Answer:
Perimeter = 36.8 ft
Step-by-step explanation:
<u>Step 1: Add the straight sides together</u>
3+3+3+3+3+3 = 18 ft
<u>Step 2: Find the perimeter of the semi-circles</u>
The formula for the perimeter of semi-circle: 1/2 π × d
Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.
Now, 1/2π * 6 = 9.4 ft
But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft
<u>Step 3: Add all of them</u>
18 + 18.8 = 36.8 ft
Answer:
78
Step-by-step explanation:
If it is supplementary then they add up to 180, so you do 180-102 which equals 78. I hope this helps
Answer:
4.25
Step-by-step explanation:
To find the scale factor divide the image coordinates by the original coordinates, that is
scale factor = 
= 
= 4.25
Answer:
It is rational because if it was irrational it would be endless.
Step-by-step explanation:
The answer would be B 3.31227766071
Option B: ![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
is the new equation
Explanation:
The given equation is ![$y=-\sqrt[3]{x}$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx%7D%24)
We need to find the new graph which is shifted 7 units up and 4 units right.
First, we shall shift the graph 7 units up.
The general formula to shift the graph b units up is given by
Thus, to shift the graph 7 units up, let us substitute 
and ![f(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
in the general formula, we have,
![y=$-\sqrt[3]{x}$+7](https://tex.z-dn.net/?f=y%3D%24-%5Csqrt%5B3%5D%7Bx%7D%24%2B7)
Now, we shall shift the graph 4 units right.
The general formula to shift the graph b units right is given by
Thus, to shift the graph 4 units right, let us substitute 
and ![f(x)=$-\sqrt[3]{x}+7$](https://tex.z-dn.net/?f=f%28x%29%3D%24-%5Csqrt%5B3%5D%7Bx%7D%2B7%24)
in the above equation, we have,
Therefore, the new equation is
Therefore, Option B is the correct answer.
