Explore topic-wise InterviewSolutions in Current Affairs.

Answer:

Step-by-step explanation:

The second and fourth LETTERS K and L in the series are Fixed.

The FIRST and third letters are in alphabetical ORDER starting with the letter C.

So

The missing letters are IKJL.

Step-by-step explanation:

Why is distilled WATER used in the BATTERIES and not the TAP water?

ANSWER:

ब्याज = मूलधन× ब्याज दर × समय

= 1000×4× 2

100

= ₹80

hope it HELPS.

Answer:

3xy+7x-7y-3y^2

=3xy-3y^2+7x-7y

=3y(x-y)+7(x-y)

=(x-y)(3y+7)

ANSWER:

Circumference=2πr

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎=2×π×8

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎=16π CM

Step-by-step explanation:

FACTOR, in mathematics, a number or algebraic EXPRESSION that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 EXACTLY and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

no need to mark

30 thanks please

Answer:

105 ,100,and 995

Step-by-step explanation:

because in 5 tables 105 comes

100 comes

995 comes

so they are natural NUMBERS

Answer:

3

Step-by-step EXPLANATION:

a*d-b*c

7*3 - 2*9

21-18

3

Step-by-step explanation:

6m³+3m²+6m-2-5m³-6

6m³-5m³+3m²+6m-6

m³+3m²+6m-6 is your ANSWER

Step-by-step explanation:

54279800 this is the ANSWER

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLIEST

Answer:

75° is an ACUTE angle

hope it HELPS

ANSWER:

ANS is 180

Step-by-step EXPLANATION:

BSHS to do with

ANSWER:

hope it HELPS U

if u want answer in POINT then it is 18.85

Answer:

9 I GUESS because that is the LARGEST which can DIVIDE

Given :-

• Rate = 9 km/h

• Time = 10 min

To FIND :-

• DISTANCE/Length of the street.

Solution :-

We know that,

Distance = SPEED × Time

↦  10 min = 10/60 hours

↦  9 km/hr × 10/60

↦  1.5 km

Answer:

꧁༒ ༒꧂A family in your neighbourhood has been quarantined due to COVID-19 health crisis. Write a

diary entry in about 150-200 words describing how your family and other families in the

neighbourhood feel about the issue. Also say, what the neighbourhood is doing to help the affected

family and to keep their moral high.

Step-by-step explanation:

Fear is defined as “a FEELING of concern about somebody's safety or about

something bad that might happen."Fear is an EMOTION which can be a tool for

self protection and fear itself misplaced can lead one towards self sabotage

and destruction. Fear arises with the threat of harm, either physical,

emotional, or psychological. While traditionally considered a "negative”

emotion, fear is actually an emotion which helps us to cope . It is a tool for self

protection against danger. Fear by itself is an emotion which can be a tool for

self - protection. It helps one , avoid imminent danger. It is the fear of being

run over that makes PEOPLE alert before crossing the road.

Wearing masks,

sanitizing the hands, has been a protective measure that one is taking against

the deadly corona virus attack. Fear alerts us. In some circumstances we

become extra alert and extra aware. The fear of a "If I don't SAVE for a rainy

day, I will have no money, so I better save now."is a rational protective fear

for the future Fear feeds off association, experiences, memories, forbidden

desires or resistance to change. Fear when misplaced and misdirected gives

rise to self doubt, aggression, possessiveness and self harm. People react to

fear in three different ways: Fight Flight and Freeze.

Answer:

11:30

hope it HELPS youuuuuuu

ANSWER:

Step-by-step EXPLANATION:

SOLUTION -

Answer OBTAINED RESPECTIVELY.

I THINK it HELPS U............

Step-by-step explanation:

5x=2+8

x=10/5=2

Plz MARK me as brainliiest

Step-by-step explanation:

SEE PICTURE for answer

you will get answer

no NEED to mark

40 THANKS please

ANSWER:

CIRCUMFERENCE of CIRCLE = 2πr

= 2×22/7×56

= 16×22

= 352

ANSWER:

EXPANDING the cube. (√3)³ i³ - 1³ ... 3√3 i - 1 - 9 (-1) + 3√3 i (Since i² = - 1). - 3√3 i ... solve : 1/2(x+3)-2/5(x-3)=x+9​ please solve it seriously ​.

Step-by-step explanation:

Let us now state the Basic Proportionality THEOREM which is as follows:

If a line is drawn parallel to one side of a triangle intersecting the other two sides in DISTINCT points, then the other two sides are divided in the same ratio.

Basic  Proportionality Theorem Proof

Let us now try to prove the basic proportionality theorem statement

Consider a triangle ΔABC, as shown in the given figure. In this triangle, we draw a line PQ parallel to the side BC of ΔABC and intersecting the sides AB and AC in P and Q, respectively.

Basic Proportionality Theorem

According to the basic proportionality theorem as STATED above, we need to prove:

AP/PB = AQ/QC

Construction

Join the vertex B of ΔABC to Q and the vertex C to P to form the lines BQ and CP and then drop a perpendicular QN to the side AB and also draw PM⊥AC as shown in the given figure.

Basic Proportionality Theorem Proof

Proof

Now the area of ∆APQ = 1/2 × AP × QN (Since, area of a triangle= 1/2× Base × Height)

Similarly, area of ∆PBQ= 1/2 × PB × QN

area of ∆APQ = 1/2 × AQ × PM

Also,area of ∆QCP = 1/2 × QC × PM ………… (1)

Now, if we find the ratio of the area of triangles ∆APQand ∆PBQ, we have

area of ΔAPQarea of ΔPBQ = 12 × AP × QN12 × PB × QN = APPB

Similarly, area of ΔAPQarea of ΔQCP = 12 × AQ × PM12 × QC × PM = AQQC ………..(2)

According to the property of triangles, the triangles drawn between the same parallel lines and on the same base have equal areas.

Therefore, we can say that ∆PBQ and QCP have the same area.

area of ∆PBQ = area of ∆QCP …………..(3)

Therefore, from the EQUATIONS (1), (2) and (3) we can say that,

AP/PB = AQ/QC

Also, ∆ABC and ∆APQ fulfil the conditions for similar triangles, as stated above. Thus, we can say that ∆ABC ~∆APQ.

The MIDPOINT theorem is a special case of the basic proportionality theorem.

According to mid-point theorem, a line drawn joining the midpoints of the two sides of a triangle is parallel to the third side.

Consider an ∆ABC.

Mid-point Theorem

Conclusion

We arrive at the following conclusions from the above theorem:

If P and Q are the mid-points of AB and AC, then PQ || BC. We can state this mathematically as follows:

If P and Q are points on AB and AC such that AP = PB = 1/2 (AB) and AQ = QC = 1/2 (AC), then PQ || BC.

Also, the converse of mid-point theorem is also true which states that the line drawn through the mid-point of a side of a triangle which is parallel to another side, bisects the third side of the triangle.

Hence, the basic proportionality theorem is proved.

Converse of Basic Proportionality Theorem

According to this theorem, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Converse of Basic Proportionality Theorem

Proof

Suppose a line DE, intersects the two sides of a triangle AB and AC at D and E, such that;

AD/DB = AE/EC ……(1)

Assume DE is not parallel to BC. Now, draw a line DE’ parallel to BC.

Hence, by similar triangles,

AD/DB = AE’/E’C ……(2)

From eq. 1 and 2, we get;

AE/EC = AE’/E’C

Adding 1 on both the sides;

AE/EC + 1 = AE’/E’C +1

(AE +EC)/EC = (AE’+E’C)/E’C

AC/EC = AC/E’C

So, EC = E’C

This is possible only when E and E’ coincide.

But, DE’ || BC

Therefore, DE ||BC.

Hence, proved.

i) y-2x = 7. And. II) 4y+X = 1

i) y=7+2x

Now replacing y by its value in (ii)

4(7+2x)+x = 1

28+8x+x = 1

28+9x = 1

9x = 1-28

9x = -27

x=-27/9

x=−3

Now y will be ;

4y + (-3) = 1

4y-3=1

4y=4

y=1

ANSWER:

MAXIMUM AMOUT will be 144 which RINKI can SPEND

Step-by-step explanation:

according to the question

circumference of the CIRCULAR PLOT = 2πr

= 2× 22/7×24.5=154m

circumference of the circular plot INCLUDING 5 rounds of FENCE = 154×5 = 770m

cost = rupees 50 × 770 = 38500 rupees

Step-by-step EXPLANATION:

• The RATIO of 468 STUDENTS to 9 classrooms is 52:1.

Answer :-

• The difference between the TWO numbers is 322 ( OPTION - A ).

Given :-

• Product of two numbers = 2979.
• One of the number = 9

To find :-

• Difference between two numbers?

Solution :-

Let the number be x

So, The equation will be :-

➜ x × 9 = 2979

➜

➜ x = 331

So, The 2nd number is 331.

Difference between the two numbers :-

➜ 331 - 9 = 322.

Hence, The difference between the two numbers is 322.

Verification :-

➜ x × 9 = 2979

By replacing, 331 in PLACE of x, We get :-

➜ 331 × 9 = 2979

➜ 2979 = 2979

LHS = RHS

Hence, Verified.

Answer:

CLOSURE PROPERTY does not HOLD in INTEGERS for the division.

ANSWER:

I KNOW this ANS yessssssssssssssssssssssssssssssssssssssss

Step-by-step EXPLANATION:

yesssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

ANS

20% of 540

=108

Therefore the SELLER MADE a PROFIT of Rs108 in the transaction

Answer:

1⁵+5²/25⁰-5¹=?

=> 1 + 25 / 1-5

=> 26/-4

=> -13/2

Answer:

900000+20000+9000+300+0+7

please MARK me as BRAINLEST

Answer:

5 PEOPLE = 5 DAYS

15 people = (15 × 5)÷5

= 15 days

Answer:

7000 VALUE of AUTOMOBILE purshase

Solution:

( 3 + 3ω² + 5ω)⁶ - ( 2+ 6ω² + 2ω)³

= ( 3+3ω² + 3ω+ 2ω)⁶ - (2+ 4ω² + 2ω² + 2ω)³

= (3 (1 + w² + w) + 2ω)⁶ - (2(1 +ω² + ω) + 4ω

= (2ω⁶) - (4ω²)³ = 0 ( 1 + ω + ω²=0)

ANSWER is 0

Answer:

55° is complementary ANGLE of 35°

Step-by-step explanation:

Two ANGLES are Complementary when they add up to 90 degrees.

Let the other complement angle be Z

Therfore, Z+ 35 = 90°

=> Z = 90° - 35° = 55°

ANSWER:

the ADDITIVE INVERSE of 19/-6 is 19/6

Answer:

11.75

EXPLANATION:

(1/2)^2 - (1/√2)^2 + 4×(√3)^2

1/4 - 1/2+ 4 × 3

1/4 - 1/2 + 12

= 11.75

Answer:

Given two numbers 1 and 2

We need to find a rational number between 1 and 2

Solution Let the two given numbers be a and b respectively a= 1 and b=2

We know that the rational number between a and b is given by (a + b)/2

So the rational number between 1 and 2 = (1+2)/2 = 3/2

Then, Rational number between 1 and 3/2 =[1+(3/2)]/2 = 5/4

Then Rational number between 1 and 5/4 =[1+(5/4)]/2 = 9/8

Then Rational number between 3/2 and 2 =[(3/2) + 2]/2 = 7/4

Then Rational number between 7/4 and 2 =[(7/4) + 2]/2 = 15/8 HENCE the FIVE rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8

I hope it's CLEAR

Answer:

The required area of the RECTANGLE is 1200 cm²

Step-by-step explanation:

Given :

• A wire of length 140 cm is bent into a rectangle.
• The length of the rectangle is 10 cm more than its breadth.

To find :

the area of the rectangle

Solution :

As the wire is bent into a shape of rectangle, the length of the wire is equal to the perimeter of the rectangle.

we know,

Perimeter of the rectangle = 2(Length + breadth)

Let 'l cm' be the length of the rectangle and 'b cm' be the breadth of the rectangle.

As given,

l = (b + 10) cm

Length of the wire = perimeter of the rectangle

140 cm = 2(l + b)

140 = 2(b + 10 + b)

140 = 2(2b + 10)

140/2 = 2b + 10

70 = 2b + 10

2b = 70 – 10

2b = 60

b = 60/2

b = 30 cm

The breadth of the rectangle is 30 cm.

Now, let's find the length of the rectangle.

length = 10 + 30 = 40 cm

Area of the rectangle = length × breadth

= 40 cm × 30 cm

= 1200 cm²

ANSWER:

The LHS of an equation is equal to its RHS only for a definite VALUE of the variable in the equation. We say that this definite value of the variable SATISFIES the equation. This value itself is CALLED the solution of the equation. For getting the solution of an equation, one method is the trial and error method.

ANSWER:

no we can't DRAW a quadrilateral with these given ANGLES because there SUM is not equal to 360°

ANSWER:

3.18 is the answer . I HOPE you LIKE this

Step-by-step EXPLANATION:

a/y=6. &. ay=k.

a=6/y. 6/y×y=k,

k=6

Then,k-a=36. &. a/y=6

6-a=36. a=6y

-a=36-6. -30=6y

-a=30. y=-5

a=-30

a=-30 , y=-5 & k=6

Answer:

Step-by-step explanation:

Numerator: the TOP NUMBER of a fraction. Denominator: the BOTTOM number of a fraction.

For EXAMPLE,

here 'x' is numerator and 'y' is denominator.