Answer:
Hence when the radius is halved the area is divided by 4
2.5 inches^2
Step-by-step explanation:
Given data
Area= 10inches^2
We know that the expression for the area of a circle is given as
Area= πr^2
10= 3.142*r^2
10/3.142= r^2
r^2= 3.18
Square both sides
r= √3.18
r= 1.78 inches
Now let us half the radius and find the area of the new circle
r/2= 1.78/2
r= 0.89
Area of the new circle is
Area= 3.142*0.89^2
Area= 3.142*0.7921
Area= 2.5 inches^2
Ok, so you got the parent function y = x^2 and it changed to y = x^2 -8
#'s inside the parenthesis would move it left or right and #'s outside the parenthesis would move it up or down. Since there are no parenthesis the x coordinate is 0, hence it doesn't move left or right. Because of this we know that the graph will be moved up or down. Now we look to see is the # negative or positive. If negative, we move it down. If positive, we move it up. Looking at this problem, we see that it will move it down. Next look at the #. This will indicate how <em>much</em> you will move the graph. In this problem, we will move the graph down 8.
Therefore,
When you change the graph y = x^2 to y = x^2 -8, you are moving the graph down 8.
The mass of the elephant in grams is 7,100,000.
Explanation:
There are 1000 grams in one kilogram. To find out how many grams are in 7100 kilograms, we multiply 1000 and 7100 to get 7,100,000. Therefore, the answer is 7,100,000 grams.
Answer:
0.6154 or 61.54%
Step-by-step explanation:
The joint probability P(B′∪F) is given by the sum of each individual probability minus the intersection between both probabilities (red face cards).

The inverse probability of a card being black is also the probability of a card being red, which is 26 in 52. There are 12 face cards in a 52-card deck, 6 of which are not black, therefore:

OK once you do the math and find the volume of the cone it comes out to 150.8
and the cylinders volume comes out to 301.6 the relationship between them is that the the cones volume is 2x smaller than the cylinders volume so two cones would equal one cylinder.