Multiply everything in parenthesis by the 1/6 ,. you get 3x-4
Make a proportion of the diameter over the circumference.
185 feet / 580 feet = x / 10 feet
580x=1850
x= about 3.2
Diameter= about 3.2 feet
Hope this helps :)
Answer:
Step-by-step explanation:
Cylinder of radius r and height h:
Lateral area = 2πrh
Area of end face = πr²
Surface area = 2πrh + 2πr²
Volume = πr²h
Cone of base radius r and height h:
Slant height L = √(r²+h²)
Lateral area = πrL
Base area = πr²
Surface area = πrL + πr²
Volume = πr²h/3
Answer:
<em>Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.</em>
Step-by-step explanation:
<u>Transformations</u>
The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.
There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.
Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.
Testing the rest of the points we get the same result, thus the transformations are:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
The theoretical probability is what is expected based on using math. Since there is only one card that is number 1, and there are 400 possible outcomes, then the theoretical probability is 1/400 which is 0.25%.
Now find the experimental probability by find the number of times card 1 is picked, and the number of cards in total. 128/400 = 0.32 which is 32 percent.
The experimental probability is higher than the theoretical probability.
Hope this helps