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yawa3891 [41]
3 years ago
14

el valor del punto px que divide con razon de 1/4 al segmento AB considerando los puntos A (3,1) y D(8,9)

Mathematics
1 answer:
vitfil [10]3 years ago
3 0

Answer:

(4, 13/5)

Step-by-step explanation:

Aquí, estamos encontrando el punto que divide el segmento en 1/4

supongamos que tenemos la proporción 1: 4 como a: b

Matemáticamente, el punto que divide el segmento será;

Coordenada x = (bx1 + ax2) / (a ​​+ b)

donde (x1, x2) = (3,8)

Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4

Coordenada y = (by1 + ay2) / (a ​​+ b) donde (y1, y2) = (1,9)

Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5

Por lo tanto, las coordenadas del punto es (4,13 / 5)

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52 regular playing cards are randomly dealt to four players with each players receiving 13 cards. What is the probability that e
Vadim26 [7]

Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

7 0
3 years ago
What is the measurement of the angle
Vadim26 [7]
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3 years ago
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
2 years ago
Find the measure of angle 3.
Iteru [2.4K]

Answer:

B. 45

Step-by-step explanation:

If im wrong please let me know

Have a nice day :)

8 0
3 years ago
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Tamiku [17]

12.56

Step-by-step explanation:

A = π x r^2

r =2

2^2 = 4

π × 4 = 12.56

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2 years ago
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