Question

Friends this is the question paper. the question which you are able to do . Then please answer​

Answer 1

1) 5x-14=x-(24+4x)

= 5x-14= x-24-4x

= 5x-14= -24-3x

=5x-14+24+3x=0

=8x+10=0

x= - 10/8 => - 5/4

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

2)length=21cm

Area= length x breadth

105= 21cm x breadth

breadth= 105/21 = 5cm

Now, perimeter= 2 x (length +breadth)

= 2 x ( 26)

= 52cm

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

3) Mean= $\frac{5.4+2.7+3.8+7.9+8+4+10+4.6+6.2}{9} \\\\ \frac{52.6}{9} =5.84$

Median = here n is odd

So, $Median =\frac{n+1}{2} th~term => 5th~term =>5.4$

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

4)Sum of supplementary angle= 180

3x+15+2x+5= 180

=>5x+20=180

5x= 160

x= 160/5 = 32

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

5)

1. Parallelogram
2. Regular
3. Diameter

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

6) $Number of bricks= \frac{Volume~ of~ crate} {Volume~ of~ a~ brick} \\\\ \frac{27 \times 15 \times 8}{9 \times 4 \times 5} = 3x3x2 = 18 bricks.$

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

7) Sum of all angles of a triangle = 180

There are two triangles.

In 2nd triangle,

80+66+a=180

a= 180-146

a= 34

Now in the main triangle,

30+66+a+b=180

We know that a=34

30+66+34+b= 180

130+b=180

b=180-130 = 50

b=50

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

I) Volume of the tank = capacity of water it can hold.

First of all, convert Kl to m^3.

1 Kl= 1000 L

5Kl= 5000L

And now, convert Litres to $m^3$

$1 ~litres = \frac{1}{1000} m^3 \\\\ 5000 L = \frac {5000}{1000} m^3 = 5m^3$

Volume of tank = 5m^3

Volume of tank= length x breadth x height

=> breadth x 25 x 10

=> 250 x breadth = 5

Breadth = 1/50 metres or 2 cm

¯\_(⊙-⊙)_/¯

2)

Diameter =7cm

Radius= 7/2 => 3.5 cm