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.
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.
Asap
I need help please
Answer:
c
Step-by-step explanation:
value of 5/6 divided by 3/4?
Answer:
1 1/9
Step-by-step explanation:
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:
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
Write equations of the horizontal and vertical lines that pass through (−5,−4).
Horizontal-
Vertical-
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:
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:
how can I put the problem into a sentence please help !
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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[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
PLEASE HELP!! I'M VERY CONFUSED
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:
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 :)
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.
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
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
Correct answer will be awarded with brainliest answer
{(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:
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.
is this correct or should it be RWI??
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!
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!
Please Mark Brainliest When You Can!
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.
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.
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]
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 + 12xLuis 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