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➡ Given :-

→ A ∆ABC in which AD and CE are medians and B = 90° .

➡ To prove :-

→ 5AC² = 4( AD² + CE² ) .

➡ Proof :-

In ∆ABC, B = 90° .

•°• AC² = AB² + BC² .......(1) .
[ By Pythagoras theorem ] .

In ∆ABD, B = 90° .

•°• AD² = BD² + AB² .
[ By Pythagoras theorem ] .

=> AD² = ( ½BC )² + AB² .

=> AD² = ¼BC² + AB² .

=> 4AD² = BC² + 4AB² ..............(2).

In ∆BEC, B = 90° .

•°• CE² = BE² + BC² .

=> CE² = ( ½AB )² + BC² .

=> CE² = ¼AB² + BC² .

=> 4CE² = AB² + 4BC²................(3) .

▶ On adding equation (2) and (3), we get

=> 4AD² + 4CE² = BC² + 4AB² + AB² + 4BC² .

=> 4( AD² + CE² ) = 5BC² + 5AB² .

=> 5( BC² + CE² ) = 4( AD² + CE² ) [ Using (1) ] .

•°• 5AC² = 4( AD² + CE² ) .


✔✔ HENCE , it is proved ✅✅.


THANKS


#BeBrainly.

50%=20

100%=40

75%X40= 75/100x40= 3000/100= 30

The ORIGINAL BILL is $65

• 4 : 5 : 9/2

  = 4 x 2 : 5 x 2 : 9/2 x 2

 = 8 : 10 : 9

Thank U.

35+12-50
47-50
-3
ANS 3

Shopkeeper bought 120 apples at h cents each, so it'll be 120h cents
and he bought 180 oranges at k cents each, so it'll be 180k cents

A) total money spent on the buying is
120h+180k

B) total amount got on selling the bags of FRUITS
(assuming price of each bag is 3h+4k)
By putting 2 apples and 3 oranges in each bag he can make 60 DISTINCT bags (120/2=60 or 180/3=60) so,
Total amount=price of each bag*NUMBER of bags
=(3h+4k)*60

C) amount earned=amount got while selling-amount spent while buying
=60(3h+4k)-(120h+180k)
=180h-120h+240k-180k
=60h+60k

20pr=30pr-1
10pr=1
r=1/10p

In this question,
Diameter of Cylinder = 105 m
Radius of Cylinder = 105/2 m = 52.5 m
Height of Cylinder = 3 m

C.S.A of Cylinder = 2 X pi x r x h
=> C.S.A = (2 x 22/7 x 52.5 x 3) m^2
=> C.S.A = 6930/7 m^2
=> C.S.A = 990 m^2

Now,
Radius of Cylinder = Radius of Cone = 52.5 m
Slant Height = 5 m

C.S.A of Cone = pi x r x l
=> C.S.A = 22/7 x 52.5 x 5
=> C.S.A = 5775/7 m^2
=> C.S.A = 825 m^2

Now,
Total AREA of Canvas = C.S.A of Cylinder + C.S.A of Cone
=> Total Area = (990+825) m^2
=> Total Area = 1815 m^2


Be BRAINLY

Here is your ANSWER...

10^-8 + 10^-7   =    10^-7 ( 10^-1 + 1)

Actually ur question is WRONG...U didn't wrote the CORRECT question....its TYPING mistake

10÷100×15000

=₹1500

The COST of PHONE will be FIFTEEN THOUSANDS

ANSWER:

idk

Step-by-step EXPLANATION:

PLEASE TELL me

6=2*3

15=5*3

21=7*3

24=2*2*2*3

LCM:=2*2*2*3*7*5=840

874*9=7,560

√i=√-1 is the ANSWER

H҈ e҈ y҈  f҈ r҈ i҈ e҈ n҈ d҈ 





so, LENGTH=






HOPE it HELPS you

INTERCEPT theorem - If a TRANSVERSAL makes equal intercepts on THREE or more parallel lines, then any other LINE cutting them will ALSO make equal intercepts.

for 11)

2x+3y+15=0

2(2k-3)+3(k+2)+15=0

4k-6+3k+6+15=0

7k+15=0

7k= -15

k= -15/7

What NEEDS to be DONE then? What is the QUESTION?

The area and PERIMETER
perimeter:2xl+b
area:2x2
2xl+b
2x(25+2)
2x27
ANS :54

Exterior angle= 140 °
opposite interior angle= 3:4
LET the interior angle be 3x , 4x
then, 3x + 4x = 140° ( exterior angle is EQUAL to the interior angle of opposite side)
7x= 140°
x= 140°/7
X = 20
we put 20 on EVERY X
3x= 3× 20 = 60
4x = 4× 20 = 80

Have a NICE TIME......

This is the CONVERSE of MIDPOINT THEOREM

This is the ANSWER if your QUESTION

Conditional statement helps you to make decisions BASED on CERTAIN conditions.These condition arespecified by a set of conditional statements having boolean expressions which are evaluated to a boolean value true or FALSE.

ANSWER: 6

Step-by-step explanation:

286m - 351n - 617

This expression can be written as

13(22m - 27n) - 617

Let's take (22m - 27n) as x

That MEANS, the expression can be

13x - 617

Now, consider the factors for 13 nearest to 617

The nearest FACTOR is 611

So, 611 - 617 = - 6

abs(-6) =6.

HOPE U will UNDERSTAND

ANSWER:

Step-by-step eanation:

LET the No. be x

Then positive no. is 7x

ATQ:-

5/2(x+3)=7x+3

x=1

So NOS are 1 and 7

This is the ANSWER for this QUESTION

MATRIX:

1. Matrix is basically a RECTANGULAR array of 'm' ROWS and 'n' columns.

2.Matrices are generally denoted by capital letters and elements by small letters.

DETERMINANT:

A matrix is a MATHEMATICAL OBJECT, while the determinant is a value associated to a square matrix.

LET the parallel side of trapezium be x & 3X cm respectively

Area=160 cm^2

Short parallel side=x=10 cm

Short parallel side=3x=3*10 =30 cm

1/2(a+b)*h=160

1/2(10+30)*h=160

1/2*40*h=160

20*h=160

h=160/20

h=8 cm

Therefore,perpendicular distance between them is 8 cm.

SOLUTION :-

Let us Assume that, the third NUMBER is 100.

Than,

Given that, the first two numbers are 15% and 20% more than the third number.

So,

→ First Number = 100 + 15% of 100 = 100 + (15 * 100/100) = 100 + 15 = 115 .

→ SECOND Number = 100 + 20% of 100 = 100 + (20 * 100/100) = 100 + 20 = 120 .

Also, The fourth number is 5% less than the third number.

Than,

→ Fourth Number = 100 - 5% of 100 = 100 - (5 * 100/100) = 100 - 5 = 95 .

To Find :-

• The RATIO of the first, second and fourth number .

→ First Number : second Number : Fourth Number

Putting values we get :-

→ Required Ratio = 115 : 120 : 95

→ Required Ratio = 5 * 23 : 5 * 24 : 5 * 19

5 will be cancel ,

→ Required Ratio = 23 : 24 : 19 (Ans.)

Hence, the ratio of first, second and fourth number is 23 : 24 : 19.

H҈ e҈ y҈  f҈ r҈ i҈ e҈ n҈ d҈ 

h҈ e҈ r҈ e҈  i҈ s҈  y҈ o҈ u҈ r҈ 

a҈ n҈ s҈ w҈ e҈ r҈ 





























HOPE it HELPS you

H҈ E҈ Y҈  F҈ r҈ i҈ e҈ n҈ d҈  






so,





HOPE it HELPS you

371.91 is the ANSWER

a/b=2/3

Therefore, a=2 and b=3

a^3+b^3=?

Using IDENTITY a^3+b^3=(a+b)(a^2+b^2-ab)

(2+3)(2^2+3^2-(2X3))

5(4+9-6)

5(13-6)

=> 5(7)

= 35

WORKING 7 hours a DAY 147 m long TRENCH can be dug by = 10 MEN.

Working 1 hour a day 147 m long trench can be dug by = 10*7

Working 1 hour a day 1 m long trench can be dug by = (10*7)/147

Working 8 hours a day 1 m long trench can be dug by = (10*7)/(147*8)

Working 8 hours a day 160 m long trench can be dug by = (10*7*160)/(147*8)

= 11200/1176

= 9.523

As the men cannot be in decimal or fraction, so, the answer is 10 men.