Answer
If d equals diameter the radius is 9
Step-by-step explanation:
Answer:
The answer to your question is 7
Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
The total surface area of the given pyramid is:
A = 39ft²
<h3>
How to get the surface area of the given figure?</h3>
The total surface area will be equal to the sum of the areas of the square and the 4 triangles.
Remember that for a square of side length S, the area is:
A = S².
In this case, S = 3ft, then:
A = (3ft)² = 9ft².
Now, the area of a triangle of base B and height H is:
A = B*H/2.
Here we can see that the triangles have a base of 3ft (the sides of the square) and a height of 5ft, then the area of each triangle is:
A = (3ft)*(5ft)/2 = 7.5 ft²
Then the total area of the figure is:
A = 4*(7.5 ft²) + 9ft² = 39ft²
If you want to learn more about pyramids:
brainly.com/question/10042135
#SPJ1
Answer:
see below for drawings and description
Step-by-step explanation:
For geometry problems involving translation, rotation, and reflection—transformations that change location, but not size ("rigid" transformations)—it might be helpful for you to trace the image onto tracing paper or clear plastic so that you can manipulate it in the desired way. Eventually, you'll be able to do this mentally, without the aid of a physical object to play with.
For the images attached here, I copied the triangle onto a piece of clear plastic so I could move it to the desired positions. The result was photographed for your pleasure.
__
a. Translation means the image is moved without changing its orientation or dimensions. You are asked to copy the triangle so that the upper left vertex is moved to what is now point E. See the first attachment.
__
b. Reflection means the points are copied to the same distance on the other side of the point or line of reflection. Just as an object held to a mirror has its reflection also at the mirror, any points on the line of reflection do not move. Reflection flips the image over. See the second attachment.
__
c. Rotation about point D means point D stays where it is. The angle of rotation is the same as the angle at D, so the line DE gets rotated until it aligns with the line DF. The rest of the triangle maintains its shape. See the third attachment.