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.
Answer:
Equation: 6f = 5
Result: 6/5 cup of flour is needed for each batch of bread
Step-by-step explanation:
Given
6 cups of flour makes 5 batches of bread
Required
His much flour is needed for each batch.
Let f represent a cup of flour.
The statement "total of 6 cups of flour to make 5 batches of bread." means that
f + f + f + f + f + f = 5 batches of bread
f * 6 = 5
6f = 5
The above equation will give the number of cup needed for 1 batch of bread.
To do that, we simply divide both sides by 5
6f/5 = 5/5
6f/5 = 1
Hence,
The equation is represented by: 6f = 5
And the result is: 6/5 cup of flour is needed for each batch of bread
Answer:
X= 18; Y=15
Step-by-step explanation:
As a student myself working this out I cannot explain how I got the answer but I know it is correct.
Answer: $2421.95
Step-by-step explanation:
A = p(1 + r/n) ^nt
A= 2000(1+0.024/4)^4x8
A= 2421.95
Answer:
Step-by-step explanation:
x and 6
6^2 is 36
x^2 is still x^2
now we need to find the square root of their sum
square root of ( 36 + x^2 )
I'm not that sure about this one i think it might be more simplified
