Answer:
(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
Step-by-step explanation:
(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.
El volumen de un cubo está dado por la siguiente fórmula:
[tex]V = L^{3}[/tex]
Donde:
[tex]L[/tex] - Longitud de la arista, medida en dados.
[tex]V[/tex] - Volumen del cubo, medido en dados cúbicos.
Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:
[tex]L = \sqrt[3]{V}[/tex]
Dado que [tex]V = 125\,dados^{3}[/tex], encontramos que la altura del cubo de mayor tamaño sería:
[tex]L =\sqrt[3]{125\,dados^{3}}[/tex]
[tex]L = 5\,dados[/tex]
Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:
[tex]A = L^{2}[/tex]
Donde:
[tex]L[/tex] - Longitud de arista, medida en dados.
[tex]A[/tex] - Área, medida en dados cuadrados.
Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de [tex]L[/tex] tal que no supere 125 y de un área entera. Es decir:
[tex]L \leq 125\,dados[/tex]
Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:
[tex]L^{2}< 125\,dados^{2}[/tex]
Esto nos lleva a decir que:
[tex]L < 11.180\,dados[/tex]
Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:
[tex]n = (11\,dados)^{2}[/tex]
[tex]n = 121\,dados[/tex]
Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
how can I put the problem into a sentence please help !
Solve the quadratic equation given below by completing the square.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
x^2 - 2x - 12 = 0
what is 342+8837+377+3893+39845
Answer:
53,294
Step-by-step explanation:
what's the greatest common factor for 22 and 55
Answer: 11
Step-by-step explanation: the factors of 22 are 22, 11 and so on, and the factors of 55 are 55, 11 and so on hope this helped❤
The greatest common factor for 22 and 55 is, 11.
We have to given that;
Numbers are,
22 and 55
Since, The highest number that divides exactly into two more numbers, is called Greatest common factors.
Here, Factors are,
22 = 2 x 11
55 =2 x 11
Thus,
The greatest common factor for 22 and 55 is, 11.
Learn more about the Greatest common factors visit:
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ASAP ASAP PLEASEEEEE! WILL GIVE BRAINLIST
Answer:
A: -6r+6
Step-by-step explanation:
[tex]8-\left(6r+2\right)[/tex]
[tex]-(6r+2)=-6r+2[/tex]
[tex]=8-6r-2[/tex]
[tex]8-6r-2=-6r+6[/tex]
[tex]=-6r+6[/tex]
simplify the expression
4t + 10t
Answer:
Add 4t and 10t
14t
Step-by-step explanation:
When you have the same variable you simply can add them together.
Hope this helps :)
Write equations of the horizontal and vertical lines that pass through (−5,−4).
Horizontal-
Vertical-
Which equation represents the graphed function?
A. y = -2x + 3
B. y = 2x + 3
C. y=1/2x+3
D. y=-1/2x+3
Answer:
y= - 2x+3
Step-by-step explanation:
3 is our start possition
the number before the x is the rise over run
so we would "rise" (vertical) 2 but since it has a - it will be going the oppisite direction then our run would be 1 going over horizenly 1 block
PLEASE HELP!! I'M VERY CONFUSED
Correct answer will be awarded with brainliest answer
Asap
I need help please
Answer:
c
Step-by-step explanation:
The data in this table represents a linear function.
What is the slope of this line?
A.1/2
B.2/3
C.1
D.2
x y
3 3
6 9
8 13
11 19
HELP ILL MAKE MOST BRAINLIEST
Answer:
i took the quiz and got D
Step-by-step explanation:
A rectangle in Quaderant 1 is transformed to produce a congruent rectangle in Quaderent 2. Which could describe the transformation.
Answer:
A translation
Step-by-step explanation:
The rectangle doesn't change, it just scoots over.
For the functions f left parenthesis x right parenthesis equals 6 minus x squared and g left parenthesis x right parenthesis equals x squared plus 4 x minus 12, find fplusg, fminusg, fg, and StartFraction f Over g EndFraction . Determine the domain for each function.
Answer:
Step-by-step explanation:
Given the functions
F(x) = 6-x²
G(x) = x²+4x-12
A) we are to find F(x)+g(x)
F(x)+G(x) = 6-x²+x²+4x-12
F(x)+G(x) = 6+0+4x-12
F(x)+G(x) = 4x+6-12
F(x)+G(x) = 4x-6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
F(x)-g(x) = 6-x²-(x²+4x-12)
F(x)-g(x) = 6-x²-x²-4x+12
F(x)-g(x) = 6-2x²+4x+12
F(x)-g(x) = -2x²+4x+6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
3) F(x)/G(x)
= 6-x²/x²+4x-12
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
value of 5/6 divided by 3/4?
Answer:
1 1/9
Step-by-step explanation:
I will mark BRAINLYLIST if correct plzzzz helppppp
Answer:
107
Step-by-step explanation:
it looks like a right angle
Answer:
The answer is 107 degrees.
Step-by-step explanation:
The sum of all the angle of a triangle must equal 180 degrees. That being said if you grab 180 and subract 44 and 29 from it you get 107 degrees. 107+44+29=180. If this did not equal 180 the answer would be wrong but since it does it is right.
A phone company offers two monthly charge plans. In plan a there is no monthly fee, but the customer pays 8 cents per minute of use. In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use. For what amount of monthly phone use will plan a cost more than plan b? Use m for the number of minutes of phone use in a month and solve your inequality for
Answer:
[tex]m>2.40[/tex]
Step-by-step explanation:
Let m denotes the number of minutes of phone use in a month.
In plan a there is no monthly fee, but the customer pays 8 cents per minute of use.
Total cost of plan a = [tex]8m[/tex]
In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use.
Total cost of plan b = [tex]2.40+7m[/tex]
To find amount of monthly phone use for which plan a cost more than plan b, solve the inequality [tex]8m>2.40+7m[/tex].
[tex]8m>2.40+7m\\8m-7m>2.40\\m>2.40[/tex]
Explain how to multiply two numbers with different signs.
Helpppp
Answer:
number 1. 6x6, number 2. 6*6, number 3. 6.6
Step-by-step explanation:
14, What is the value of the expre
3(20 – x) =
Your answer
Answer:
= −3x + 60
Step-by-step explanation:
3(20−x)
=(3)(20+ −x)
=(3)(20) + (3)(−x)
=60 − 3x
= −3x + 60
Sorry, I'm Late.
Hope This Helps!
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Please Solve
3/5 (2m-10)=2/3m+10
Answer:
m = 30
Step-by-step explanation:
3/5 (2m-10)=2/3m+10
Distribute
6/5 m - 6 = 2/3m +10
Subtract 2/3 m from each side
6/5 m - 2/3 m - 6 = 2/3m -2/3m +10
6/5 m -2/3m - 6 = 10
Add 6 to each side
6/5 m -2/3m - 6+6 = 10+6
6/5m -2/3m = 16
Get a common denominator of 15
18/15 m - 10/15 m =16
8/15 m = 16
Multiply each side by 15/8
15/8 *8/15 m = 16*15/8
m = 30
The Chicago Cubs attendance is approximately 42,000 fans per game what will be their total attendance after 10 games?
Answer:
420,000
Step-by-step explanation:
Please help ill give brainlist
Answer:
c. m∠2 = m∠5
Step-by-step explanation:
We can check 1 by 1 and find the false one.
For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.
For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.
For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.
For answer d, measure 2 and 6 are corresponding angles, so that's also not false.
Therefore, the answer must be c.
Can anyone please help me
Answer:
y = 8 + 12x
Step-by-step explanation:
Step 1: Write equation
3x - 1/4y = -2
Step 2: Solve for y
Subtract 3x on both sides: -1/4y = -2 - 3xMultiply both sides by -4: y = -4(-2 - 3x)Distribute -4: y = 8 + 12xis this correct or should it be RWI??
Luis helped raise money for his school by jogging in the school jog-a-thon. The total
amount of money he raised can be represented by the expression 1.75m, where mis
the number of miles he jogged. If Luis raised a total of $21, how many miles did he jog?
Answer:
12
Step-by-step explanation: simple division
The dimension of a laying block is 6m ×4m×2m .find the total surface area of the block
See attachment for math work and answer.
PLEASE HELP ME ASAP! ILL GIVE BRAINLEST
Answer:6(-4)
Step-by-step explanation:
Answer:
4(-6), 6(-4), 12(-2)
Step-by-step explanation:
Hi there!
A negative number times a positive number is a negative number. So, since -4 x 6 has one negative number, you can think of it as 4 x 6 and then add a minus sign after multiplying, so -4 x 6 is -24.
In multiplication, no matter which way the equation goes, the answer will always be the same ( 5 x 3 is the same as 3 x 5). Therefore, we are looking for another equation that will also equal -24.
4(-6) is the same because it is still one number that is a negative, and it still equals -24.
6(-4) is the same as well, it's just we're putting the parentheses around the -4 this time.
12 x 2 is 24, so 12(-2) is negative 24 (-24)
I hope this explanation helped you! I'd appreciate if you gave me Brainliest, rated my answer and gave it a Thanks! Have a great day!
19. Mrs. Tyner tutors to earn additional money. For each person she tutors, she charges $15 for the first hour
then $10 for each additional hour. Ms. Starling was paid a total of $35 last Saturday. Which equation can be
used to determine h, the amount of hours Mrs. Tyner tutored on Saturday.
[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]
Plz help<3 I need to hurry up and get this assignment done
Answer:
[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]=9
{(3, 2), (5, – 1), (6, 7), (3, – 8), (4, 2)} Which set of information is true about the relation shown?
Answer: the second function
Step-by-step explanation: