Answer: (3a + 1) (a + 3)
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
<u>Solve:</u>
Given = 3a² + 10a + 3
<em>STEP ONE: separate 3a² into two terms</em>
3a
a
<em>STEP TWO: separate 3 into two terms</em>
3
1
<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
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Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.
Answer:
The total number of registered doctors was 192,473.
Step-by-step explanation:
This question can be solved using a rule of three.
53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So
53700 doctors - 0.279
x doctors - 1



Rounding to the nearest whole number.
The total number of registered doctors was 192,473.
Answer:
<u><em>26/3 is your answer as a improper fraction </em></u>
<u><em>8.6 is your answer as a decimal </em></u>
<u><em>8 2/3 is your answer as a mixed number </em></u>
How to add mixed numbers Step-by-step:
1) find the least common denominator
2) find the equivalent fractions
3) add the the fractions, add the whole numbers
4) write your answer in lowest terms