First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
There are three of these triangles, so the area of the whole polygon is
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is
Answer:
B.14
Step-by-step explanation:
The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.
Step-by-step explanation:
Given,
A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.
The price of a hot dog is $1.25 more than the price of a bag of potato chips.
The cost of a soft drink is $2.75 less than the price of two hot dogs.
To find the cost of each item.
Let,
The price of chips = x
The price of a hot dog = x+1.25
Price of two hot dog = 2(x+1.25) = 2x+2.5
The price of a soft drink = 2x+2.5-2.75 = 2x-0.25
Now,
According to the problem,
4(x+1.25)+3x+4(2x-0.25) = 15.25
or, 15x+5-1 = 15.25
or, 15x = 11.25
or, x = 0.75
Hence,
The price of chips = $ 0.75
The price of a hot dog = $ 0.75+1.25 = $ 2
The price of a soft drink = $ 2×0.75-0.25 = $ 1.25
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
The first one is the answer to the first question.
the second one is the answer to the second question
