Tenemos un rectángulo cuya área es (15n + 9nx) cm 2 y su base mide (3n) cm. Existe también un cuadrado con la misma altura del rectángulo, tal que si al área del cuadrado se le disminuye (9x 2 ) cm 2 , ésta medirá 1825 cm 2 . ¿Cuánto mide el área original del cuadrado?

Answers

Answer 1

Answer:

El área original del cuadrado es 34225 cm²

Step-by-step explanation:

Los parámetros dados son;

El área del rectángulo = (15·n + 9·n·x) cm²

La longitud de la base del rectángulo = (3·n) cm

La altura del cuadrado = La altura del rectángulo

El área original del cuadrado - 9·x² cm² = 1825 cm²

La altura del rectángulo = (El área del rectángulo) / (La longitud de la base del rectángulo)

∴ La altura del rectángulo = (15·n + 9·n·x) / (3·n) = 5 + 3·x

La altura del rectángulo = 5 + 3 · x = La altura del cuadrado

El área del cuadrado = Lado × Lado = Altura × Altura = (5 + 3·x) × (5 + 3·x)

∴ El área del cuadrado = (5 + 3·x) × (5 + 3·x) = 9·x² + 30·x + 25

Del área original del cuadrado - 9·x² cm² = 1825 cm², tenemos;

9·x² + 30·x + 25 - 9·x² = 1825

30·x + 25 = 1825

30·x = 1825 - 25 = 1800

x = 1800/30 = 60

x = 60

El área original del cuadrado - 9·x² cm² = 1825 cm²

El área original del cuadrado = 1825 cm² + 9·x² cm² = 1825 cm² + 9 × 60² cm² = 34225 cm²

El área original del cuadrado también se puede encontrar de la siguiente manera;

El área original del cuadrado = (5 + 3 × 60) × (5 + 3 × 60) = 34225 cm²

El área original del cuadrado = 34225 cm².


Related Questions

3^2*3^-3 i need help fast

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Equals 1/3 , 0.3333...
the answer is 1/3 ...

What is the answer...?

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Answer:The answer is c

Step-by-step explanation:

Multiply both side is the equation by -1.

Sum the equations vertically to eliminate at least one variable

Divide both sides of the equation by 3

Substitute the given value of y into the equation 2x+3y=8

and then solve for x

1. Write a point slope form of the equation of a line through the given points: (2, 3) and (-5, -5)

Answers

Answer: 8/7
delta y/ delta x
-5-3/-5-2
-8/-7
slope = 8/7

Answer:

y = 8/7x + 5/7

Step-by-step explanation:

Change in y over change in x to get the slope.

PLEASE HELP 13 PTS
Which of the following would best complete the diagram above?

A/ Proclamation line secured

B/ Taxation of the colonists

C/ Albany Plan of Union

D/ Causes of the American Revolution

Answers

Answer:

A.  Proclamation line secured

Step-by-step explanation:

The proclamation line has been secured based on the two maps provided.

Find an explicit rule for the nth term of the sequence.

7, 21, 63, 189, ...

Answers

Answer:

f(n) = f(7) * 3^(n-1)

Step-by-step explanation:

Can someone help me with those questions? (Try your best plzz)

Answers

Answer:

Step-by-step explanation:

1. 34 animals because of 34 heads.

94 legs: 4 per cow, 2 per chicken

x= # of cows

y= # of chickens

so x+y=34

4x+2y=94

Multiply the first equation by -2 is -2x-2y=-68 and add it to the first equation.

which is 2x=26. so x=13. Since x+y=34, 13+y=34.

Therefore, y=21

13 cows and 21 chickens.

2. lets say

pizza=y

soda=x

6x+x=14 combine like terms

7x=14 divide both sides by 7

x=2

So a soda is $2.

6*2=12. So the pizza is $12.

12+2=14. So it's correct.

3.

# of DVDS=x

# of Bluray= y

11x+17y=95

x+y=7

dvds-4

blu-ray-3 (I just did trial and error, but it's correct)

4.  

# of 2-points= x

# of 3-points= y

2x+3y=18

2(6)+3(2)=18

so 6 two-point shots and 2 three-point shots.

5.

12 coins are quarters and 14 are dollar coins.

let q stand for the number of quarters

and 26 coins in total

26-q= dollar coins

x=dollar coins too

so its 1x+.25(26-x)=17

1x+6.5-0.25x=17

.75x+6.5=17

.75x=10.5

x=14

17-14=3

3*4= 12 since 4 quarters in a dollar.

5. The denominator of a fraction exceeds the numerator of a fraction by 25.
The value of the fraction is 3/8. Find the number

Answers

9514 1404 393

Answer:

  15/40

Step-by-step explanation:

The difference between denominator and numerator in 3/8 is 8-3 = 5. In order to get an equal-value fraction with that difference being 25, each of the numbers must be multiplied by 5:

  3/8 = 15/40

The number is 15/40.

Mindy makes 6 dozen chocolate chip cookies.
She takes 20 minutes to make all the cookie batter, and then she puts the cookies in the oven for 8 minutes per dozen.
To find how much time Mindy takes to make all the cookies, identify the hidden question.

Answers

You have to find how much time it took to bake 6 dozen cookies. 6 x 8 = 48 min
Then add the 48 min to the 20 min it took to make the batter. 48+20= 68 min or 1 hr 8 min

Which list shows the numbers in increasing order?
−3/5,−7/13,−5/8
−3/5,−5/8,−7/13
−7/13,−3/5,−5/8
−5/8,−3/5,−7/13

Answers

Answer:

-7/13, -3/5, -5/8

Step-by-step explanation:

D. -5/8, -3/5, -7/13



Try dividing the fractions
You’ll get -0.625 for -5/8
-0.6 for -3/5
And -0.538 for -7/13

9x^2+16=0 what are the solutions

Answers

X=4i/3,-4i/3

Need 20 characters

In the rhombus ABCD, ĐDAE = 30°. Which is ĐABC?
309
D
C
A.
30°
OB.
60°
c.
120°
OD.
150°

Answers

Answer:

C. 120 deg

Step-by-step explanation:

All sides of a rhombus are congruent.

That means that triangle ADC is an isosceles triangle with AD = CD, so angles DAE and DCE are congruent.

m<DAE + m<DCE + m<ADC = 180

30 + 30 + m<ADC = 180

m<ADC = 120

Opposite angles of a rhombus are congruent, so

m<ABC = m<ADC = 120

C 120’ is the answer

what is the slope of =-8x +3

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

because the equation calls for y=mx+b and the m stands for slop and the b stands for the y intercept

(ASAP) (WITH PROPER STEPS AND EXPLAINATION PLEASE) Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6: 2. How many members are on the team? Show your work. ​

Answers

Answer:

Step-by-tep explanation:

Racers. 6/2= 18/6 18+6= 24

Diver

HELP WITH THIS QUESTION PLS

Answers

Answer:

Step-by-step explanation:

                  Statements                                   Reasons

1). ∠CXY ≅ ∠BXY                             1). Given

2). ∠CAX ≅ ∠BAX                            2). Given

3). AC ≅ AB                                      3). Given

4). AX ≅ AX                                      4). Reflexive property

5). ΔAXC ≅ ΔAXB                            5). SAS property of congruence

6). CX ≅ BX                                      6). CPCTC

7). XY ≅ XY                                       7). Reflexive property

8). ΔYXB ≅ ΔYXC                             8). SAS property of congruence

9). ∠XCY ≅ ∠XBY                             9). CPCTC  

How much does Taryn charge to mow a lawn?

Answers

Answer:

Taryn charges $12.50 per lawn.

Answer: 12.50 per lawn

Step-by-step explanation:

Question 3
3
Oversteer is the termed used to describe front wheel loss of traction.
а)
True
False
b)

Answers

Answer:I think it is true

Step-by-step explanation: If you oversteer then it should loose the traction. But I am not sure hope this helps

Bridget is on her middle school’s basketball team. In it’s last game, her team made 31 of it’s shots. Some of those were free throws, worth 1 point each, & some of those were regular field goals, worth 2 points each. The team didn’t make any 3 pointers and finished the game with 49 points. This system of equations can be used to represent the situation
X + y = 31
X + 2y = 49
Which statement is correct
(statements are at the top aka the picture I provided)
How many points did Bridget’s team score from the field goals?

Answers

Answer:

Step-by-step explanation:

Let the number of free throws = x

And the number of regular field goals = y

Total shots made by the team = 31

Equation for the shots will be,

x + y = 31 ------(1)

If the team gets 1 point for free throws and 2 points for a regular field goal,

x + 2y = 49 --------(2)

[total points gained by the team = 49]

1). Option (2) is the correct option.

2). Subtracting equation (1) from equation (2),

  (x + 2y) - (x + y) = 49 - 31

  y = 18

  Therefore, number of  regular field goals made by the team = 18

Solve each proportion.

4/9=10/x

Wat is x?

Answers

Answer:

x=22.5

Step-by-step explanation:

90=4x

x=22.5

Hope this helps!

Ruby is taking a road trip to see her parents. She drives 1 1/4 hours which covers 1/8 of her trip. How many hours will it take her to complete her trip?

Answers

Answer:

2/5

Step-by-step explanation:

hope dis helps

Answer:

2 2/4 is 2/8 of her trip3 3/4 is 3/8 of the trip 4 4/4 is 5 hours which is 4/8 of her trip 6 1/4 is 5/8 of her trip7 2/4 is 6/8 of her trip 8 3/4 is 7/8 of her trip  {and the answer is 10 hours which 9 4/4 is 8/8 of her trip and she completed the trip in 10 hours.}

Step-by-step explanation:

Factor.
9y2 - 12y - 12 Please put it as (x+b) (x+b) form

Answers

Answer:

3(3y+2)(y-2)

hope this helps

Answer: 3(3y+2)(y-2)
Solving Steps:

2÷ 2/5
I need help on this

Answers

Answer:

5

Step-by-step explanation:

keep, change, flip

2/1 (keep)  x (change to multiply)  5/2(2/5 flips to 5/2)

2/1  x  5/2

10/2

5

Answer:

5

Step-by-step explanation:

this is easy, use a calculator

Find the zeros of the quadratic function

Answers

Answer:

Step-by-step explanation:    it cccccccccccccccc

What is the answer to 56.40-3.67

Answers

Answer: 52.73

Explain: 56.40 - 3.67 = 52.73

the ratio of width to the length is 2 : 7 if the width of the the window is 3 feet then what is the length

Answers

Answer:

I think it's 8 because 1 is added to 2

Answer:

3:10.5

Step-by-step explanation:

3/2 = 1.5. Therefore, you have to multiply 2 and 7 by 1.5 to find the equivalent ratio.

What is the slope of (1,0) and (3, 4) (remember to use the slope formula y1-y2/x1-x2
and reduce)

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, 0)

Point (3, 4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{4-0}{3-1}[/tex]Subtract:                       [tex]m=\frac{4}{2}[/tex]Divide:                          [tex]m=2[/tex]

The table compares the sizes (in grams) of rice packs and their cost (in dollars) for several different convenient stores.
Can the size of a pack be represented as a function of its price?
Price (dollars) Size (grams)
2.302.302, point, 30 100010001000
1.901.901, point, 90 850850850
2.002.002, point, 00 900900900
2.602.602, point, 60 120012001200
1.901.901, point, 90 850850850
2.502.502, point, 50 110011001100
1.701.701, point, 70 850850850
1.901.901, point, 90 950950950
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No



































vvv

Answers

Answer:

pues pienso que es la A fijate niña

Step-by-step explanation:

porque pues asi pienso

No the size of a pack cannot be represented as a function of its price.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

It really depends, but the size of the pack can affect the pricing, if it is price by weight.

As, we know that function have have only one input value with their corresponding output.

But here the input value for rice packs 1.90 have two output values one is 850 and another 950.

Hence, the table cannot be represented as Function.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ2

True or false? Jdkdjdjdjjddjds

Answers

Answer:

True

Step-by-step explanation:

To divide fractions, flip one of the fractions then multiply them together.

-1/10 ÷ -3/5 =

-1/10 ÷ -5/3=

-1/10 x -5/3 = 5/30

Because a negative times a negative is a positive the product/quotient is positive.

c - 12 = -14
and
7 + x = -1
plz help thank you

Answers

Answer: x= -2, c= -8

Step-by-step explanation: To solve the first equation, move the 12 over to the right side. To do this, do the oposite operation. So add 12 on both sides. The 12 on the left side cancels out, and you are left with x= -14+12. X=-2. Do the same thing for the next equation. Subtract 7 from the left side and the right side. C= -1-7. C= -8

C=-2
C=-8

Explanation: move -12 Away from C side to -14 but make it opposite of -12 so it’s +12 so c=-14+12 you get c=-2 and check by setting it up like -2-12=-14

What is the slope of a surface having a rise of 5 feet and a run of 0 feet?

Answers

Answer:  The slope is "undefined."

Step-by-step explanation:  In math, division by 0 is undefined-- like you can't do it  

For slope, you need to divide rise/run.  If the run is 0, so undefined.

In real life, this surface would be like a wall or a door. They don't have a slope if they're constructed properly!

how many bricks each 22 cm long and 15 CM broad will be required to pave a court 30 metre long and 22 wide​

Answers

Answer:

BBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

CAUSE I SAID SO

Answer:

20,000 bricks

Step-by-step explanation:

length of brick(L)=22cm

breadth of brick(B)=15cm

now,

area of brick(A)=L×B

=22×15s.q.cm

=0.033s.q.m

again,

length of court(l)=30m

breadth of court(b)=22m

now,

area of court(a)=l×b

=30×22s.q.m

=660s.q.m

lastly,

no.of required brick=area of court/area of

brick

=600 s.q.m/0.033s.q.m

=20,000bricks

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