Question

: The pieces of the Triangular Curvica are obtained from a triangle equilateral of which we can choose to hollow, bulge or leave as is each side. 1) Which room has the smallest perimeter? 2) Name the room that has the same perimeter as room C. 3) Name the parts whose area is less than the area of part A. Ex bonus: Dice are cubes whose faces are numbered according to the following rule: the sum points appearing on two opposite faces must always be equal to 7. You see on the right two dice stacked together on others. Die 1 has four dots on its upper side. How many points are there in total on the three horizontal faces that you cannot no see ?

142

likes
710 views

Answer to a math question : The pieces of the Triangular Curvica are obtained from a triangle equilateral of which we can choose to hollow, bulge or leave as is each side. 1) Which room has the smallest perimeter? 2) Name the room that has the same perimeter as room C. 3) Name the parts whose area is less than the area of part A. Ex bonus: Dice are cubes whose faces are numbered according to the following rule: the sum points appearing on two opposite faces must always be equal to 7. You see on the right two dice stacked together on others. Die 1 has four dots on its upper side. How many points are there in total on the three horizontal faces that you cannot no see ?

Expert avatar
Gene
4.5
108 Answers
1) Pour déterminer quelle pièce a le plus petit périmètre, nous devons examiner les différentes options de creusement, de bombement ou de laisser en l'état pour chaque côté.
Le périmètre d'une pièce est égal à la somme des longueurs de ses côtés.

Supposons que la longueur d'un côté du triangle équilatéral de départ soit représentée par la variable $l$.
Si nous creusons un côté, nous retirons une certaine longueur de ce côté. Supposons que cette longueur retirée soit représentée par la variable $x$.
Si nous bombons un côté, nous ajoutons une certaine longueur à ce côté. Supposons que cette longueur ajoutée soit également représentée par la variable $x$.
Si nous laissons un côté en l'état, sa longueur reste la même.

Pour chaque côté, nous avons donc les options suivantes:
- Option creusée: $l - x$
- Option bombée: $l + x$
- Option laissée en l'état: $l$

1) Pour la pièce ayant le plus petit périmètre, il faut choisir l'option avec la plus petite valeur pour chaque côté.
Donc, pour chaque côté, nous devons choisir entre $l - x$, $l + x$ et $l$, en fonction des valeurs de $x$.

2) Pour déterminer quelle pièce a le même périmètre que la pièce C, nous devons considérer les options choisies pour chaque côté de la pièce C.
Une fois que nous connaissons ces options, nous pouvons calculer le périmètre de la pièce C.
Ensuite, nous devons trouver quelle autre pièce a le même périmètre.

3) Pour trouver les pièces ayant une aire inférieure à l'aire de la pièce A, nous devons d'abord calculer l'aire de la pièce A.
Ensuite, nous devons comparer cette aire avec l'aire de chaque autre pièce pour identifier celles qui ont une aire inférieure.

Ex bonus:
Pour déterminer le nombre total de points sur les trois faces horizontales des dés que vous ne pouvez pas voir, nous devons examiner leur disposition et utiliser la règle de la somme des points sur des faces opposées.

Answer:
1) La détermination des pièces avec le plus petit périmètre dépend des options choisies pour chaque côté et nécessite des valeurs pour $l$ et $x$.
2) Pour nommer la pièce qui a le même périmètre que la pièce C, il faut connaître les options choisies pour chaque côté de la pièce C.
3) Pour nommer les pièces ayant une aire inférieure à l'aire de la pièce A, il faut connaître l'aire de la pièce A et comparer cette aire avec celle des autres pièces.
Ex bonus: Pour déterminer le nombre total de points sur les trois faces horizontales des dés invisibles, il faut examiner leur disposition et utiliser la règle de la somme des points sur des faces opposées.

Frequently asked questions (FAQs)
Question: "What are the x-intercepts of the quadratic function f(x) = x^2 - 5x + 6?"
+
What is the criteria for congruence between two triangles?
+
What is the maximum value of the function f(x) = x^3 - 2x^2 + 5x - 4 within the interval [-2, 4]?
+
New questions in Mathematics
Karina has a plot of 5,000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used for cultivation?
132133333-33
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
2x-4y=-6; -4y+4y=-8
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
How many anagrams of the word SROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
4x + 8y = 5 2x + 4y = 10
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
392929-9
A tree cast a shadow of 26 meters when the angle of evaluation of the sum is 24°. Find the height of the tree to the nearest meter
In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?
A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
Identify the slope and y intercept y=11+2/3x
A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.