The order is: 9.036, 9.535, and 9.982.
Step-by-step explanation:
It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.
<u>Let me define the each terms.</u>
1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.
2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.
Similarly,
- There is 8 angle in a regular octagon and each angle measurement is 135°.
So, sum of the angles of an octagon = 135° × 8
Sum of the angles of an octagon = 1080°
Therefore, the required sum of the angles of an octagon is 1080°
The third one is correct.....so go for it without hesitation
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
6 3/4=6*4+3/4=24+3/4=27/4
z/12=27/4
4z=27*12
4z=324
z=81
