Answer:
20/3
Step-by-step explanation:
5/k=15/20
5/k=3/4
5 x 4/3 = k
k=20/3
So a palindrome is a word or number that spells the same thing forwards and backward (e.g. tacocat, racecar, 101, 262) Palindrome years occur every 110 years (except at the end of the millennium, in which it is only 11 years). The last one happened in 2002, so the next one won't occur until 2112. Maybe some of us will live to see it!
<span>4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6
is false because it isn't even true when n=1.
4 ⋅ 6 = 4(4*1+1)(8*1+7)/6
24 = 4(5)(15)/6
24 = 50
Also 4n(4n+2) is not even the correct formula
for the nth term. The correct nth term formula
of 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ...
is (n+3)(n+5). So it's wrong all the way around.</span>
I'm pretty sure the answer is C. Factorial.
Answer:
C
Step-by-step explanation:
The reason we can use this method is because we are given a composite figure with a house shape with one triangle on top. We can use the guidance of the dotted lines to make out that a rectangle can be used to find the figure. We can see that apart from the figure, there are two congruent triangles. To find the area we would do -
First find the missing height of the smaller triangles. We would use the pythagorean theorem to find that the missing height is√5
We could do 8(4) = 32 to find the area of the rectangle.
Then, we could do 2√5/2 to find one missing triangle. We could then add the triangles to find the measures of the combined triangles as 2√5. Then, we could do 32 - 2√5 to find the area as 27.5.
Hope this helps :)
