Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor
dinate plane as kites BRAD and KELY, respectively:
Which statement is correct about the two kites?
A. They are similar because BR : DB is 1 : 3 and KE : YK is 1 : 3
B. They are similar because BR : DB is 1 : 2 and KE : YK is 1 : 2
C. They are not similar because BR : DB is 1 : 2 and KE : YK is 1 : 3
D. They are not similar because BR : DB is 1 : 3 and KE : YK is 1 : 2
Which statement is correct about the two kites?
A. They are similar because BR : DB is 1 : 3 and KE : YK is 1 : 3
B. They are similar because BR : DB is 1 : 2 and KE : YK is 1 : 2
C. They are not similar because BR : DB is 1 : 2 and KE : YK is 1 : 3
D. They are not similar because BR : DB is 1 : 3 and KE : YK is 1 : 2
2 answers:
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Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where is the first term,
is the nth term, and
is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do
, which is
, or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
Answer:
1/2
Step-by-step explanation:
Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.
With this information we can use the respective volume formulas.
Hemisphere: πr^3
Cone: πhr^2
Since h (height) = r we can say the cone volume equals:
πr^3
Now to find the ratio we divide the cone volume equation by the hemisphere volume equation
pi and r^3 cancels out from the division and we are left with
ratio = (1/3)/(2/3)
ratio = 1/2
