dj14ven
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?


12.7 units

16.9 units

24.0 units

33.9 units

Answers

Answer 1

The answer came from Rgwoot Ambitious

from another post in case anyone else needs it

What we know:

shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance

we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle  that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.


perimeter=2l+2w

 

What we need to find: PERIMETER

Using pythagorean method a² +b²=h² to find length:

From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.

a² +b²=h²

(9)²+(9)²=h²         substitution

81+81=h²            simplified

162=h²

√162=√h2           used radical properties

√162=h               length =√162


Using pythagorean method a² +b²=h² to find width:

From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.


a² +b²=h²

(3)²+(3)²=h²

9+9=h²

18=h²

√18=√h²

√18=h           this is the width=√18


Now we find perimeter:

p=2l+2w

p=2(√162)+2(√18)

p≈33.9


D. 33.9 units


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Related Questions

How to solve 45 45 90 triangle given hypotenuse?

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From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
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Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
 

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x is greater than or equal to 5

bob takes 4 apples and sarah eat 2 of his apples how many apples does bob have now ?

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4-2 = 2
He started with 4 and went down 2.  So he has 2 left.
This question was hard. But I figured It out So I learned 4-2=6-4=2 So I had got my answer by doing that.

Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis. What coordinates should she assign to the top-right vertex of the rectangle? Enter your answer in the boxes. ( , ) A rectangle is in the coordinate plane so that the bottom left vertex is at 0 comma 0, the top left vertex is on the positive side of the y-axis and is labeled 0 comma a, the top right vertex is in the first quadrant and is labeled question mark comma question mark, and the bottom right vertex is on the positive side of the x-axis.

Answers

(3a, a) The problem states that the longer side of the rectangle is placed on the x-axis. Additionally, the problem states that the coordinate (0,0) is the bottom left vertex. That tells you that you don't have any translation going on, so you don't have to add a constant to either the X, or Y value. Finally, the problem states that the upper left vertex is at coordinate (0,a). Because of that and the fact that the lower left coordinate is at (0,0), the length of the shorter side of the rectangle has to be a. And three times the length of "a" is "3a". So the upper right coordinate has to have an X value of "3a" and a Y value of "a", or in other words (3a,a).

Answer:

(3a,a)

Step-by-step explanation:

Find all points on the curve x^2-y^2=1 passes through

Answers

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Maryam earns a salary of $35,000 a year. Her benefits are equal in value to 35 percent of her salary. What is the value of Mayam's benefits?

Answers

35% of $35,000 is $12,250

As per linear equation, the value of Mayam's benefits is $12250.

What is a linear equation?

A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.

Given, Maryam earns a salary of $35,000 a year.

Her benefits are equal in value to 35 percent of her salary.

Therefore, the value of Mayam's benefits is

[tex]=[/tex] $[tex]\frac{(35000)(35)}{100}[/tex]

[tex]=[/tex] $12250

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A sample of n = 9 scores has a variance of s2 = 144. what is the standard deviation for this sample?​

Answers

The relationship between variance and standard deviation is simply:

s = standard deviation

s^2 = variance

 

s = sqrt (s^2)

 

Therefore calculating for s:

s = sqrt (144)

s = 12

 

So we get the standard deviation is simply 12 scores.

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

0.1313...

Answers

irrational, real numbers,

Is y=8x a linear function

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yeessssss y=8x is a linear function 

Yes, the function y=8x is a linear function because it has the form y = a + bx, where a is the y-intercept and b is the multiplicative slope factor, both of which are present in this equation with a=0 (implied) and b=8.

The question whether y=8x is a linear function can be answered by examining the form of the equation. A linear equation can generally be expressed as y = a + bx, where a is the y-intercept and b is the slope of the line. Since the equation y=8x fits this form, with a slope of 8 and a y-intercept of 0 (implied), it is indeed a linear function. A graph representing this equation would display a straight line with a slope of 8, confirming its linear nature. The equation y=xb is nonlinear when b is a power rather than a multiplicative parameter, demonstrating the contrast between linear and nonlinear functions. However, in our case, 8 is simply a multiplicative factor, which is characteristic of a linear function.

A parcel of air, with less than 100% relative humidity, that is rising because of heat energy derived from the surface is ______ stable. unstable. conditionally unstable.

Answers

A parcel of air, with less than 100% relative humidity, that is rising because of heat energy derived from the surface is unstable.

The daily rainfall during two week period in april weeks was:1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. what was the mode during this two week peroid

Answers

Answer:

0

Step-by-step explanation:

The mode of the data is 2 which occurs more frequently during these two weeks.

What is the mode?

Mode is the number that appears most frequently in the given set of data. The Median represents the middle value of the given data when arranged in a particular order.

The daily rainfall during two week period in april weeks given as;

1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches.

Calculation of the mode:

First, we Rearrange the data from the lowest to the highest value.

0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3

Since there is an even number of data, find the mode in the middle;

0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3

Therefore, the mode of the data is 2 which occurs more frequently during this two-week peroid.

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HELP ASAP!!!
Is the line through points P(-3, -2) and Q(2, 3) perpendicular to the line through points R(10, -1) and S(15, -6)? Explain.
a. No, their slopes are not opposite reciprocals.
b. No; their slopes are not equal.
c. Yes; their slopes have product -1.
d. Yes; their slopes are equal.

Answers

line through points P(-3, -2) and Q(2, 3) 
slope = (3 + 2)/(2 + 3) = 5/5 = 1

line through points R(10, -1) and S(15, -6)
slope = (-6 + 1)/(15 - 10) = -5/5 = -1

perpendicular lines, slope is opposite and reciprocals
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answer
c. Yes; their slopes have product -1.

It takes Lee's cat about 20 days to finish a five pound bag of cat food. Which is the best estimate of the number of pounds of cat food Lee's cat eats In one year

Answers

Lee's cat eats roughly 70 to 75 pounds of cat food a year.
Final answer:

Based on the daily consumption calculated from the given data, Lee's cat eats approximately 91.25 pounds of cat food in a year.

Explanation:

The question is asking for the estimated number of pounds of food that Lee's cat eats in one year. Lee's cat consumes a five-pound bag of food in 20 days. So, let's first determine how much he eats in 1 day. If 5 pounds is consumed in 20 days, then in 1 day, the cat eats 5/20, or 0.25 pounds.

Since there are approximately 365 days in a year, we multiply this daily consumption by 365. So, 0.25 pounds/day * 365 days/year = 91.25 pounds/year.

So, the best estimate for the amount of cat food that Lee's cat eats in one year would be approximately 91.25 pounds.

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The length of a rectangular room is 2 feet longer than twice the width. if the room's perimeter is 196 feet, what are the room's dimensions?

Answers

Using a system of equations, it is found that for the room's dimensions:

The width is of 32.33 feet.The length is of 66.67 feet.

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

The length of a rectangular room is 2 feet longer than twice the width, hence:

[tex]l = 2w + 2[/tex]

The room's perimeter is 196 feet, hence:

[tex]2l + 2w = 196[/tex]

From the second equation:

[tex]2(2w + 2) + 2w = 196[/tex]

[tex]6w = 194[/tex]

[tex]w = \frac{194}{6}[/tex]

[tex]w = 32.33[/tex]

Then:

[tex]l = 2w + 2 = 2(32.333) + 2 = 66.67[/tex]

The width is of 32.33 feet.The length is of 66.67 feet.

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The dimensions of the room are 32 feet by 66 feet, with a total area of 2112 square feet, which can be calculated for carpet replacement based on the room's perimeter.

To find the dimensions of a rectangular room where the length is 2 feet longer than twice the width and the perimeter is 196 feet, we first need to establish equations based on the given information. Let the width of the room be represented by w and the length be represented by l. From the problem, we have that l = 2w + 2. The perimeter P of a rectangle is given by P = 2l + 2w. Plugging in what we know, we can set up the equation:

196 = 2(2w + 2) + 2w

Solving this, we get:

196 = 4w + 4 + 2w196 = 6w + 4192 = 6ww = 32 feet

Now, we use the width to find the length:

l = 2(32) + 2l = 64 + 2l = 66 feet

So, the dimensions of the room are 32 feet by 66 feet. Since the student wants to determine the square footage for carpet replacement, we can calculate the area by multiplying the length and width:

Area = 32 feet × 66 feet = 2112 square feet

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Answers

X/6 = 20
This equation can also be written as X/6 = 20/1
If we cross multiply, we have:
X * 1 = 20 * 6
This is equivalent to: X = 120.
Therefore, X = 120.
The correct option is C.

I need help solving this problem

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to answer the question you will need another month

Why is it important to review test results? After you review the results of a quiz or a test, what should be your next steps? Give at least one example for good test results and at least one for poor test results.

Answers

It is important to review test results to ensure whether there are answers that are correct and weren't able to be check throuroughly and to check what are questions have you gone wrong and what are likely to be correct based on the results. After reviewing for the results, it is best to put in mind of all of the mistakes that you have gotten in a way as an applied learning of having to prevent those mistakes of having to occur again such as taking down notes of the wrong answers that you got and to review them. A good test result indicates of having to have a passing grade and poor test result is when you got low results such as below the passing grade.

△FEB≅△CNB.

What is length of BN¯¯¯¯¯¯ ?



Enter your answer in the box.

units

Answers

The Answer to this problem is BN=3.8 Units.


Final answer:

The statement △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB, meaning their corresponding sides and angles are equal. However, without additional information, such as the length of a congruent side in △FEB, we cannot determine the exact length of BN.

Explanation:

The given statement, △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB. In congruent triangles, corresponding sides and angles are equal.

However, to determine the exact length of BN, more information is needed. Examples of useful additional information would include the length of a corresponding side in △FEB, or the lengths of other sides in △CNB in relation to the length of BN, if these are also congruent sides.

Given the information provided in the question, it's not possible to provide an exact numeric value for the length of BN at this time. Please confirm if there are any additional details in your question or your course materials that could further clarify this issue.

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This involves Triangle Centroid. I really do not know how to set this up at all

Answers

segment FM is a "median", and therefore, whether or not it bisects the angle at F, it does bisect the EG segment, thus is called a median, it cuts it into two equal halves, therefore, EM = MG. 

[tex]\bf EM=MG\implies \cfrac{2x-9}{2}=\cfrac{1+x}{2}\implies 4x-18=2+2x \\\\\\ 2x=20\implies x=\cfrac{20}{2}\implies \boxed{x=10}\\\\ -------------------------------\\\\ EG=EM+MG\implies \cfrac{2(10)-9}{2}+\cfrac{1+(10)}{2}\implies \cfrac{11}{2}+\cfrac{11}{2} \\\\\\ \cfrac{22}{2}\implies 11[/tex]

Is this table represents function or not?

Answers

It is because you only have one output for every input

Answer: Yes

Step-by-step explanation: This table does represent a function. A function is where each input has exactly one output. Since none of the x-values repeat, this would represent a function.

Adrian has a square bedroom. The area of the room is 169 ft². How would you find the length of one side of his room?

Answers

To find the length of one sides of the square, you must find the square root of the area. Therefore, your answer would be 13.

Subtract 75% of 86 ft

Answers

75% of 86ft would be 64.5
Hope this helps. :)
-11 is the answer :) hope this helps

A number x is more than -6 and at most 8. Write it in a inequality

Answers

-6<x≤8 would be the inequality

The required inequality is -6<x<8

What is an inequality?

An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here: A number x is more than -6 and at most 8.

Clearly we can infer that the number lies between the interval (-6,8)

Thus we can construct the inequality for x as

-6<x<8 or x has 11 integral values

Hence, The required inequality is -6<x<8

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Translate this phrase into an algebraic expression

61 decreased by twice Vanessa's score

Use the variable v to represent Vanessa's score.

Answers

2v - 62

this is because v would represent Vanessa's actual score and and it would be two times more so that is why there is a 2 in front of that v 

A $100 bill, Two $20 bills,three $10 bills, and four $5 bills are placed in the bag. If a bill is chosen at random and you have to pay $15 to play the game. what is the expected value for the game?

Answers

Final answer:

The expected value for the game is $4, which means on average a player would expect to gain $4 before the entry fee. However, after subtracting the cost to play ($15), the net expected value is -$11, indicating a loss on average for each play.

Explanation:

To determine the expected value of the game mentioned, we first identify the possible outcomes and their corresponding probabilities. Next, we multiply each outcome value by its probability, and sum up these products. Finally, we deduct the cost of the game ($15) from the sum to find the expected net gain or loss.

Probability of picking a $5 bill = 4/10

The expected value (EV) calculation would be:

EV = (1/10 * $100) + (2/10 * $20) + (3/10 * $10) + (4/10 * $5) - $15

EV = ($10) + ($4) + ($3) + ($2) - $15

EV = $19 - $15

EV = $4

Therefore, the expected value for the game is $4. This means on average you would expect to gain $4 per game before considering the entry fee. Since you pay $15 to play, you need to subtract this from the $4 gain to obtain the net expected value, which would be -$11, indicating a loss in the long run.

Yuto left his house at 10 a. m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother? Riko will be behind Yuto when 0 ≤ t < minutes.

Answers

-- When Riko left the house, Yuto was 5.25 miles ahead of her.  

-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto 
every minute ... closing the gap at the rate of 0.1 mile per minute.

-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.

-- Riko is behind her brother when  0 ≤ t < 52.5 minutes .
 Riko left the house and Yuto was 5.25 miles ahead of her.  
From the time when she left the house, she gained 0.35 - 0.25 = 0.1 mile on Yuto for every minute at the rate of 0.1 mile per minute.
 If Riko can keep it up, she'll catch up to Yuto in 52.5 mins.
 5.25 / 0.1 = 52.5 minutes.
 Riko is behind her brother when 0 [tex] \leq [/tex] t < 52.5 minutes. 

Payton created a presentation for his parents showing how his grades have improved over the past six months. what is an alternative data display that would better convey the information?

Answers

I believe that aside from the bar graph, the line graph would actually best suits to convey this information. Because just like the bar graph, we can actually see the peaks of the grades. And through the peaks, we can easily compare the grades one by one.

 

Answer:

line graph

What is the solution of the system of equations?

Answers

When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:

We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns. 

Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.

i) consider equations 1 and 3:

-3x-4y-3z=-7
5x-2y+5z=9

multiply the second equation by -2:

-3x-4y-3z=-7
-10x+4y-10z=-18

adding the 2 equations we have -13x-13z=-25

ii) consider equations 2 and 3. Multiply the third equation by -3:

    2x-6y+2z=3
-15x+6y-15z=-27

adding the 2 equations we have -13x-13z=-24

So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.

Answer: the system has no solutions

Write the expression in complete factored form. q^2(u-9)+c (u-9)

Answers

q²(u-9) + c(u-9)
= (u-9)(q²+c)  ←  complete factored form
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