Answer:
55 cm^2
Step-by-step explanation:
Find the area of the large rectangle
A = l*w = 9*7 = 63 cm^2
Then find the area of the unshaded rectangle
A = l*w = 4*2 =8cm^2
Subtract the unshaded area from the large rectangle
63 - 8 =55 cm^2
The shaded area is 55 cm^2
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
<span>In the given problem, a
person who goes fishing comes back with five fish. The given data is five fish which is
numerical. This type of data is called discrete data. Discrete data can be
numeric such as the number of fish in the problem. It can also be by category
like what kind of fish the person got.</span>
Answer:
Step-by-step explanation:
![\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Csqrt%7B2%7D%20-%20%5Csqrt%7B3%7D%20%7D%20%20%2A%20%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%20%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%20%2B%20%5Csqrt%7B3%7D%20%7D)
![\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Csqrt%7B2%7D%20%2B%206%5Csqrt%7B3%7D%20%7D%7B2-3%7D)
![-6(\sqrt{2} + \sqrt{3} )](https://tex.z-dn.net/?f=-6%28%5Csqrt%7B2%7D%20%2B%20%5Csqrt%7B3%7D%20%29)
Keep change flip so 5/8 * 3/2