Answer:
The surface area of given figure = 264 cm²
Step-by-step explanation:
From the given figure we can see that, a square pyramid mounded on a cube
The side of cube = 6 cm
Base of pyramid is one face of cube.
Slant height of pyramid = 7 cm
Total surface area = (5 * one face of cube ) + (lateral surface area of pyramid)
<u>To find the total surface area</u>
lateral surface area of pyramid = 4 * one face area of pyramid
One face area of cube = side² = 6² = 36
One face area of pyramid = bh/2 = (6 * 7)/2 = 21 cm²
Lateral surface area of pyramid = 4 * 21 = 84 cm²
Surface area = (5 * 36) + (84) = 264 cm²
Therefore surface area of given figure = 264 cm²
55/100 or 11/20
Since 55% is 55/100 as a fraction. then at it's simplest form it's 11/20.
Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
Okay, to find length CE, your going to know the value of <em>x</em>. Length BC + CE = BD + DE.
3x+47+x+26=27+x+10
Simplify the equation to get
4x+73=37+x
you can choose one of four ways to continue, but I will choose to subtract x
3x+73=37
Subtract 73 from both sides of the equal sign
3x=-36
divide by 3 on both sides of the equal sign to get the value of x
x=-12
Now, plug in -12 for x in length CE to get -12+26=14
