Answer:
7.1ft
Step-by-step explanation:
The formula for calculating the total surface area of a cube is 2(L²+L²+L²)
=2(3L²)
= 6L²
Where L is the length of the cube
If the total surface area of a cube is 302.46ft², then
302.46 = 6L²
L² = 302.46/6
L² = 50.41
L =√50.41
L = 7.1ft
The length of the side of the cube is 7.1ft
Answer:
No
Step-by-step explanation:
Because it is not going up by the same amount everytime
Answer:
(x - 8)² + (y - 10)² = 36
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k) </em>is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>(h, k)</em> = (8, 10)
<em>r</em> = 6
<u>Step 2: Find Equation</u>
- Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²
- Evaluate exponents: (x - 8)² + (y - 10)² = 36
Answer:-7d=13
7d=-13
d=-13/7
Step-by-step explanation:
Hope this helps!
Make sure to apply same operations to both sides.
Answer: The slant height of the cone is 65.6 m
Step-by-step explanation:
Given: The diameter of a cone = 10 m
Surface area of cone = 190.6 m²
To find: Slant height
Diameter of cone = 10 m
Therefore Radius of cone = ![\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%20%7BDiameter%20%7D%7D%7B2%7D%20%3D%20%5Cdfrac%7B10%7D%7B2%7D%20%3D5m)
As we know that surface area of a cone is given by
![S.A. = \pi r(l+r)](https://tex.z-dn.net/?f=S.A.%20%3D%20%5Cpi%20r%28l%2Br%29)
Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.
Let Slant height = l
So we have
![190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6](https://tex.z-dn.net/?f=190.6%20%3D%20%5Cdfrac%7B22%7D%7B7%7D%20%5Ctimes%205%20%28%205%2Bl%29%5C%5C%5C%5C%5CRightarrow%20%205%2Bl%3D%20%5Cdfrac%7B190.6%20%5Ctimes%207%7D%7B22%7D%5C%5C%5C%5C%5CRightarrow%20l%3D%20%20%5Cdfrac%7B1334.2%7D%7B22%7D%2B5%5Capprox%2060.64%2B5%20%3D%2065.64%5Capprox65.6)
Hence the slant height of the cone is 65.6 m