Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
32.54=4.313805+0.3012446(x)
x=
x= 93.698592439499
1/28. The probability that both songs are rock songs is 1/28.
The easiest way to solve this problem is using probability.
This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).
The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.
The probability that both songs are rock song is:
P(A∩B) = P(A)*P(B)
P(A∩B) = (2/8)(1/7) = 2/56
P(A∩B) = 1/28
The greatest common factor of 30, 60, and 75 is 15.
15 x 2 = 30
15 x 4 = 60
15 x 5 = 75
for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. So:
Answer:
