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3 years ago

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) = multiplied both sides by √3 + 1
2×(√3 + 1)/(√3² - 1²)= used (a+b)(a-b)= a² - b² formula
2×(√3 + 1)/(3 - 1)=
2×(√3 + 1)/2= cancelled like terms
√3 + 1

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Wewaii [24]

Answer:

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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

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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:

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3 years ago

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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.

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Step-by-step explanation:

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3 years ago

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