Answer:
1 + 3sinA + 3sin²A + sin³A
Step-by-step explanation:
Given
(1 + sinA)(1 + sinA)(1 + sinA) ← expand the last pair using FOIL
= (1 + sinA)(1 + 2sinA + sin²A) ← distribute
= 1 + 2sinA + sin²A + sinA + 2sin²A + sin³A ← collect like terms
= 1 + 3sinA + 3sin²A + sin³A
The area that the garden bed cover is 10 ft², at a depth of 6 in (0.5 ft.)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
12 in = 1 ft, hence 6 in = 0.5 ft.
The volume of the dirt = Area of the bed * Depth of the bed
Hence:
5 ft³ = Area * 0.5 ft.
Area = 10 ft²
The area that the garden bed cover is 10 ft², at a depth of 6 in (0.5 ft.)
Find out more on equation at: brainly.com/question/2972832
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Answer: ![\bold{n=\dfrac{11}{6}}](https://tex.z-dn.net/?f=%5Cbold%7Bn%3D%5Cdfrac%7B11%7D%7B6%7D%7D)
<u>Step-by-step explanation:</u>
![\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\](https://tex.z-dn.net/?f=%5Cdfrac%7B3n-2%7D%7B5%7D%3D%5Cdfrac%7B7%7D%7B10%7D%5C%5C%5C%5C%5C%5C10%283n-2%29%3D5%287%29%5Cqquad%20%5Clongrightarrow%20%5Cquad%20%5Ctext%7B%28cross%20multiplied%29%7D%5C%5C%5C%5C30n-20%3D35%5Cqquad%20%5Clongrightarrow%20%5Cquad%20%5Ctext%7B%28distributed%29%7D%5C%5C%5C%5C30n%3D55%5Cqquad%20%5Clongrightarrow%20%5Cquad%20%5Ctext%7B%28added%2020%20to%20both%20sides%29%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B55%7D%7B30%7D%5Cqquad%20%5Clongrightarrow%20%5Cquad%20%5Ctext%7B%28divided%2030%20from%20both%20sides%29%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B11%7D%7B6%7D%5Cquad%20%5Clongrightarrow%20%5Cquad%20%5Ctext%7B%28simplified%20fraction%29%7D%5C%5C%5C%5C%5C%5C%5Clarge%5Cboxed%7Bn%3D%5Cdfrac%7B11%7D%7B6%7D%7D%5C%5C)
Step-by-step explanation:
![12 {x}^{2} + 2 {x}^{2} - 30x - 5 \\ = 14 {x}^{2} - 30x - 5](https://tex.z-dn.net/?f=12%20%7Bx%7D%5E%7B2%7D%20%20%2B%202%20%7Bx%7D%5E%7B2%7D%20%20-%2030x%20-%205%20%5C%5C%20%20%3D%2014%20%7Bx%7D%5E%7B2%7D%20%20-%2030x%20-%205)
Should be y=2/5x+4.8
It’s been a minute since I’ve taken a math class. I’m sorry if I’m wrong but I’m 90% sure I’m right!