Step-by-step explanation:
5 = 12 Cross multiply
2.35 x
5x = 28.2 Divide 5 on both sides to isolate the variable
x = 5.64
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Answer:

Step-by-step explanation:
Factorize:

<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:

Therefore, (x - 1) is a factor.
As the polynomial is cubic:

Expanding the brackets:


Comparing coefficients with the original polynomial:



Therefore:

Cannot be factored any further.
Answer:
The answer to your question is 3n+5
Answer:
B
Step-by-step explanation:
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°