1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Feliz [49]
1 year ago
12

Una persona asegura que su casa tiene forma rectangular y que el perímetro de la misma es de 18 m y que además, su área es de 21

m^2. Demuestra que la persona estaba mintiendo.
Mathematics
1 answer:
leva [86]1 year ago
4 0

Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>

Considerando que las dimensiones son l y w, hay que:

  • El perímetro es: P = 2(l + w).
  • El área es: A = lw.

El <u>perímetro es de 18 m</u>, o sea:

2(l + w) = 18

l + w = 9

l = 9- w.

El <u>área es de 21 m²</u>, o sea:

lw = 21

(9- w)w = 21

-w² + 9 - 21 = 0

w² - 9w + 21 = 0

El discriminante es dado por:

D = 9² - 4 x 1 x 21 = -3.

El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963

#SPJ1

You might be interested in
Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams , of cheese. How much cheese
VladimirAG [237]

Answer:

The recipe originally required 50 grams of cheese.

Step-by-step explanation:

1.6x=80

x=50

3 0
3 years ago
What is the surface area of the triangular prism? A. 13 in.2 B. 36 in.2 C. 78 in.2 D. 84 in.2
NISA [10]
Answer :36in2


example:
my math teacher told me
4 0
3 years ago
find the coordinates of the points D ( 4, -4 ) and E ( 5, -5 ) after the transformation ( x; y ) ( x + 3, y -5
postnew [5]

Answer:

second option

Step-by-step explanation:

Given the rule

(x, y ) → (x + 3, y - 5)

This means add 3 to the original x- coordinate and subtract 5 from the original y- coordinate, that is

D(4, - 4 ) → D'(4 + 3, - 4 - 5 ) → D'(7, - 9 )

E(5, - 5 ) → E'(5 + 3, - 5 - 5 ) → E'(8, - 10 )

7 0
3 years ago
a photo album contains small and large photographs. Each large photograph has side lengths that are twice the side lengths of ea
zysi [14]
Take the area of the small photograph and divide it by four, assuming it's a square, each side would then be 6 inches. The large photograph has double the side length of the small one, so 6 multiplied by 2 is 12. To find the area of the large (square) photograph, multiply 12 by 12 as two of the sides, and the area of the large photo is 144 square inches
4 0
2 years ago
Read 2 more answers
an Carlos County Health Department reported 17 new cases of tuberculosis in the first half of 2001 and 18 additional cases durin
Tpy6a [65]

Answer:

San Carlos County

Step-by-step explanation:

a) Data and Calculations:

Number of cases of tuberculosis reported in the first half of 2001 = 17

Number of cases of tuberculosis reported in the second half = 18

Total number of cases reported = 35 (17 + 18)

Population of the county at the beginning of 2001 = 204,500

Population of the county at the end of the year = 215,000

Average population for the year = 209,750 (204,500 + 215,000)/2

Therefore, the incidence rate of tuberculosis in the county = 35/209,750 * 100

= 0.000167

b) Since the incidence rate is <1, it suggests that the population of San Carlos County is at a very reduced risk of exposure to tuberculosis.  This means that only 1 in 6,000 (209,750/35) people are exposed to the disease in the county.

5 0
2 years ago
Other questions:
  • Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula.
    14·2 answers
  • Two thirds of a number decreased by six is two. what is the number?
    10·1 answer
  • How can you use a graph to check a factorization?
    7·1 answer
  • X^4+x^5/x^3
    5·1 answer
  • Given that F(x) =x^2+2, evaluate F(2)
    13·1 answer
  • Which choice shows a function with a domain of {–4, –2, 2, 4}? On a coordinate plane, a vertical line is at x = 2. On a coordina
    7·1 answer
  • Add<br> -51 + (-16) -<br> a : - 67 <br> b : 35<br> C : 67 <br> D : - 35
    11·1 answer
  • Please help quick! i’ll mark brainlist
    6·1 answer
  • The waves created by two speed boats in a lake interact to form larger waves. This is an example of
    6·2 answers
  • Luis has some nickels, dimes, and quarters. The value of all of the coins, in cents, is represented with the expression shown.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!