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.
A Point is needed to define a circle
Hope this helps!!!
Answer:
Step-by-step explanation:
Our function is : 3x²-3x-1
- 3x²-3x+2=2
- 3x²-3x-1+3=2
- 3x²-3x-1= -1
- the number that gives us -1 is 1 (from the graph)
so x is 1
- 3x²-3x-1= x+1 ⇒3x²-4x-2 = 0
- Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
- two solution x and y
- x= (4-√40)/6 and y= (4+√40)/6
- x= -0.38 and y = 1.7
- so the estimations are -0.38 and 1.7
Answer:
a.) 1908.30
b.) 96373.15
c.)302491.15
unrounded answers below
Step-by-step explanation:
The amount that is to be loaned out is 380000-110000=270000
The effective montly rate is .07/12=.005833333
a.)
b.)
use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)
c.)
total paid= 1908.303833*12*25=572491.1499
amount of loan: 270000
Total interest paid:
572491.1499-270000=302491.1499
Answer:
x=√40
Step-by-step explanation:
In above figure,
h=7
b=3
p=x=?
Now,
by Pythagoras theorem,
