Answer:
The scale factor of the sides of the Octagon is 2:5
Step-by-step explanation:
Both these octagons can be considered as the combination of 8 similar triangles joined edge to edge.
We know this property of similar triangles, that the ratio of area of similar triangles is proportion to the square of the ratio of sides of the similar triangle.
From the above property, we plug in the values
Therefore, the ratio of the sides of the Octagon are 2:5.
An estar escrito en la forma n / 1. Por ejemplo, 5 = 5/1 y, por tanto, 5 es un número racional. Sin embargo, números como 1/2, 45454737/2424242 y -3/7 también son racionales, ya que son fracciones cuyo numerador y denominador son números enteros.
Espero que esto te ayude
6x - 3y = 12
3y = 6x -12
y = 2x -4
slope = 2
The absolute value transforms a negative number into a positive number.
For example
Let z be a real number, then:
| z | It will always be a positive number.
This means that:
If z is a negative number, then:
| z | = -z
If z is a positive number, then:
| z | = z
This means that for the expression the expression y = 2 | x-3 | +5
When x-3 > 0 then:
| x-3 | = x-3
When x-3 < 0 then:
| x-3 | = - (x-3)
Then we can divide the expression into two functions f (x) and g (x).
f (x) = 2 (x-3) +5
f (x) = 2x-6 + 5
f (x) = 2x-1
For
g (x) = 2 (-x + 3) +5
g (x) = -2x + 6 + 5
g (x) -2x +11
For
(x-3) < 0
x < 3
The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is
. Notice the "2*pi*r" which is the circumference formula. The area of a sector is
. Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly,
. Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly,
, and
. When you multiply in the value of pi, you get that your area is 169.65 in squared.
