Answer:
277.15 yds
Step-by-step explanation:
Answer:
The correct answer is
Step-by-step explanation:
Snow cone holders are sold in sleeves of 50.
The cones have a slant height (l) of 5 inches and a radius (r) of 3 inches.
Surface area of each cone holder = π × r × l = π × 15 = 15π square inches.
Surface area of all 50 cones in the sleeve = 15π × 50 = 750π = 2357.143 square inches.
Thus 2357.143 square inches pf paper would be necessary for each sleeve each having 50 cone holders.
Answer:
![(x-1)^2+(y-2)^2=6.25](https://tex.z-dn.net/?f=%28x-1%29%5E2%2B%28y-2%29%5E2%3D6.25)
Step-by-step explanation:
The equation for a circle is given by:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Let (1,2) be <em>x₁ </em>and <em>y₁ </em>and let (2.5,4) be <em>x₂ </em>and <em>y₂. </em>Therefore:
![d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282.5-1%29%5E2%2B%284-2%29%5E2%7D%5C%5Cd%3D%5Csqrt%7B%281.5%29%5E2%2B2%5E2%7D%5C%5Cd%3D%5Csqrt%7B2.25%2B4%7D%5C%5Cd%3D%5Csqrt%7B6.25%7D%3D2.5)
Thus, r is 2.5.
Plugging these numbers into the equation, we have:
![(x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%5C%5C%28x-1%29%5E2%2B%28y-2%29%5E2%3D2.5%5E2%5C%5C%28x-1%29%5E2%2B%28y-2%29%5E2%3D6.25)
Answer:
(x-5)(x+4)
Step-by-step explanation:
hope it helps
Answer:
the answer is 120.6 (:
Step-by-step explanation: