Answer:
y² = 9² + 19² - 2(9)(19)Cos (41°)
Step-by-step explanation:
Triangle X Y Z is shown.
The length of X Y is 9,
the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
Law of cosines is given as:a²= b² + c² – 2bccos(A)
Applying this to Triangle XYZ, and since we are Solving for y
y² = x² + z² - 2xzCos Y
The length of X Y = x is 9,
the length of Y Z = y is 19
y²= 9² + 19² - 2(9 × 19)Cos (41°)
= y² = 9² + 19² - 2(9)(19)Cos (41°)
Option d is correct
Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.
<h3>Cómo construir un diagrama a partir de un enunciado</h3>
En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.
Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.
Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.
A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.
Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/10092453
Answer:
8 pieces of wood should be put along each side of the chessboard
Step-by-step explanation:
Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.
Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood
Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood
64 pieces of wood would be needed to complete the cheeseboard.
The number of pieces to put along each side of the cheese board will be √64.
This is because the shape of a chessboard is square.
Thus the number of pieces to put on each side will be √64 = 8
Answer:
The angles formed on line b when cut by the transversal are congruent with ∠2 are 
Step-by-step explanation:
Consider the provided information.
If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .
The angles on the same corners are called corresponding angle.
Alternate Angles: Angles that are in opposite positions relative to a transversal intersecting two lines.
∠2 and ∠6 are corresponding angles
Therefore, ∠2 = ∠6
∠2 and ∠7 are alternate exterior angles
Therefore, ∠2 = ∠7
Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are 