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kari74 [83]
2 years ago
10

Match the reasons with the statements in the proof.

Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer:

my

Step-by-step explanation:

yo

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An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measure
AleksandrR [38]

Answer:

  • There are two solutions:
  • B = 58.7°, C = 82.3°, c = 6.6 cm
  • B = 121.3°, C = 19.7°, c = 2.2 cm

Step-by-step explanation:

You are given a side and its opposite angle (a, A), so the Law of Sines can be used to solve the triangle. The side given is the shorter of the two given sides, so it is likely there are two solutions. (If the given side is the longer of the two, there will always be only one solution.)

The Law of Sines tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

Of course, the sum of angles in a triangle is 180°, so once you find angle B, you can use that fact to find angle C, thus side c.

The solution process finds angle B first:

  B = arcsin(b/a·sin(A)) . . . . . . or the supplement of this value

then angle C:

  C = 180° -A -B = 141° -B

finally, side c:

  c = a·sin(C)/sin(A)

___

A triangle solver application for phone or tablet (or the one on your graphing calculator) can solve the triangle for you, or you can implement the above formulas in a spreadsheet (or even do them by hand). Of course, you need to pay attention to whether the functions involved give or take <em>radians</em> instead of <em>degrees</em>.

8 0
3 years ago
Ayuda!!! no entiendo lo necesito con procedimiento y cuentas porfavor es urgente !??!!!​
antiseptic1488 [7]

Answer:

1- El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- El 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

Step-by-step explanation:

1- Dado que en dos localidades hay habitantes que hablan una lengua distinta al español, de las cuales en El Cerrito son 3 de cada 4 mientras que en El Paseo son 5 de cada 7, para determinar en cuál de las dos localidades hay un número mayor de hablantes de una lengua distinta al español, y determinar la diferencia entre ambas localidades, se deben realizar los siguientes cálculos:

4 = 100

3 = X

3 x 100 / 4 = 75

7 = 100

5 = X

5 x 100 / 7 = 71.42

Por lo tanto, en El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- Dado que en una escuela del poblado El Cerrito, 18 de los 30 alumnos del grupo 6ºA aprobaron el examen de matemáticas, mientras que en el grupo 6ºB lo hicieron 32 de los 40 alumnos, para determinar qué grupo obtuvo mejores resultados y cuál es la diferencia entre ambos grupos se deben realizar los siguientes cálculos:

30 = 100

18 = X

18 x 100 / 30 = 60

40 = 100

32 = X

32 x 100 / 40 = 80

Por lo tanto, el 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

7 0
3 years ago
20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work
Brums [2.3K]
For the 8 men to finish the work it would take 16.76 days to finish the piece of work
6 0
2 years ago
Solve for nnn. 2-2n=3n+172−2n=3n+172, minus, 2, n, equals, 3, n, plus, 17 n=n=n, equals
velikii [3]
What does n equal? if you can tell me i can help more
8 0
3 years ago
Some boys and girls are waiting for school buses. 25 girls get on the first bus. The ratio of boys to girls at the stop is now 3
Molodets [167]

Answer:

100

Step-by-step explanation:

Forming algebraic equations and solving:

Let the number of boys originally  at the stop = 'x'

Let the number of girls originally at the stop = 'y'

25  girls get on the first bus.

⇒ The number of girls now at the stop = y -25

Ratio of boys to girls:

        \sf  \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------(I)

15 boys get on the second bus.

Now, the number of boys at the stop = x - 15

Number of girls at the stop = y - 25

Ratio of boys to girls,

     \sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\

             x = y -25 + 15

             x = y - 10

Plugin x = y - 10 in equation (I)

          2*(y-10) = 3y -75

          2y - 20  = 3y -75

                -20 = 3y - 75 - 2y

                -20 = y -75

         -20 +75 = y

                 \sf \boxed{\bf y = 55}

Plugin y = 55 in equation (I)

       x = 55 -10

        \sf \boxed{\bf x = 45}

Number of students originally at the stop = x + y

                                                                     = 55 + 45

                                                                     = 100

4 0
2 years ago
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