Five less than two times a number is less than three times the number
1 answer:
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The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is
<u>Solution:</u>
Given, expression is
We have to factorize the given expression completely.
Now, take the expression
Taking as common term,
Taking "a" as common term,
Taking "6" as common term,
Splitting "3a" as "4a - a" we get,
Hence, the factored form of given expression is
Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)