The solution set for the inequality expression is (-∞, -6)
<h3>Solving inequalities</h3>
Inequality are expressions that does not involve an equality sign.
Given the following parameters
-3x + 3 > -21
Subtract 3 from both sides
-3x + 3 - 3 > 21 - 3
-3x > 18
Divide both sides by -3
-3x/-3 < 18/-3
x < -6
Hence the solution set for the inequality expression is (-∞, -6)
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Answer:
the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints
Step-by-step explanation:
The computation of the number of pints of blue paint did she use for painting her bedroom walls is shown below:
= Total pint × blue paint
= 7.5 × (1 - 3 ÷ 4)
= 7.5 × 1 ÷ 4
= 1.875 pints
Hence, the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints
Answer:
45
Step-by-step explanation:
Substitute i = 1, 2, 3, 4, 5 into the expression and sum the terms
3(1) + 3(2) + 3(3) + 3(4) + 3(5)
= 3 + 6 + 9 + 12 + 15
= 45
Answer:
θ = 36.94°
Step-by-step explanation:
Brewster's law for polarization states that; tan(θ_p) = n2/n1
Where ;
θ_p is the polarizing angle
n1 is the index of refraction of first material
n2 is the index of refraction of second material
Now, our first material here is air while second material is water.
Index of refraction of water = 1.33 while index of refraction of air is 1
Thus,
tan(θ_p) = n2/n1 = 1.33/1
tan(θ_p) = 1.33
(θ_p) = tan^(-1)1.33
(θ_p) = 53.06°
Now, polarizing angle is the angle of incidence for which all the reflected light is polarized and it's above the vertical. Thus to get the angle to the horizontal, it will be;
θ = 90° - (θ_p) = 90° - 53.06° = 36.94°
