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500 + 30 + 206/100 + 9/1000

In decimal form

530 + 2.06 + 0.009

532.069

Step-by-step explanation:

∠PQR=90° (Angle in the semi circle is right angle)

Also,from triangle PQR, we have

∠RPQ+∠PQR+∠PRQ=180° (angle sum property)

∠RPQ+90°+∠PRQ=180°

∠RPQ=90°-∠PRQ (1)

Also, ∠BPR=90°(angle made on the tangent) (2)

Now, ∠BPR=∠RPQ+∠QPB

90°=∠RPQ+∠QPB

From (1), we get

90°=90°-∠PRQ+∠QPB

∠QPB=∠PRQ

Hence proved

Given ratio of sum of n terms of two AP’s = (7n+1):(4n+27)We can consider the 9th term as the m th term.Let’s consider the ratio these two AP’s m th terms as am: a’m→(2)Recall the nth term of AP formula, an= a + (n – 1)dHence equation (2) becomes,am: a’m= a + (m – 1)d : a’ + (m – 1)d’On multiplying by 2, we getam: a’m= [2a + 2(m – 1)d] : [2a’ + 2(m – 1)d’]= [2a + {(2m – 1) – 1}d] : [2a’ + {(2m – 1) – 1}d’]= S2m – 1: S’2m – 1= [7(2m – 1) + 1] : [4(2m – 1) +27] [from (1)]= [14m – 7 +1] : [8m – 4 + 27]= [14m – 6] : [8m + 23]Thus the ratio of mth terms of two AP’s is [14m – 6] : [8m + 23].now substitute the value of m as 9so the answer becomes120/95

Step-by-step explanation:

Sol:) Radius of flower bed = 33 m (Diameter/2=radius)..

Radius of flower bed and path together = 33 + 4 = 37m.

So, Area of flower bed (path together )= 3.14 × 37 × 37 = 4298.66 m2.

Area of flower bed = 3.14 × 33 × 33 = 3419.46 m2

Area of path = Area of flower bed and path together − Area of flower bed = 4298.66 − 3419.46 = 879.20 m2....

Let the breadth be x so length is x+3perimeter = 2×(L+B ) = 206x+3+x = 1032x = 100x = 50So, breadth is 50m and length is 53m.

So, area is L×B = 50×53 = 2650 m²

thanks

Area of four walls = LSA of room = 2 * h * (l+b) sq units

lenth=5m breadth = 3.2m,

Area of four walls = 2 *h * (5+3.2)

2*h*8.2=57.4m2

h=57.4/2*8.2

h=57.4/16.4

h=3.5 m

Cheers!

Area of rectangle = length × breadth 440 = 22 × breadth breadth = 440/22 = 20 m Perimeter = 2 ( length + breadth ) = 2 ( 20 + 22 ) = 2 × 42 = 84 m

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let the point of intersection be O .then vertically opposite angle are FOI and HOI , FOH and GOI

measure of other two angles are also same as 123° and 57° ... ( vertically opposite angles)

Volume of the wall = 6*5*0.5 =15 m3

1/20th of volume = 15*1/20 = 3/4 m3

So the volume to be covered by bricks =15−3/4=60−3/4=57/4m3

Volume of each brick =25/100*12.5/100*7.5/100=0.00234375m3

Number of bricks=57/4/0.00234375=6080

Bricks Wall

l=25 cm l=6 m =600 cm

b=12.5 cm b=50 cm

h=7.5 cm h=5 m =500 cm

volume of wall=l x b x h

=600 x 50 x 500

=15000000 cubic cm

volume of mixture =1/20 x 15000000

=750000 cubic cm

volume left =15000000 - 750000

=14250000 cubic cm

required brick =14250000/25 x 12.5 x 7.5

=6080 bricks

Area of triangular field =a×b×c= 51×37×20m square=37740m squareNo. of flower beds =37740÷6=6290

The side of a triangular field are 41m,40m,and 9m. Find the number of rose beds can be prepared in the field ,each rose bed on an average needs 900cmsquare space

The area occupied by both parks together would be(πx8²) + (πx6²) = 100π

So the new park should be of area 100π.π x (New Radius)² = 100π So, (New Radius)² = 100 [As we cancel π on both sides]Therefore, New Radius = 10m

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your Answer is right

Since ab and cd are straight lines,

4b+b+60 = 180°

5b = 180-60

5b = 120

b = 24°

Also, 4b+2c = 180°

2c = 180-4*24

2c = 180-96

2c = 84

c = 42°

Also, 2c+a = 180°

a = 180-2*42

a = 180-96

a = 84°

Like my answer if you find it useful!

Angle BOA=180°ANGLE BOC=125°SO ANGLE AOC=X=180°-125°=55°ANGLE COB=ANGLE AOD=Y=125°(OPPOSITE ANGLES)ANGLE DOB=ANGLE AOC=X=Z=55°(OPPOSITE ANGLES)SO,X=55°Y=125°Z=55°

thanks

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TheClosure Property statesthat when you perform an operation (such as addition, multiplication, etc.) on any two numbers in a set, the result of the computation is another number in the same set.

By using distance formula

and squaring both sides

(x-7)²+(y-1)²= (x-3)²+(y-5)²

x²+ 49 -14x + y²-2y+1= x²+9 -6x + y²+ 25 -10y

50-14x-2y=34-6x-10y

25 -7x -y=17 -3x -5y

4x-4y=8

x-y=2

Like my answer if you find it useful!

number of tangent can be drawn to a circle is option B is rightonly one tangent can be drawn from a point of circle is one

Option C is the right answer

option 3 is a right answer

-5+8/93/9

1/3

is the answer

Let the height be h.(perpendicular to)Distance=80 m(base)Angle of elevation=45°tan45°=perpendicular/base1=h/80h=80 m

Given,Length of Reactangle l = 23 mBreadth of Reactangle b = 19 mPerimeter of Reactangle Pr= 2(l + b) = 2(23 + 19)= 2(42) = 84

Let side of square be sPerimeter of Square Ps = 4*s

As per given condition Pr = Ps84 = 4ss = 84/4 = 21

Diagonal of square = s*sqrt (2)= 21*1.41= 29.61 m

there are two types of distributatve property

1. left cancelation2. Right cancellation

1. (a O b) * c= (aoc) * (boc)2. (c O b) * a= (c O a) * (aob) is the correct answer

Third question has a printing error