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FrozenT [24]
3 years ago
14

Rationalize the denominator of 2/√3−1 Please give step by step answer

Mathematics
2 answers:
Rashid [163]3 years ago
7 0
Answer: sqrt2

Explanation:

I attach a photo please check it:

STatiana [176]3 years ago
7 0

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

  • 2/(√3−1)=
  • 2×(√3 + 1)/(√3 - 1)×(√3 + 1) =    <em>multiplied both sides by √3 + 1</em>
  • 2×(√3 + 1)/(√3² - 1²)=               <em> used (a+b)(a-b)= a² - b² formula</em>
  • 2×(√3 + 1)/(3 - 1)=
  • 2×(√3 + 1)/2=                            <em>cancelled like terms</em>
  • √3 + 1
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Please help with no links.
Wewaii [24]

Answer:

I think its B

I dont know if Im wrong

5 0
2 years ago
8) The height of a building h varies directly as the length and inversely as the width, if h = 25m when l = 10m and w = 5m, find
shtirl [24]

Let h,l, and w represent the height, length, and width of the building respectively

Then

\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}\Rightarrow h=\frac{12.5l}{w}

The new value of h = 50m, but l remains the same.

That is l = 10m

Therefore

\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}

Hence, the width is 2.5m

8 0
1 year ago
In which geometry is there no line parallel to a given line through a point not on the line?
tangare [24]

Answer:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The volume V of a cone varies jointly as the area of the base B and the height
seraphim [82]

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

3 0
3 years ago
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SVETLANKA909090 [29]

Answer:

ty to the points :>

Step-by-step explanation:

tytytytysm

6 0
3 years ago
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