Answer:
dA/dt = 169,56 in²/min
Step-by-step explanation:
We have a circular puddle and its area is:
A = π*r² (1) r is the radius of the circular puddle
Differentiating on both sides of the equation we get:
dA/dt = π*2*r*dr/dt (1)
In that expression we know
r = 9 inches and dr/dt = 3 in/min. Therefore plugging these values in equation (1)
dA/dt = π*2*9*3
dA/dt = 169,56 in²/min
Answer:
1-
2X + 3Y = 330
2-
X + Y + Z = 3890
3-
1/3X + 2/3X = X
4-
X + Y = 27
Step-by-step explanation:
Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:
1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.
Panchos = X
Hamburguesas = Y
2X + 3Y = 330
2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.
Luz = X
Agua = Y
Cable = Z
X + Y + Z = 3890
3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.
Esposa = 2/3X
Hijo = 1/3X
1/3X + 2/3X = X
4- En el salón de clase hay 27 alumnos entre mujeres y varones.
Mujeres = X
Varones = Y
X + Y = 27
Answer:
B.
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴ is the additional fact needed to prove
Hope this helps :)
Hey there!
The answer is 110.5 square mm.
The formula for a triangle is base times height divided by two. So, we take the base (17) times the height (13) divided by two (2):
Have a super awesome day! :)
Use the distributive property to multiply −2 by x+1.
Combine 7x and −2x to get 5x.
Subtract 6x on both sides.
Combine 5x and −6x to get −x.
Add 2 to both sides.
Add 14 and 2 to get 16.
Multiply both sides by −1.
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