Answer:
all work is shown and pictured
Answer:
20
Step-by-step explanation:
The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is
30 m + 40 m = 70 m
Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.
a^2 + b^2 = c^2
Let the legs of the right triangle be a and b. Let the hypotenuse be c.
(30 m)^2 + (40 m)^2 = c^2
900 m^2 + 1600 m^2 = c^2
c^2 = 2500 m^2
Take the square root of each side.
c = 50 m
The direct path from the school to the house is 50 m.
Difference: 70 m - 50 m = 20 m
Answer: You save 20 m.
I did it out on paper if you needed to show work. But y is -1 and x is 1
Answer:
El precio de la entrada al cine es de <em>$56</em>
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: <em> Precio total de las palomitas dos veces por semana = Precio de la entrada a cine</em>.
To solve this equation, we have to isolate the variable f, or get it alone on one side of the equation.
1/7f - 5 1/2 = 9/14
To do this, we need to add 5 1/2 to both sides of the equation to 1) cancel out the - 5 1/2 on the left side of the equation, and 2) maintain equality both sides of the equation.
1/7f - 5 1/2 + 5 1/2 = 9/14 + 5 1/2
1/7f = 6 2/14
Next, we have to divide both sides by 1/7, to get rid of the coefficient of f on the left side of the equation.
1/7f ÷ 1/7 = 6 2/14 ÷ 1/7
f = 43
Therefore, the the value of f is 43.
