Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the perimeter of the rectangular shape = 170m

Length of the diagonal = 130m

Perimeter = 2L + 2W

diagonal d² = L² + w²

L is the length of the terrain

w is the width

140 = 2L + 2W

70 = L+W ..... 1

130² = L²+w² ..... 2

from 1, L = 70-w

substitute into 2;

130² = (70-w)²+w²

130² = 4900-140w + 2w²

16900 = 4900-140w + 2w²

2w²-140w - 12000 = 0

w²-70w - 6000 = 0

On factorizing;

(w+50)(w−120) = 0

w - 120 = 0

w = 120 m

Since L = 70 - w

L = 70 - 120

L = -50m

Hence the dimension is 120m by 50 m


Related Questions

Which expression is equivalent to 5^10 times 5^5?
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Awnser D is already ruled out

Answers

I believe the answer is A

(2a^3)^4(a^3)^3
simplify

Answers

Answer:

16a^21

Step-by-step explanation:

Answer:

16 a^21

Step-by-step explanation:

= (2a^3)^4 (a^3)^3

= (2^4 a^3*4) (a^3*3)

= (16a^12) (a^9)

= 16 a^21

1. (x + 2) < −3(x + 4)

2. −3x + 3 < 6

Answers

number 1:

[tex]x>\frac{-7}{2}[/tex]

number 2:

[tex]x>-1[/tex]

The first five multiples of the number 3

Answers

Answer: 3,6,9,12,15

Step-by-step explanation:

Im not sure how to explain this but if you listen to school house rock multiple of three song it helps.

D=R(100-x)/100 for R

Answers

r = 100d / 100 - x hope this works

The teachers need to buy eggs and plastic spoons for the egg race event. The teachers want to have 1 egg for every spoon. The eggs are sold in packs of 6 , and the spoons are sold in packs of 10 . If the teachers want to buy exactly 30 spoons and have no leftovers, they need to buy

Answers

Answer:

5 packs of eggs

3 packs of spoons

Step-by-step explanation:

Eggs are sold in packs of 6

Spoons are sold in packs of 10

The teachers want to have 1 egg for every spoon

Find the Lowest common multiple of 6 and 10

6 = 12, 18, 24, 30, 36, 42, 48, 54, 60

10 = 20, 30, 40, 50, 60

The lowest common multiple of 6 and 10 is 30

If the teachers want to buy exactly 30 spoons and have no leftovers

Eggs are sold in packs of 6

Number of packs needed = 30 /6

= 5 packs

Spoons are sold in packs of 10

Number of packs needed = 30/10

= 3 packs

The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers

A computer store buys a computer system at cost of 572.40 cents the selling price was first at 9:54 but then the store was advised at 20% markdown on the system answer parts a and b

Answers

Answer: See explanation

Step-by-step explanation:

A. Find the current sale price. Round to the nearest cent if necessary.

B) Members of the stores loyalty club can and additional 10% off their computer purchases. How much do club members pay for the computer with their discount.

A. Current sales price will be:

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

B. Club members will pay:

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

8* x + y + y; use x=9, and y = 10​

Answers

The answer would be 134,217,748

Answer:

If we have 8 * x + y + y:

We have to first substitute in x and y where they should be:

=> 8 * 9 + 10 + 10

According to the order of operations(PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction, multiplication and division is you go from left to right order, and same with addition and subtraction.)), we do the multiplication first(8*9):

=> 72 + 10 + 10

Now we just add them up:

=> 92

When making a batch of cookies, the recipe calls for 1 cup of sugar and 2 cups of flour. What is the ratio of sugar to flour in the cookies?

Answers

Answer:

5243 65 A

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

1/2

please help asap !!!!

Answers

Your answer is C,105

please help!! i need this done before tonight

Answers

Answer:

73.3

Step-by-step explanation:

cos 39=(57/x)

x=57/cos 39

= 73.345=73.3

cos x =adjacent/hypotenuse

adjacent is side where angle is subtended

hypotenuse is the longest side of the triangle


Anthony pald $273.20 for 4 new tires. What was the cost of each tire in dollars and cents?
F) $269.20
G) $6.83
H) $53.40
J) $68.30

Answers

Answer: J) $68.30

Step-by-step explanation:

$273.2/4=$68.3 for each tire

Answer:

J) $68.30

Step-by-step explanation:

Because there are 4 tyres, you split $273.20 into 4 parts, which is $68.30. I hope this helps!

Write the equation for (3,6) in a point-slope form

Answers

Answer  )Step-by-step explanation:

y

6

=

3

(x

3)

Answer:

y - 6 = m(x - 3)

Step-by-step explanation:

Use the given point (3, 6)

But slope is not known, need it to be known or the second point to find it

y - 6 = m(x - 3)

Question 1 An online music store is offering a promotion. When you spend $35 or more, you receive 3 songs for free. You buy an album for $12. Identify an inequality that represents how much more money *m* you must spend to receive the three free songs.

Answers

Answer:

you need to spend 23 Dollars

please help :((, im just completely lost

Answers

Answer: -9/4

Step-by-step explanation:

First you subtract 7/2 from both sides of the equation

3x + 7/2 - 7/2= x - 1 - 7/2

Next what you do is simplify one you add 3 + 7/2 which is 9/2

Then you subtract X from both sides of the equation

3x - x = x - 9/2 - x

combine the terms

2x = -9/2

divide both sides of the equation by the same term

2x/2 = 9/2 / 2

cancel the terms and divide the numbers

x=-9/4

Which weighs more: a pumpkin that weighs 3.2 kilograms, or a cat that weighs 9 pounds?

Answers

Answer:

The cat weighs more.

Step-by-step explanation:

1 pound is about 0.45 kilograms. If you convert 9lb to kilograms then you will get 4.08 kilograms, so the cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms, therefore the cat weighs more.

Solve 6.1−0.3≥c+1.
please help me

Answers

Answer:

c≤  24/25

Step-by-step explanation:

"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10

    61     3      

 (—— -  ——) -  (c + 1)  ≥ 0    then simplify 61/10

  10    10    

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    61 - (3)                   29

————————  =  ——

     10                          5

29    

 —— -  (c + 1)  ≥ 0  

 5    

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

            c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

              1            5      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Rewrite the whole as a fraction using  5  as the denominator :

                         c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

                             1            5    

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

                              29 - ((c+1) • 5)     24 - 5c

————————————————  =  ———————

                                          5                5

    24 - 5c

 ———————  ≥ 0  

      5    

 

Multiply both sides by  5  

5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     5c-24  ≤ 0

5.3    Divide both sides by  5  

     c-(24/5)  ≤ 0

5.4      Add  24/5  to both sides

            c ≤ 24/5

Answer:

wehj

Step-by-step explanation:

Im building my first gaming pc soon, any recommendations/tips?

Answers

Answer:

get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu

Step-by-step explanation:

please please help me​

Answers

I think it’s B. Sorry if it isn’t

Can anyone help me with this?

Answers

Step-by-step explanation:

for a it's y=12x+60

for b it's y=1x+21

for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.

for d it would be y=20x+20

it would be ethier a or d

Mario’s speed while riding his bike is shown in the graph.

Answers

Answer:

99fht

Step-by-step explanation:

If point P(3,-2) is rotated 90° about the origin, what is the
image of P?

Answers

Answer:

( -3, -2 )

Step-by-step explanation:

Rate me branliest please :)

Can someone please help me

Answers

The third option
Because when you’re finding the slope of a line you rise/run. Defined the B of a slope intercept equation you find where the line is intersecting the Y axis

Answer:

Y=.833x-2

Step-by-step explanation:

correct y intercept and rise over run  gives you the slope.

(Give Brainliest)need ASAP

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps

What do you think is the importance of having a hyperboloid structure in most of the power plants?

Answers

Answer:

Cooling Tower

A power plant consists of many components, but cooling towers are some of the most important. The function of a cooling tower is to release the excess heat (or waste heat) to the atmosphere by cooling down hot fluid (water, in most cases) to a lower temperature.

Step-by-step explanation:

Part B What is the perimeter in units, of polygon UVWXYZ? Enter your answer in the box​

Answers

Answer:

25 should be the answer.

Step-by-step explanation:

15 16 18 01:34:02 Kate begins solving the equation (6x – 3) = }(6x – 4). When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? Her work is correct and is shown below. (6x – 3) = (6x – 4) O The equation has infinite solutions. O The equation has one solution: x = 0. 4x - 2 = 3x - 2 O The equation has one solution: x = 4 O The equation has no solution.​

Answers

The true statement is that the equation has one solution; x = 0

How to determine the equation solution?

We have:

2/3(6x – 3) = 1/2(6x – 4)

When 2 is added to both sides, the equation becomes

4x = 3x

Subtract 3x from both sides of the equation

x = 0

Hence, the equation has one solution; x = 0

Read more about equation solutions at:

https://brainly.com/question/14323743

What is the slope of the line?
A. 3/4
B. -3/4
C. -4/3
D. 4/3

Answers

(0,0) (3,4)
(4-0)/(3-0) = 4/3
The slope is 4/3

Answer:

d, you go up for and over 3

I'm so lost in trigonometry please help??​

Answers

Answer:

The ladder will go approximately 35.71 ft up the building.

Step-by-step explanation:

The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.

It means the ladder will form a right triangle with the building with the following dimensions:

base  =  35  f t hypotenuse  =  50  f t height = ?

Using the Pythagorean Theorem to determine the height,

[tex]a^2+b^2=c^2[/tex]

Here,

a is the heightb is the basec is the hypotenuse

Substitute the given values into the equation to determine the height:

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]

[tex]a^2+1225=2500[/tex]

[tex]a^2=1275[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]

[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]

We know that height can not be negative. Thus,

[tex]a=35.71[/tex] ft

Therefore, the ladder will go approximately 35.71 ft up the building.

please, i really need help

Answers

(2,6) it’s where they cross. If there isn’t a graph make the two equations equal to each other to find x then plug in x to either equation to find y
Other Questions
Kirby is packing granola bars for a field trip. He already packed two bags with five granola bars in each bag. He has ten more to pack. How many granola bars will Kirby pack What will most likely happen if groundwater is drawn from the ground faster than it can be restored?The water table will be lowered.The water will become polluted.The water will flow to the sea.The water will fill nearby wells. How many millimeters are there in 7.89 meters?O 7,890 millimetersO 78,900 millimetersO 789 millimetersO 789,000 millimeters Match the memory type with its function. Can anyone give me the CORRECT words from 0-30 in spanish? Please and thank you Which equation(s) represents a nonproportional relationship? Select all that applyO y=3xO y=3x-2O y=x+1O y=-ax In which case would a scientist choose to use a dissecting microscope rather than a compoundmicroscope?Group of answer choicesTo determine the type of virus in a specimenTo view the surface of a plant leafTo view the cells of the skin.To determine the shape of bacteria The simple interest formula is 1=Prt. The P represents the principal.The principal is____-the percent interest for his year-the rate-the amount of money invested-the percent proportion 2. What is the role of religion in the development of unity? Which of the following would best help Wollstonecraft refine her ideas? . a discussion of societies from the past that have been ruled by women b. a quotation from a man showing his support for womens equal education c. evidence showing that women have not always expressed an interest in education d. the story of a girl who grows up to be happy after receiving a strong education10 A large nationwide company with 1200 employees claims that the number of days missed by its employees due to illness is below the national average of 7. A random sample of 40 employees resulted in a mean of 6.6 days with a standard deviation of 1.8. The hypothesis test resulted in a p-value of 0.084. Which of the following statements is true? A. There is a 10% chance that the null hypothesis is true and a 8.3% chance that the alternative hypothesis is true.B. There is a 8.3% chance that the mean number of days missed by employees at the company is below 7. C. Since the probability that the mean number of days is below 7 is small, the null hypothesis is likely true. D. If the mean number of days missed the company is 7 the probability of obtaining a sample mean of 66 days or lower is 0.063. How many groups of 12 day are in 1 week? A habitat that has many species has a high level of Which expression is the factored form of 2/3x+4A) 2/3 (x+6)B) 1/3 (2x+6)C) 2/3 (x+4)D) 2/3 (x+12) 100x40+79-40+1/4=? do you know the answer 1) A ______ idea is the main idea that an essay is based upon.A. secondaryB. controllingC. developed2) Select the SIX most common organizational structures for nonfiction texts.A. processB. descriptionC. cause and effectD. narrationE. expositionF. falling actionG. definitionH. comparison and contrastI. frame story Possible connotative meanings for boss and 2 example sentences (plz and thx u :) 10. People comment that Joe looks so much like his uncle. Did Joe inherit his good looks from his uncle? ExplainPlease explain:)!!! Why did President Washington want the United States to remain neutral? 1. Washington thought it was the safest plan 2. Washington thought it was the cheapest plan. 3.There wasn't an army established yet. 4.Washington didn't want the British to take over. two perpendicular lines intersect at the point (2,3). One line has a y-intercept of (0,5). Which of the following is the equation of the other line?