Question

Question No. 1
The value of
(6.43)? +33.3074 +(5.18)
6.43x41.3449-10.36x 2.59 x 5.18
lies between
0 0.1 and 0.5
O 0.5 and 1
0 1 and 1.2
O 1.2 and 1.5
BA​

Answer 1

Step-by-step explanation:

Given The value of(6.43)² +33.3074+(5.18)²

____________________

6.43x41.3449-10.36x 2.59x 5.18  lies between ??

• We need to find the value of the given expression. So we have
•                            (6.43)^2 + 33.3074 + (5.18)^2 / 6.43 x 41.3449 – 10.36 x 2.59 x 5.18 (using BODMAS application  we have first multiplication and subtraction)
•                             41.3449 + 33.3074 + 26.8324 / 265.847707 – 138.991832
•                                 101.4847 / 126.855875
•                                       = 0.8
• So 0.8 is in between 0.5 and 1
• So we have the option 2 as the correct option.

Reference link will be

https://brainly.in/question/21053178

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO CHOOSE THE CORRECT OPTION

The value of

$\displaystyle \sf{ \frac{ {(6.43)}^{2} + 33.074 + {(5.18)}^{2} }{6.43 \times 41.3449 - 10.36 \times 2.59 \times 5.18} \: }$

lies between

$\sf{1. \: \: \: \: 0.1 \: \: \: and \: \: \: \: 0.5 \: }$

$\sf{2. \: \: \: \: 0.5 \: \: \: and \: \: \: \: 1 \: }$

$\sf{3. \: \: \: \: 1 \: \: \: and \: \: \: \: 1.2 \: }$

$\sf{4. \: \: \: \: 1.2 \: \: \: and \: \: \: \: 1.5 \: }$

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

$\sf { {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2}) \: }$

CALCULATION

$\displaystyle \sf{ \frac{ {(6.43)}^{2} + 33.074 + {(5.18)}^{2} }{6.43 + 41.3449 - 10.36 + 2.59 \times 5.18} \: }$

$= \displaystyle \sf{ \frac{ {(6.43)}^{2} +( 6.43 \times 5.18) + {(5.18)}^{2} }{6.43 \times 6.43 \times 6.43 - (5.18 \times 2 \times 2.59 \times 5.18)} \: }$

$= \displaystyle \sf{ \frac{ {(6.43)}^{2} +( 6.43 \times 5.18) + {(5.18)}^{2} }{ {(6.43)}^{3} - (5.18 \times 5.18 \times 5.18)} \: }$

$= \displaystyle \sf{ \frac{ {(6.43)}^{2} +( 6.43 \times 5.18) + {(5.18)}^{2} }{ {(6.43)}^{3} - {(5.18)}^{3} } \: }$

$= \displaystyle \sf{ \frac{ {(6.43)}^{2} +( 6.43 \times 5.18) + {(5.18)}^{2} }{ {(6.43} - {5.18)} \bigg[ \: {(6.43)}^{2} +( 6.43 \times 5.18) + {(5.18)}^{2} \bigg] } \: }$

$= \displaystyle \sf{ \frac{1 }{ {(6.43} - {5.18)} } \: }$

$= \displaystyle \sf{ \frac{1 }{ 1.25 } \: }$

$= \displaystyle \sf{0.8 }$

Hence the value of

$\displaystyle \sf{ \frac{ {(6.43)}^{2} + 33.074 + {(5.18)}^{2} }{6.43 \times 41.3449 - 10.36 \times 2.59 \times 5.18} \: }$

$\sf{lies \: \: between \: \: \: \: 0.5 \: \: and \: \: 1 \: }$

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LEARN MORE FROM BRAINLY

The angles of the triangle are

3x–40, x+20 and 2x–10

then the value of x is

(a) 40 (b) 35 (c) 50 (d) 45

https://brainly.in/question/4194032