Answer:
28/15
Step-by-step explanation:
6 tenths, 2 hundredths, 8 thousandth in standard form is:
.628
Knowing tenths is before hundredths you can easily place it first, then hundredths is second, lastly the thousandth is last
Answer:
![Length =5](https://tex.z-dn.net/?f=Length%20%3D5)
![Width = 2](https://tex.z-dn.net/?f=Width%20%3D%202)
Step-by-step explanation:
Given
![Length =x](https://tex.z-dn.net/?f=Length%20%3Dx)
![Width = x -3](https://tex.z-dn.net/?f=Width%20%3D%20x%20-3)
![Area = 10](https://tex.z-dn.net/?f=Area%20%3D%2010)
![x(x-3) =10](https://tex.z-dn.net/?f=x%28x-3%29%20%3D10)
See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:
![x(x-3) =10](https://tex.z-dn.net/?f=x%28x-3%29%20%3D10)
Open bracket
![x^2 -3x = 10](https://tex.z-dn.net/?f=x%5E2%20-3x%20%3D%2010)
Equate to 0
![x^2 -3x - 10 =0](https://tex.z-dn.net/?f=x%5E2%20-3x%20-%2010%20%3D0)
Expand
![x^2 + 2x - 5x - 10 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%20-%205x%20-%2010%20%3D%200)
Factorize
![x(x + 2) - 5(x + 2) = 0](https://tex.z-dn.net/?f=x%28x%20%2B%202%29%20-%205%28x%20%2B%202%29%20%3D%200)
Factor out x + 2
![(x - 5)(x + 2) = 0](https://tex.z-dn.net/?f=%28x%20%20-%205%29%28x%20%2B%202%29%20%3D%200)
Solve for x
or ![x + 2 = 0](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%200)
or ![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
The value of x cannot be negative
So:
![x = 5](https://tex.z-dn.net/?f=x%20%20%3D%205)
Recall that:
![Length = x](https://tex.z-dn.net/?f=Length%20%3D%20x)
![Width = x - 3](https://tex.z-dn.net/?f=Width%20%3D%20x%20-%203)
So:
![Length =5](https://tex.z-dn.net/?f=Length%20%3D5)
---- i.e. 5 - 3
The value of θ is 45 degrees as sin45° is equal to 1/√2.
<h3>What is trigonometric equation?</h3>
Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.
<h3>What is the ranges of trigonometric angle?</h3>
Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.
Given, 2sin²θ = 1
solving the equation
sin²θ = 1/2
sinθ = 1/√2
we know sin45° has a specific value 1/√2
sinθ = sin 45°
now, θ = 45°
hence, the solution is θ = 45 degrees.
to know more about trigonometric ratios and values visit
the link: brainly.com/question/29755110
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Answer47.3%
Step-by-step explanation: