Explanation

Explanation

Explanation

The original statement and its contrapositive are logically equivalent. Remember that the contrapositive is the “converse of the inverse"

Explanation

Step 1: Calculate the rate of work for 6 men

6 men make 10 sofas in 2 days. So, the rate of work per day for 6 men is 10 sofas / 2 days = 5 sofas per day.

Step 2: Calculate the rate of work per man per day

Rate per man per day = 5 sofas / 6 men = 5/6 sofas per man per day.

Step 3: Calculate the rate of work for 8 men

Rate for 8 men per day = 8 men * 5/6 sofas per man per day = 20/3 sofas per day.

Step 4: Calculate the time to make 8 sofas

Time = Total sofas / Rate per day

= 8 sofas / (20/3 sofas per day)

= 8 * 3 / 20

= 24 / 20

= 1.2 days

Explanation

tank volume 38.4 cu m=38400 l
3/4 full=38400 x 3/4=28800 l
add 4000lto 28800=32800l
32800/38400= .854 fll
tank 4,8 m tall x 854 current water level= 4.1 m depth of water

Explanation

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 35 and 84 is 7

Divide both the numerator and denominator by the GCD

35 ÷ 7

84 ÷ 7

Reduced fraction: 

5

12

Therefore, 35/84 simplified to lowest terms is 5/12.

Explanation

b=12, c−a=8

a2+b2=c2

⇒b2=(c−a)(c+a)

⇒144=8×(c+a)

Solving we get, c = 13 cm, a = 5cm

Area of triangle =21×12cm×15cm=30cm2

Explanation

The plane will be 400 times smaller than the real on paper.
length of plane on paper=9.6 inches
length of the plane in real=9.6*400 inches=3840
1 feet=12inches
length of the plane in real in feet=3840/12
=320 feet
Hope it's helpful

Sh31-8-2023

Explanation

According to the pythagoras  theorem, 

Sum of the square of the square of the sides making the right angle is equal to the square of the third side.

∴169 = square of the hypotenuse 

⇒ Length of the hypotenuse =  

169

​

 =13 

Hence , the correct option is 13

Explanation

C.P= 4x      ,      S.P = 5x

profit = S.P – C.P = 5x – 4x = x

Profit % = ( Profit/C.P) * 100

               = ( x/4x ) *100 = 25%