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nasty-shy [4]
4 years ago
5

Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante

al primero si su hipotenusa mide 15m?
Mathematics
1 answer:
OlgaM077 [116]4 years ago
5 0

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.

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vazorg [7]

Answer:

14 boys

Step-by-step explanation:

4/4-3/4=1/4 which is the fraction of boys then do 1/4x56=14 which gives you the actual number of boys going.

4 0
4 years ago
If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?
Gwar [14]

Answer:

Less than.

Step-by-step explanation:

I have included the explanation in bullet points so it is easier to understand.

We don't even need to solve the problem in order to find out.

  • We know that any number times one is itself
  • We know that any number times less than one would be less than itself.
  • In order to get a product more than 6/10 we would need to multiply it by something more than 1.
  • 2/3 is not more than one, which means the product would be less than 6/10

Hope this helps!

--Appleπ101

4 0
3 years ago
The length of a rectangle is 5 yd more than double the width, and the area of the of the rectangle is 42 yd to the second power
yanalaym [24]

Answer:

The answer to your question is l = 12 and w = 7/2 or 3.5

Step-by-step explanation:

Data

length = l

width = w

Area = 42 yd²

Process

1) Write equations that help to solve this problem

Area = length x width = l x w

Length = 2width + 5  or   l = 2w + 5

2) Substitution

                       42 = lw                               Equation l

                          l = 2w + 5                        Equation ll

                       42 = (2w + 5)w                   Substitute equation ll in l

3.- Expand

                       42 = 2w² + 5w

                       2w² + 5w - 42 = 0

Solve the equation by factoring

-Multiply 2 by 42

                             2 x 42 = 84

-Find the prime factors of 84

                         84 = 2² 3 7

-Find two numbers that added gives +5 using the prime factors

 These numbers are +12 and -7    

-Substitute the values in the equation

                         2w² -7w + 12w - 42

-Factor by grouping

                        w(2w - 7) + 6(2w - 7)                  

                           (2w - 7)(w + 6)

-Find w

                    2w₁ - 7 = 0             w₂ + 6 = 0

                      w₁ = 7/2               w₂ = -6   This value is discarted because

                                                                  there are no negative values

-Find l

                     l = 2(7/2) + 5

                     l = 7 + 5

                     l = 12

7 0
3 years ago
Plz help will be marked BRAINLIEST
Simora [160]

Answer:

10 inches

Step-by-step explanation:

7 0
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Step-by-step explanation:

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