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3 years ago

7

What type of figure is w y

1 answer:

Neporo4naja [7]3 years ago

3 0

Answer:

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Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $33

Margaret [11]

Answer:

$122.04
36.94%

Step-by-step explanation:

a) The amount of concern is ...

(total interest)/(number of payments) = interest/payment

$14,644.95/120 ≈ $122.04 . . . . amount of interest per payment

__

b) The ratio of concern is ...

(total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%

≈ 36.94% . . . . percent of total payments that is interest

6 0

3 years ago

Rationalise the denominator of:<br>1/(√3 + √5 - √2)

Paul [167]

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given expression is

$\rm :\longmapsto\:\dfrac{1}{ \sqrt{3} + \sqrt{5} - \sqrt{2} }$

can be re-arranged as

$\rm :\longmapsto\:\dfrac{1}{ \sqrt{3} - \sqrt{2} + \sqrt{5} }$

$\rm \: = \: \dfrac{1}{( \sqrt{3} - \sqrt{2} ) + \sqrt{5} }$

On rationalizing the denominator, we get

$\rm \: = \: \dfrac{1}{( \sqrt{3} - \sqrt{2} ) + \sqrt{5} } \times \dfrac{( \sqrt{3} - \sqrt{2} ) - \sqrt{5} }{( \sqrt{3} - \sqrt{2} ) - \sqrt{5} }$

We know,

$\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}$

So, using this, we get

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{ {( \sqrt{3} - \sqrt{2} )}^{2} - {( \sqrt{5}) }^{2} }$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{3 + 2 - 2 \sqrt{6} - 5}$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{5 - 2 \sqrt{6} - 5}$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{ - 2 \sqrt{6}}$

$\rm \: = \: \dfrac{ - ( - \sqrt{3} + \sqrt{2} + \sqrt{5}) }{ - 2 \sqrt{6}}$

$\rm \: = \: \dfrac{- \sqrt{3} + \sqrt{2} + \sqrt{5}}{2 \sqrt{6}}$

On rationalizing the denominator, we get

$\rm \: = \: \dfrac{- \sqrt{3} + \sqrt{2} + \sqrt{5}}{2 \sqrt{6}} \times \dfrac{ \sqrt{6} }{ \sqrt{6} }$

$\rm \: = \: \dfrac{- \sqrt{18} + \sqrt{12} + \sqrt{30}}{2 \times 6}$

$\rm \: = \: \dfrac{- \sqrt{3 \times 3 \times 2} + \sqrt{2 \times 2 \times 3} + \sqrt{30}}{12}$

$\rm \: = \: \dfrac{- 3\sqrt{2} + 2 \sqrt{3} + \sqrt{30}}{12}$

Hence,

$\boxed{\tt{ \rm \dfrac{1}{ \sqrt{3} + \sqrt{5} - \sqrt{2} } =\dfrac{- \sqrt{3 \times 3 \times 2} + \sqrt{2 \times 2 \times 3} + \sqrt{30}}{12}}}$

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<h3><u>More Identities to </u><u>know:</u></h3>

$\purple{\boxed{\tt{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}}}}$

$\purple{\boxed{\tt{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}}}}$

$\purple{\boxed{\tt{ {(x + y)}^{3} = {x}^{3} + 3xy(x + y) + {y}^{3}}}}$

$\purple{\boxed{\tt{ {(x - y)}^{3} = {x}^{3} - 3xy(x - y) - {y}^{3}}}}$

$\pink{\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}}$

$\pink{\boxed{\tt{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}}}$

6 0

3 years ago

Write riddle for the number 62

EastWind [94]

A number between 60 & 65 ??

5 0

4 years ago

Read 2 more answers

Give Area of a circle of diameter of 120 meters

Valentin [98]

Answer:

Area=11,309.73

Step-by-step explanation:

area of a circle is πr^2 so half of the diameter is the radius so it's 60.

pi x 60^2= 11,309.73

3 0

3 years ago

Which equation is equivalent to StartRoot x EndRoot + 11 = 15?

Lerok [7]

The equivalent expression of $\sqrt x + 11 = 15$ is $\sqrt x = 15 - 11$

<h3>How to determine the equivalent expression?</h3>

The complete question is in the attached image

The expression is given as:

$\sqrt x + 11 = 15$

Subtract 11 from both sides of the equation

$\sqrt x + 11 - 11= 15 - 11$

This gives

$\sqrt x = 15 - 11$

Hence, the equivalent expression of $\sqrt x + 11 = 15$ is $\sqrt x = 15 - 11$

Read more about equivalent expression at:

brainly.com/question/4344214

#SPJ1

5 0

2 years ago