Answer:
x = 132
Step-by-step explanation:
In a parallelogram,adjacent angles add to 180
Opposite angles are equal
I would say that the answer is A. Parallel because, the points are each the same distance away (horizontally) going by the little faded dots in the background
Answer:
The median is 2.65 seconds
Step-by-step explanation:
So the median is the middle number. First of all, we have to sort them into ascending order.
2.35, 2.38, 2.43, 2.65, 2.69, 2.78, 10,91.
Since this is median and not mean, we don't need to get rid of outliers / anomalies.
The middle number in that would be 2.65.
Tan 60 = GI / HG
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm
Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm
Regards,
ArmyCee:)
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
![V = x^2h cm^3](https://tex.z-dn.net/?f=V%20%3D%20x%5E2h%20cm%5E3)
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
![V = 2xh(dx/dt)+ x^2(dh/dt)](https://tex.z-dn.net/?f=V%20%3D%202xh%28dx%2Fdt%29%2B%20x%5E2%28dh%2Fdt%29)
Substituting the given values , we will get
[/tex]
![dV/dt = -288+144 = -144cm^3/min](https://tex.z-dn.net/?f=dV%2Fdt%20%3D%20-288%2B144%20%3D%20-144cm%5E3%2Fmin)
So at that moment, the volume is decreasing at the rate of
![144 cm^3/min](https://tex.z-dn.net/?f=144%20cm%5E3%2Fmin)