Answer:
10 tiles
Step-by-step explanation:
4 feet 2 inches = 50 inches
50/5 = 10 tiles
Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie., and common difference=D
The nth term can be written as
pth term of given arithmetic progression is a
qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c
We have to prove that
Now to prove LHS=RHS
Now take LHS
ie.,
Therefore
ie.,
Hence proved
Answer:
you have to look at the chart and use the chart to answer the questions at the botttom
Step-by-step explanation:
Answer:
Step-by-step explanation:
The base of the pyramid we need to study is a hexagon.
Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.
Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")
Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.
We know the area of a triangle is the product of its base times its height, divided by 2:
We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures , so replacing this value in the formula above for the area of one of the triangles:
Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):
Area of hexagon =
which is the last option given in the list.