The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
<h3>What is the Reciprocal of a Number?</h3>
The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.
Another example is a/b. The reciprocal of a/b is b/a.
Thus, the reciprocal of -2/5 is -5/2.
Expressing this as a decimal, we would have:
-5/2 = 2.5 (nearest tenth).
Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
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Answer:
The answer is 4z^2 + 7z
Step-by-step explanation:
7z + 4z^2 +6 - 6
So, just combine like term which is 6 - 6 = 0
So, the remaining is 4z^2 + 7z that cannot be simplified anymore
<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
