O perímetro de um campo retangular é de 80 metros e sua area é de 320 metros quadrados. Encontre as dimensões do campo, corrija o décimo de metro mais próximo.

Answers

Answer 1

Answer:

Comprimento: 28.9 m; Largura: 11.1 m

Step-by-step explanation:

P = 2(C + L) = 80

A = CL = 320

2(C + L) = 80

CL = 320

C + L = 40

CL = 320

C = 40 - L

CL = 320

(40 - L)L = 320

40L - L^2 = 320

L^2 - 40L + 320 = 0

aL^2 + bL + c = 0

[tex] L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{320}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{64 \times 5}}{2} [/tex]

[tex] L = \dfrac{40 \pm 8\sqrt{5}}{2} [/tex]

[tex] L = 20 \pm 4\sqrt{5} [/tex]

[tex] L \approx 28.9 [/tex] or [tex] L \approx 11.1 [/tex]

L = 28.9

C = 40 - L = 40 - 28.9 = 11.1

Answer: Comprimento: 28.9 m; Largura: 11.1 m


Related Questions

For one month, Terry recorded the time at which her school bus arrived. She organized her results in a frequency table. Find the experimental probability that the bus will arrive between 8:20 and 8:24.

Answers

Answer:

Experimental Probability is found:

P = 11/24

Step-by-step explanation:

Experimental Probability can be defined as the ration of the number of times (frequency) a desirable event has occurred, to the Total number of time (total frequency) the activity has been performed.

Probability = P = Frequency of an event / Total Frequency

To find the total frequency, we add all three of the given frequencies:

Total Frequency = 10 + 11 + 3

Total Frequency = 24

Frequency of the event (times bus arrived between 8:20 to 8:24) = 11

So, experimental probabilty is found as:

P = 11/24

Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME

Answers

Answer:

Based on the given information in the problem, 18 is found to be 75% of 24.

Step-by-step explanation:

In order to solve this problem, we must first know what we are being asked to do. In the problem, we are asked to find what percent of 24 is 18. We can find this percentage by dividing. We will divide 24 by 18.

18 ÷ 24 = 0.75

Now, we multiply this number by 100 to get the percent.

0.75 × 100 = 75

So, 18 is 75% of 24.

Answer:

the correct answer would be 75%

find the x-intercepts for the parabola defined by this equation

Answers

Answer:

Your x-intercepts are (1, 0) and (5, 0)

Step-by-step explanation:

Factor out the expression:

[tex]y =x^{2} -6x +5[/tex] factors out to [tex]y = (x-1) * (x-5)[/tex]

Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).

Answer:

The coordinates are (5 ,0) and (1 ,0)

Answer is given below with explanations.

Step-by-step explanation:

[tex]to \: find \: the \: x \: intercepts \: of \: the \: parabola \: \\ defined \: by \: {x}^{2} - 6x + 5 = y \\ let \: y = 0 \\ then \\ {x}^{2} - 6x + 5 =0 \\ by \: factorization \\ (x - 5)(x - 1) = 0 \\ x - 5 = 0 \: \: (or )\: x - 1 = 0 \\ x = 5 \: \: ( or) \: x = 1[/tex]

We want ti express the intercepts as two ordered pairs (y = 0)

Then the coordinates are (5 ,0) and (1 ,0)

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

help me with the right answer

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

9x - y = 26  ---------------(I)

9x + y = 28 ---------------(II)

9x - y = 26

9x = 26 + y

Substitute 9x = 26 + y in equation (II)

26 + y + y = 28               {add like terms}

26 + 2y = 28             {subtract 26 from both sides}

         2y = 28 - 26

        2y = 2    {divide both sides by 2}

           y = 2/2

y = 1

Substitute y =1 in equation (I)

9x - 1 = 26

9x = 26 + 1

9x = 27

x = 27/9

x = 3

x = 3

y = 1

Answer:

Brainliest!!!

Step-by-step explanation:

See picture

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)

Answers

Answer:

P (X≤1) = 0.000

Step-by-step explanation:

Data given:

p = 79% = 0.79

q = 1 - 0.79 = 0.21

n = 16

P (no more than 1 in 16 adults) = P (X≤1)

P (X≤1) = P (X=0) + P (X=1)

We can find the probability by using binomial functions:

[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]

P(X=0):

P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶

Use calculator to solve:

P(X=0) = 0.000000000798

P(X=1):

P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵

Use calculator to solve:

P(X=1) = 0.000000034506

P(X≤1)

P (X≤1) = P (X=0) + P (X=1)

P (X≤1) = 0.000000000798 + 0.000000034506

P (X≤1) = 0.00000003530

P (X≤1) = 0.000

As 1 is a very low number, its probability is very small

c) A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.
help!!​

Answers

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

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[tex]\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } [/tex]

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[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

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[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

[tex]s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20[/tex]

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

[tex]s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} [/tex]

since the cost price of bag doesn't change and equating 1 and 2 we get

[tex]20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600[/tex]

hence ur answer is rupees 600

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[tex]\bf\Large\red{ THANKS \: FOR \: YOUR}[/tex]

[tex]\bf\Large\red{ QUESTION \: HOPE \: IT } [/tex]

[tex]\bf\Large\red{ HELPS }[/tex]

[tex]\Large\mathcal\green{FOLLOW \: ME} [/tex]

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WILL MARK BRAINLIEST! Solve number 6.

Answers

Answer:

Complementary angles are angles that add up to 90°. Supplementary angles add up to 180°.

Therefore, it's really easy to simply subtract the values that are less than 90 from 90 to receive the complement for those angles, but if it is above 90, subtract the number from 180. Therefore, your answers are as follows:

1. 54° and 144°

Complement: 90 - 36 = 54

Supplement: 180 - 36 = 144

2. 85° and 175°

Complement: 90 - 5 = 85

Supplement: 180 - 5 = 175

3. 20° and 110°

Complement: 90 - 70 = 20

Supplement: 180 - 70 = 110

4. 61° and 151°

Complement: 90 - 29 = 61

Supplement: 180 - 29 = 151

5. 40.8° and 130.8°

Complement: 90 - 49.2 = 40.8

Supplement: 180 - 49.2 = 130.8

6. 12°

Complement: 90 - 168 = -78 (negative angles do not work)

Supplement: 180 - 168 = 12

7. 79° and 169°

Complement: 90 - 11 = 79

Supplement: 180 - 11 = 169

8. 90 - 2x and 180 - 2x

Complement: 2x + (something) = 90 → 90 - 2x

Supplement: 180 - 2x

Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 5)2 = 36 B. (x − 10)2 = 21 C. (x − 10)2 = 36 D. (x − 5)2 = 21

Answers

Answer:

A. (x - 5)² = 36

Step-by-step explanation:

Step 1: Isolate x

x² - 10x = 11

Step 2: Complete the Square

x² - 10x + 25 = 11 + 25

(x - 5)² = 36

And we have our answer!

For what values (cases) of the variables the expression does not exist: a/2x−4

Answers

Answer:

x=2

Step-by-step explanation:

Given the expression: [tex]\dfrac{a}{2x-4}[/tex]

The expression is undefined or "does not exist" when the value of the denominator equals zero.

Therefore, set the denominator of the function equals to zero to find the values at which it does not exist.

2x-4=0

2x=4

x=2

Therefore, at x=2, the function is undefined.

what is the mean? i need the answer immediately.

Answers

Answer:

Mean = 203.167

Step-by-step explanation:

Mean = [tex]\frac{sum of observations}{total no. of observations}[/tex]

Mean = [tex]\frac{153+230+354+38+180+264}{6}[/tex]

Mean = [tex]\frac{1219}{6}[/tex]

Mean = 203.167

I really need plz help ASAP the right answer will be marked of brainlest

Answers

Answer:

40

Step-by-step explanation:

5*4*2

Answer:

40

Step-by-step explanation:

5*2*4

5 units from each point * 4 points * 2

analyze the diagram below and answer the question that follows.

Answers

Answer:

Option (3)

Step-by-step explanation:

To prove ΔMTD ≅ ΔLGS,

               Statements                      Reasons

1). Segment TM ≅ GL               1). Given

2). Segment MD ≅ LS             2). Given

3). Segment TD ≅ GS             3). Additional information required

4). ΔMTD ≅ ΔLGS                   4). SSS property

For SSS property corresponding sides of the given triangles must be congruent.

Therefore, additional information required is segment GS ≅ TD

Option (3). will be the answer.

PLSSSSSSSSSSSSSSS HELP>>> Solve the following inequality. Write your answer as one inequality with no spaces. -12 < 3x-1 < 3

Answers

Answer:

-11/3<x<4/3

Step-by-step explanation:

I attached the explanation:

(x^4)^2 perform the indicated operation

Answers

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.

4 * 2 = 8

[tex]x^8[/tex]

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

[tex](x^4)^2[/tex]

Apply the law of exponents, where:

[tex](x^a)^b=x^{ab}[/tex]

[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]

9
Question 4 (5 points)
Evaluate the expression: 230 - 151 + 180 + (43 - 12).
A) 46
OB) -44
C) 18
D) 57​

Answers

Answer:

230 - 151 + 180 + (43 - 12) = 290

Step-by-step explanation:

Use PEMDAS.

Evaluate the expression in the parentheses:

230 - 151 + 180 + (43 - 12)

43 - 12 = 31

230 - 151 + 180 + 31

Add and Subtract From Left to Right:

230 - 151 + 180 + 31

79 + 180 + 31

259 + 31

290

None of the given options are correct.

Answer:

18

Step-by-step explanation:

Evaluate the expression: 23^(0) - 15^(1) + 18^(0) + (43 - 12) = 18

solve for x, x+3y=-3

Answers

Answer:

x=-3y-3

Step-by-step explanation:

x+3y=-3

x=-3y-3

Answer:

x= -3y-3

Step-by-step explanation:

x+3y= -3

Subtract 3y from both sides

x= -3y-3

The measure of angle 3 is 42°
What is the measure of angle 1 in degrees

Answers

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48

Answer:

It is 48 degrees because I took the test

Step-by-step explanation:

A man withdrew some money from the bank. He gave 1/2 of it to his sons and 1/3 to his daughter. If he had $500.00 left, how much did he take from the bank?

Answers

Answer:

916.67

Step-by-step explanation:

1/2 of 500.00

1/2×500.00

=250.00

1/3 of 500.00

1/3×500.00

=166.67

then add them

250.00+166.67

=416.67

then take 500.00 add with 467.67

500.00+416.67

=916.67

Ms. Eskew's class had a class average of 77 % on their Math test. How would this be written as a ratio? A. 23:100 B. 77:100 C. 54:100 D. 100:77

Answers

B because 77% relates to out of 100% so it us 77:100

Answer:

answer is B. 77 percent means 77/100

Have a great day

Step-by-step explanation:

brainliest please!!!!

If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4).

Answers

Answer:

(4,5)

Step-by-step explanation:

The x coordinate moves from 3 to 5 which is +2

The y coordinate moves from 2 to 3 which is +1

We move the point (2,4)

(2+2, 4+1) becomes (4,5)

Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the table below. Miguel’s Biking Log Day Miles Completed Monday 16.3 Tuesday 14 and one-half Wednesday 18.75 Thursday 12 and one-fourth Friday 22 and three-fifths How many total miles does Miguel need to ride on Saturday and Sunday to meet his goal? 15 and three-fifths miles 45 and one-fifth miles 62 and one-half miles 84 and two-fifths miles IM TIMED ASAP PLEASE HURRY

Answers

Answer:

15 and three-fifths miles

Step-by-step explanation:

First you add all the miles he rides.

Mon+Tue+Wed+Thu+Fri=84.4miles

Then you do 100m-84.4m=15.6

Answer:

I believe 15 and 3/5 miles is your answer.

PLEASE ANSWER ASAP! A copy machine reduces an original document using the ratio 5:3. What was the original length of a segment if, on the copy, it is 7.5 in. long? *Please provide an explanation!

Answers

Answer:

Divide the 7.5 by 3 to see how much bigger the ratio has to be.

7.5 / 3 = 2.5 so the ratio is 2.5 times bigger

multiply 5 by 2.5 to make the ratio equal and find the answer

5 x 2.5 = 12.5

It was 12.5 long and became 7.5 long

hope this helps. If you have any questions you may ask.

Step-by-step explanation:

Please answer this Question ASAP

Answers

Answer:

The answers are B, D, and E.

Step-by-step explanation:

Just look at the X coordinates, match them up with the Y, and there you go.

;)

Given g(x) = 2x + 5, find g(1)

Answers

Answer:

g(1) =7

Step-by-step explanation:

g(x) = 2x + 5

Let x=1

g(1) = 2(1) +5

      = 2+5

       =7

Answer:

g(1) = 7

Step-by-step explanation:

g(x) = 2x + 5

Put x as 1 and evaluate.

g(1) = 2(1) + 5

Multiply 2 and 1.

g(1) = 2 + 5

Add 2 and 5.

g(1) = 7

Write 260 the expression as an exponent with the base of: 8

Answers

Answer: do you have the answer chooses?

Step-by-step explanation:

HELP! 10 POINTS AND BRAINLIEST

Answers

Answer:

Yes it's D

Step-by-step explanation:

Multiply coordinates by 2. :P

What is the volume of the sphere below?
A. 817 units 3
B. 36 units 3
C. 27 units3
D. 12 units 3

Answers

Answer:

B)

Step-by-step explanation:

r= 3 units

[tex]Volume=\frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}*\pi *3*3*3\\\\=4*\pi *3*3\\\\[/tex]

= 36π unit³

Answer:

 B 36π units³

Step-by-step explanation:

V = 4πr³/3

r = 3

V = 4·π·3·3²/3

= 4π·9

= 36π units³

Which angles are corresponding angles check all that apply

Answers

Answer:

B. 1 and 5C. 7 and 3explanation:

these are corresponding angles because. They are on the same side of the transversal and measure the same.

Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction

Answers

Answer:

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Step-by-step explanation:

Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Answer:

It’s b

Step-by-step explanation:

)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.

Answers

Answer:

20 liters

Explanation:

To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).

15 liters ÷ 3 days = 5 liters per day

So, Devon jars 5 liters of jam per day.

Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.

5 liters × 4 days = 20 liters

Therefore, Devon will jar 20 liters of jam if she spends four days making jam.

Answer:

on ixl its 48.

Step-by-step explanation:

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