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vovikov84 [41]
2 years ago
12

(2x^3-7x^2-16x-6)÷(2x+1)

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

1.236293992929299292929

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Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√
PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12

12 is a rational number.

Second expression is

\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}

4\sqrt{3} is an irrational number.

Third expression is

7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21

21 is a rational number.

Fourth expression is

\sqrt{5}\cdot \sqrt{5}=5

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0
3 years ago
In the triangle shown above m∠B = 114°, m∠C = 22°, and b = 12 in. What is the approximate length of side a? A. 15.78 in B. 9.12
Elena L [17]

The approximate length of side a is 9.12 in. The correct option is B. 9.12 in

<h3>Law of Sines </h3>

From the question, we are to determine the approximate length of side a

From the given information, we have that

m∠B = 114°, m∠C = 22°

Thus,

m∠A = 180° - (114° + 22°)

m∠A = 180° - 136°

m∠A = 44°

Now,

From the law of sines, we have that

a/sinA = b/sinB

Then,

a/sin44° = 12/sin114°

a = (12 ×sin44°)/sin114°

a = 9.12 in

Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in

Learn more on Law of Sines here: brainly.com/question/24138896

#SPJ1

4 0
1 year ago
What is the angle measure of D?<br><br> 52°<br><br><br> 56°<br><br><br> 74°<br><br><br> 102°
Westkost [7]

Answer:

52°

Step-by-step explanation:

<D = 360 - (78+106 + 124)

<D = 360 - 308

<D = 52°

7 0
3 years ago
Read 2 more answers
Can you please help me <br> Step by step as well for brainliest
romanna [79]

Answer:

Step-by-step explanation:

42:7=ED:24

cross multiply 42 into 24.

Then divide by 7

you will get ED

Then use pythageorous theorem.

Ed square + 42 square=Ef square

Then do square root of Ef square

7 0
2 years ago
Someone please help ASAP!!!!
IrinaVladis [17]
Steps:

A=bh/2

A= (18ft)(6ft)
_______
2
A = 108
____
2
A= 54ft^2
4 0
3 years ago
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