Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:
![Fencing=\frac{2\pi r}{2}+2l+w](https://tex.z-dn.net/?f=Fencing%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%7D%2B2l%2Bw)
Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:
![r=\frac{7ft}{2}=3.5ft](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7ft%7D%7B2%7D%3D3.5ft)
Then, substituting values (and using
), we get:
![Fencing=\frac{2(\frac{22}{7})(3.5ft)}{2}+2(14ft)+7ft=46ft](https://tex.z-dn.net/?f=Fencing%3D%5Cfrac%7B2%28%5Cfrac%7B22%7D%7B7%7D%29%283.5ft%29%7D%7B2%7D%2B2%2814ft%29%2B7ft%3D46ft)
Answer:idek where to start
Step-by-step explanation:
u forgot a lil information there buddy
if its the middle
ima say 100 other than that add more info next time
Answer:
The Third option is correct 9 .
Therefore the distance between the points given. (-10, 3) and (-10, 12) is
9 units.
Step-by-step explanation:
Given:
Consider,
point A( x₁ , y₁) ≡ ( -2 ,-2 )
point B( x₂ , y₂) ≡ ( 4 , -10 )
To Find:
Distance between AB = ?
Solution:
Distance Formula between Two point is given as
![l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}](https://tex.z-dn.net/?f=l%28AB%29%20%3D%20%5Csqrt%7B%28%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%20%29%7D)
Substituting the values we get
![l(AB) = \sqrt{((-10-(-10))^{2}+(12-3)^{2} )}](https://tex.z-dn.net/?f=l%28AB%29%20%3D%20%5Csqrt%7B%28%28-10-%28-10%29%29%5E%7B2%7D%2B%2812-3%29%5E%7B2%7D%20%29%7D)
![l(AB) = \sqrt{((-10+10))^{2}+(9)^{2} )}](https://tex.z-dn.net/?f=l%28AB%29%20%3D%20%5Csqrt%7B%28%28-10%2B10%29%29%5E%7B2%7D%2B%289%29%5E%7B2%7D%20%29%7D)
![l(AB) = \sqrt{(0)^{2}+81}\\l(AB)=\sqrt{81}=9\\l(AB)=9\ unit](https://tex.z-dn.net/?f=l%28AB%29%20%3D%20%5Csqrt%7B%280%29%5E%7B2%7D%2B81%7D%5C%5Cl%28AB%29%3D%5Csqrt%7B81%7D%3D9%5C%5Cl%28AB%29%3D9%5C%20unit)
Therefore the distance between the points given. (-10, 3) and (-10, 12) is
9 units.