Don Luis, el carpintero, desea construir un mueble para estantería, el cual es in- dispensable que tenga dos áreas cuadradas, donde el cuadrado mayor mida por lado, una unidad menor que el doble del largo del cuadrado menor. El área total del mueble será de 121 pies cuadrados.

Answers

Answer 1

Answer:

El área de un cuadrado de lado L es:

A = L*L

Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft

Área menor = L*L = L^2

Área mayor = (2L - 1ft)*(2L - 1ft)

El área total es igual a la suma de ambas áreas:

121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2

Ahora podemos resolver esto para L.

121 ft^2 = 5*L^2 - 2ft*L + 1ft^2

0 = 5*L^2 - 2ft*L - 120 ft^2.

Usando la formula de Bhaskara, las soluciones son:

[tex]L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}[/tex]

Las dos soluciones son:

L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft

L = (2ft - 49ft)/10 = -4.7 ft

Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.

Entonces el largo de los lados del cuadrado menor es L = 5.1 ft

El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft


Related Questions

On a school trip, a class travels 22 kilometers by train and 9.36 kilometers by bus. How far did the class travel?

Answers

Answer:

Just add

Step-by-step explanation:

22 + 9.36 = ?

22 + 9.36 = 31.36

So, they traveled 31.36 kilometers.

The class traveled 31.36 kilometers

I need the formula for calculating interest in APR.

Will give Brainliest

Answers

Answer:

To calculate APR, you can follow these 5 steps:

1. Add total interest paid over the duration of the loan to any additional fees.

2. Divide by the amount of the loan.

3. Divide by the total number of days in the loan term.

4. Multiply by 365 to find annual rate.

5. Multiply by 100 to convert annual rate into a percentage.

Don't know if you still need this, but thought I could help!

How many planes pass through three or more vertices of a regular octahedron?

Answers

Answer:

The total number of planes = 23 planes

Step-by-step explanation:

The number of planes are give as follows;

The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20

The number of distinct planes that has 4 points in the octahedron = 3

Therefore, the total number of planes are 20 + 3 = 23 planes.

mp + 3); use m = 3, and p = 5

Answers

Answer:

15+3=18

Step-by-step explanation:

mp=3x5=15 + 3 it is 18 the answer

(4x+7)(4x+7) um help pls? idk how to math >~<
the assignments due in like 30 minutes aaaaaa

Answers

Answer: 16x^2+56x+49
Solving Steps:

6h + 20 is greater than for equal to 100 in a real world problem

Answers

Answer:

im sorry whats the question

Step-by-step explanation:

Answer:

Example:

John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.

1- If you ran 12 laps around the track in 4 minutes, what is the unit rate? 2- Lin bought 3 hats for $22.50. At this rateis this rught

Answers

Answer:

huh

Step-by-step explanation:

What is the value of (-5) the power of 4

Answers

Answer:

625

Step-by-step explanation:

(-5)^4 = 625

1400 = 2P x 52 x 7
Find the value of p.

Answers

Answer:

The answer is 25/13

Step-by-step explanation:

Answer:

1.923=p If you are rounding you can round to 1.9

Step-by-step explanation:

We must simply get P alone.

1400 = 2p*52*7

First we can multiply the integers

1400 = 2p*364

To get P alone we can divide by 364 on both sides

1400/364 = 2p

3.846 = 2p

Divide by 2 on both sides

3.846/2 = p

1.923 = p

Select all the true statements about the graph of a line that slants downward from left to right.

A The slope of the line is negative.
B As the value of one variable increases, the value of the other variable decreases.
C The slope of the line is a fraction.
D The graph of the line has extremely small values.

Answers

Answer:

A. The slope of the line is negative.

B. As the value of one variable increases, the value of the other variable decreases.

For C and D, the line that slants downwards from left to right can have these qualities, but not always. As for A and B, it will always have these qualities.

The true statements about the graph of a line that slants downward from left to right will be:

A. The slope of the line is negative.B. As the value of one variable increases, the value of the other variable decreases

It should be noted that a graph of a line that slants downward from left to right will have the slope of the line to be negative and as the value of one variable increases, the value of the other variable will reduce.

On the other hand, the slope of the line is not always a fraction and the graph of the line doesn't have to possess small values.

Read related link on:

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A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?

Answers

Answer:

A) Find the square root of 8,100.

Step-by-step explanation:

Answer is above

PLS HELP! URGENT

The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant proportionality?

Answers

Answer:

(0,0) represents the cost of 0 bags of candy.

where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6

Step-by-step explanation:

what are a couple ways to simplify 3(x-5)-4=17

Answers

Simplifying

3(x + -5) + -4 = 17

Reorder the terms:

3(-5 + x) + -4 = 17

(-5 * 3 + x * 3) + -4 = 17

(-15 + 3x) + -4 = 17

Reorder the terms:

-15 + -4 + 3x = 17

Combine like terms: -15 + -4 = -19

-19 + 3x = 17

Solving

-19 + 3x = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '19' to each side of the equation.

-19 + 19 + 3x = 17 + 19

Combine like terms: -19 + 19 = 0

0 + 3x = 17 + 19

3x = 17 + 19

Combine like terms: 17 + 19 = 36

3x = 36

Divide each side by '3'.

x = 12

Simplifying

x = 12

Which number is rational?

A. -2.1010010001...
B. -0.8974512...
C. 1.3547569...
D. 5.3333333...

HELP!!!!

Answers

d
hope this helps
this is because the .3 is repeating but it is the same number repeating(it is a pattern)

I will give you branilest!

Here is a circle with center H and some line segments and curves joining points on the circle. Identify ONE example of each of the following.
a. Diameter
__________
b. Radius
_________
(Be sure that your book includes your written reasoning.)

Answers

Answer:A diameter is a chord that runs through the center point of the circle. It is the longest possible chord of any circle

Step-by-step explanation:The Radius is the distance from the center outwards.

The examples are,

a. Diameter: DG

b. Radius: AH, EH, DH, GH

What is meant by Diameter?Diameter: straight line passing one side to another side through the center of a circle or sphere is known as diameter.the line DG joins 2 points on the circle from one side to another passing through the center of the circle.Therefore, the DG segment is an example of a diameter.Radius:  a line segment extending from the center of a circle or sphere to the circumference is known as a radius.The lines HA, HE, HD, and HG, extend from the center of the circle to the points on the circumference of the circle.

Therefore, these segments are examples of radius present in the image.

The examples are,

a. Diameter: DG

b. Radius: AH, EH, DH, GH

To know more about circles, refer:

brainly.com/question/24375372

#SPJ2

14 – 2u = -12
Solve for u

Answers

Answer: u=13  

Step-by-step explanation:

A store has 4 employees that earn 178 dollars altogether if they all earn the same amount how much does each employee earn

Answers

Answer:

Each employee earns $44.50

Step-by-step explanation:

When you divide $178 evenly among 4 employees, each will get $44.50.

178÷4= 44.50

Check: 44.5×4= 178

Please help. I do not understand and I have limited time to do so

Answers

Answer:

D would be the answer

Step-by-step explanation:

since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)

0=5y-x+5 in slope intercept form

Answers

Answer:

y=1/5x-1

Step-by-step explanation:

SI form is Y=mx+b

Answer: 1/5x-1
Hope it’s correct

ill make brainllest if right

Answers

C might be the answer I believe

A half marathon is a distance of 13.1 miles. Your teachers decides to run a half marathon and it takes about 2 hours. What is the average speed of your teacher?

Answers

Answer:

its 7

Step-by-step explanation:

Assuming there are no reflections or dilations, explain how you would write the equation of the function whose graph is sketched below.

Answers

Answer:

Start with the parent function y= 1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit.

Step-by-step explanation:

i just know

The equation of the function shown in the provided graph is [tex]y=\frac{1}{(x+3)^{2} }[/tex].

The parent function is: [tex]f(x)=\frac{1}{x^{2} }[/tex]

How horizontal shifting of the graph takes place?

If a function f(x) is shifted horizontally by k units the parent function f(x) becomes f(x+k) where k>0

Since the graph is shifted towards the negative x-axis by 3 units.

So, the parent function f(x) will become f(x+3).

[tex]f(x)=\frac{1}{x^{2} }[/tex]

[tex]f(x+3)=\frac{1}{(x+3)^{2} }[/tex]

So, the equation of the function will be [tex]y=\frac{1}{(x+3)^{2} }[/tex].

Therefore, The equation of the function shown in the provided graph is [tex]y=\frac{1}{(x+3)^{2} }[/tex].

To get more about the graphs visit:

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A bundle of 6 XBox games cost's $179.94. How much does each game cost?

Answers

Answer:

29.99 because you divide 179.94 by 6 to get the cost of each game

Answer:

they each cost 29.99

Step-by-step explanation:

2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?

Answers

His pay for the week is 296

Answer:

$296.

Step-by-step explanation:

Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.

Find the mean number of of hours for these students. Round to the nearest tenth

Answers

The answer is 13.42
You add up all the numbers and then divide by how many there are.
So its 15+20+11+20+11+9+8= 94. Then 94 / 7 = 13.42 .

· 100 · (0.7)3. (1 - 0.7)5-3?

Answers

Answer:
100•(0.7)3•(1-0.7)5-3
100•0.7•3•0.3•5-3
315-3
312

Camden paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Camden buy? *

Answers

Answer:

he bought 3.5 pounds because 3.28 times 3.5 equals the cost

Step-by-step explanation:

3.5 cause i did the math lol*^

Finding the Zeroes of a Quadratic Function

x f(x) = −x2 + x + 6

−2 a

−1 4

0 b

1 6

2 c

a =


b =


c =

Answers

Answer:

-2 a

Step-by-step explanation:

 

Answer: stay steez up twin

Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?

Answers

Answer:

The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445

Step-by-step explanation:

Since we have given that

Amount he saved per month over the first 7 months = $35

Amount he saved per month over the next 5 months = $40

So, total saving by the end of the year is given by

\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}

35×7+40×5

=$245+$200

=$445

Hence, the expression shows the number of dollars he will have saved by the end of the year is given by

35(7)+40(5)=\$44535(7)+40(5)=$445

If 7x +10 = 44, what is the vallue of 7x – 50?

Answers

Answer:

7x-50 = -16

Step-by-step explanation:

7x + 10 = 44

x = 34/7

7(34/7) - 50 = -16

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