Question

Please give correct answer ✔️✔️

Answer 1

HELLO DEAR,



---------------------(1)------------------------

given that:-

radius = 14cm

height = 18cm

we know that:- 2πrh

$2 \times \frac{22}{7} \times 14 \times 18 \\ \\ = 44 \times 2 \times 18 \\ \\ = 1584c {m}^{2} \\ \\ = \frac{1584}{10000} {m}^{2}$

and the C.S.A of 100 piller
$\frac{1584}{10000} \times 100 \\ \\ = \frac{1584}{100} = 15.84 {m}^{2}$
cost of painting of one piller= ₹120 /M²

and the cost of 100 pullers

=> 120 × 15.84

=> ₹1900.80



------------------------(2)--------------------------


$(\frac{ {2}^{ - 1} \times {3}^{2} }{ {2}^{2} \times {3}^{ - 4} } ) \times ( \frac{ {2}^{ - 2} \times {3}^{3} }{{2}^{3} \times {3}^{ - 5} } )^{ - \frac{ 5}{2} } \\ \\ = (\frac{ \frac{1}{2} \times {3}^{2} }{ {2}^{2} \times \frac{1}{ {3}^{4} } } ) \times ( \frac{ \frac{ {1} }{ {2}^{2} } \times {3}^{3} }{ {2}^{3} \times \frac{1}{ {3}^{ 5} } } )^{ - \frac{5}{2} } \\ \\ = \frac{ {3}^{2} \times {3}^{4} }{2 \times {2}^{2} } \times ( \frac{ {3}^{3} \times {3}^{5} }{ {2}^{2} \times {2}^{3} } ) ^{ - \frac { 5}{2} } \\ \\ = \frac{ {3}^{6} }{ {2}^{3} } \times (\frac{1}{ \frac{ {3}^{8} }{ {2}^{5} } } )^{ \frac{5}{2} } \\ \\ = \frac{ {3}^{6} }{ {2}^{3} } \times {( \frac{ {2}^{5} }{ {3}^{8} } )}^{ \frac{5}{2} } \\ \\ = \frac{ {3}^{6} }{ {2}^{3} } \times (\sqrt{ \frac{ {2}^{5} }{ {3}^{8} } } ) ^{5} \\ \\ = \frac{ {3}^{6} }{ {2}^{3} } \times ( \frac{ {2}^{2} }{ {3}^{4} } \sqrt{2} ) ^{5} \\ \\ = \frac{ {3}^{6} }{ {2}^{3} } \times { \frac{ {2}^{10} }{ {3}^{20} } } {( \sqrt{2} })^{5} \\ \\ = \frac{{2}^{7} }{ {3}^{14} } \times 4 \sqrt{2} \\ \\ = \frac{ {2}^{9} \sqrt{2} }{ {3}^{14} }$

-----------------------(3)-------------------------

GIVEN THAT:-

AB||CD

if it is PARALLELOGRAM

we know that :-

in PARALLELOGRAM opposite angle are equal

hence,

<D = <B

=> <4=<2

and

<C = <A

=> <5 = <7

<D + <C = 180°

=> <4 + <5 =180°

=>(2x+9)° + (6x-21)° = 180°

=> 8x - 12 =180°

=> 8x = 192°

=> x=192/8

=> x = 24°

<4 = (2×24 +9) = <2

=> <4 = 48+9 = <2

=> <4 = 47° = <2

and

<5 = (6×24 -21) = <7

=> <5 = (144-21) = <7

=> <5 =123° = <7

HENCE,

<2 = 47°

and

<7 =123°



I HOPE ITS HELP YOU DEAR,
THANKS ☺️☺️☺️

Answer 2

please see the attachment

$\huge\fbox\blue{ Hope it helps }$