 or as a mixed number 2 ¹/4

Step-by-step explanation:

just times 6/1 by 3/8 which is 18 over 8 and simplify it into 2 ¹/4

Hii! Goodafternoon/morning!

Your question is asking how much is 3/8 + 3/8 + 3/8 is.

Normally, we would find a common denominator. But since they are all the same fraction, we don't need to.

First we need to figure out what 6×3 equals. That is 18.

We can't multiply 6×8.

So

We have to write the fraction has

18/8

But thats not simplified. So we need to turn this into a mixed number.

18/8 simplified is 2 2/8

We need to simplify that again.

2 2/8 simplified is 2 1/4.

So the answer is

2 and 1/4.

Brainliest??

-Nat

Other Questions
Solve for x. Explain. Show your work in the space provided write an essay about importance of english language. it should have to 3 pages I need help with this question please help A box in a shape of a cube with an edge length of 9 inches. Find the surface area of the box What are the natural division of Nepal?answer in short. Which physical feature is in the eastern part of South America?. Question 26: Answer each of the following questions clearly and concisely.1. Compare and discuss how cells store energy and release energy using ATP. Be specific! 2. Compare lactic acid fermentation and alcoholic fermentation by describing what pyruvic acid is changed into. Be sure to include what type of organism each one takes place in. What is pyruvic acid changed into? Organism:Alcoholic Fermentation Lactic Acid Fermentation 3. Name the three processes of aerobic cellular respiration. What is the total ATP produced from one glucose? 3 Processes of Cellular Respiration:4. Name the two stages of photosynthesis and list the starting molecule(s) and ending molecule(s) of each. Stages Starting Molecule(s) Product(s)5. What is the general chemical equation of photosynthesis? 6. When and why does our body use lactic acid fermentation? 7. Explain how the equations for photosynthesis and cellular respiration compare.Question 27: Critical ReadingRead these passages from the text and answer the questions that follow.FermentationAn important way of making ATP without oxygen is called fermentation. It involves glycolysis but not the other two stages of aerobic respiration. Many bacteria and yeasts carry out fermentation. People use these organisms to make yogurt, bread, wine, and biofuels. Human muscle cells also use fermentation. This occurs when muscle cells cannot get oxygen fast enough to meet their energy needs through aerobic respiration. There are two types of fermentation: lactic acid fermentation and alcoholic fermentation. Both types are described below.Lactic Acid FermentationIn lactic acid fermentation, pyruvic acid from glycolysis changes to lactic acid. In the process, NAD+ forms from NADH. NAD+, in turn, lets glycolysis continue. This results in additional molecules of ATP. This type of fermentation is carried out by the bacteria in yogurt. It is also used by your muscle cells when you work them hard and fast.Did you ever run a race and notice that your muscles feel tired and sore afterward? This is because your muscle cells use lactic acid fermentation for energy. This causes lactic acid to build up in the muscles. It is the buildup of lactic acid that makes the muscles feel tired and sore.Alcoholic FermentationIn alcoholic fermentation, pyruvic acid changes to alcohol and carbon dioxide. NAD+ also forms from NADH, allowing glycolysis to continue making ATP. This type of fermentation is carried out by yeasts and some bacteria. It is used to make bread, wine, and biofuels.Alcoholic fermentation produces ethanol and NAD+. The NAD+ allows glycolysis to continue making ATP.Have your parents ever put corn in the gas tank of their car? They did if they used gas-containing ethanol. Ethanol is produced by the alcoholic fermentation of glucose in corn or other plants. This type of fermentation also explains why bread dough rises. Yeasts in bread dough use alcoholic fermentation and produce carbon dioxide gas. The gas forms bubbles in the dough, which causes the dough to expand. The bubbles also leave small holes in the bread after it bakes, making the bread light and fluffy.Questions1. What is fermentation?2. Why is NAD+ so important in fermentation?3. Both lactic acid fermentation and alcoholic fermentation begin with the same molecule. What is that molecule and where did it come from?4. Why is bread light and fluffy?5. Why do your muscles get sore after intense activity? Dennis has just made the final monthly payment necessary for paying off his car financing. When he purchased the car three years ago, it had a list price of $23,878. Dennis traded in his good-condition 2001 Honda Odyssey and financed the rest of the cost at an interest rate of 11.82%, compounded monthly. The dealer gave Dennis 85% of the trade-in value of his car, listed below. Dennis was also responsible for paying 9.05% sales tax, a $1,474 vehicle registration fee, and a $225 documentation fee. Required:All told, how much did Dennis pay in interest? Determining the brain-activation patterns associated with a person's ability to solve crossword puzzles is an aspect of What are some advantages and disadvantages of being a social organism (include at least 4) The battle summary of Percy Jackson/ Light thief chapter 4 1. Which three lengths could be the lengthsof the sides of a triangle?A. 12 cm, 5 cm, 17 cmB. 10 cm, 15 cm, 24 cmC. 9cm, 22 cm, 11 cmD. 21 cm, 7 cm, 6 cm When a firm has many potential competitors and tries to develop a marketing strategy to differentiate its products from the competitors' products, a(n) what do you mean by good governance and what are its elements? I NEED HELP ASAP PLEASE!!! Need help with examples of what to say. Read the Instrucciones in the picture. This is from Unit 19. Will Mark Brainliest. WWDirections: Predict the products for each of the following reactions IN WORDS ONLY.1. Calcium + Magnesium sulfide 2. Sodium + Silver chloride 3. Iron(II) sulfide + potassium 4. Barium + Aluminum nitrate 5. Potassium iodide + chlorine 6. Zinc + Lead(IV) chloride 7. Silver + sulfuric acid 8. Barium+water 9. Tin + hydrochloric acid 10.Gallium bromide + fluorine 11.Water + potassium Determine the sum of the measures of the indicated angles. In the graph below, A represents Ashley's house, B represents Bridget's house, and C represents Carly's house. Whos house does Ashley live closest to, and by how much? Please urgent7. The average force applied by the engine of a 1200 kg car is 900 N. If the car isinitially traveling at 15 m/s, how fast will it be traveling 300 m farther down the road?