5.7 is the answer because if one side is 7.9 the parallel is the same a rectangle. The is you add those, you get 15.8. The equation now is 15.8+x=27.2. 27.2-15.8 is 11.4 which is then divided to find the two sides which makes them 5.7.
To solve take circumference of the lamp shade( 2pi(r) or pi(d) ) so circumference is 12pi.
Then multiple by hight or altitude to get surface area ( circumference x height)
SA =72pi or ~226.19 in^2
If you are putting material on the top of lamp to, add pi(r)^2 or 36pi= ~113.10 in^2
Answer:the awnser is A
Step-by-step explanation: When you see the "," there is a pause so read all of them and see if it feels right coming out of your mouth.
Answer:
Step-by-step explanation:
y = 4 + 3x
3x + 4 = y
- 4 - 4
3x = y - 4
/ 3 / 3
x = 1/3y - 4/3
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
![\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bc%7D1%5C%5C1%5C%201%5C%5C1%5C%202%5C%201%5C%5C1%5C%203%5C%203%5C%201%5C%5C1%5C%204%5C%206%5C%204%5C%201%5C%5C1%5C%205%5C%2010%5C%2010%5C%205%5C%201%5Cend%7Barray%7D%5Cright)
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243