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melomori [17]
3 years ago
6

3√12•√6please show a step by step explanation ​

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

Therefore, 3\sqrt{12}*\sqrt{6} = 18\sqrt{2}

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

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3 ft Find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate it. 4 ft 5 ft
Sedbober [7]

Answer:

perimeter = 19.42 ft

Step-by-step explanation:

perimeter of semi circle = 6π/2 = 9.42

perimeter of cone = 5 + 5 = 10

10 + 9.42 = 19.42 ft

7 0
2 years ago
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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
bixtya [17]

Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

  (OO')^2=(OD)^2+(O' D)^2

\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

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6 0
3 years ago
How do u do this because I forgot
neonofarm [45]

I don't know which one you want but here

Exact form: x=9/10

OR

Decimal form

x=0.9

5 0
2 years ago
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 14 miles per hou
Sergeu [11.5K]

Answer:

The answer to your question is 166 mi/h

Step-by-step explanation:

Data

ve = rate eastbound train

vw = rate westbound train = ve - 14

distance = d = 900 mi

time = t = 5 h

Formula

v = \frac{distance}{time} = \frac{d}{t}

Substitution and simplification

ve = \frac{900}{5} = 180 mi/h

Now, substitute this value in the equation of vw

vw = 180 - 14

Result

vw = 166 mi/h

7 0
3 years ago
Eric found that about 62% of 80 classmates at school like pop music. However, 70% of his 60 relatives like pop. About how many c
kirill [66]

Answer:

50 classmates

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49,6 ≈ 50

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2 years ago
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