Explanation

Given:

Capacity = 50000 litres = 50 cubic meters (since 1 cubic meter = 1000 litres)

Length (l) = 2.5 m

Depth (h) = 10 m

Let's use the formula for the volume of a cuboid:

Volume = length × breadth × height

50 = 2.5 × breadth × 10

Now, solve for breadth (b):

50 = 25b

b = 50/25

b = 2 m

Explanation

Given:

Dishwasher washes 12 dishes in 6 minutes

Time = 3 hours = 180 minutes

Step 1: Dishes per minute

12 dishes / 6 minutes = 2 dishes per minute

Step 2: Total dishes in 180 minutes

2 × 180 = 360 dishes

Explanation

. Starts facing North, moves 7 km North.  

2. Turns West, moves 2 km.  

3. Turns South, moves 4 km → Now he's (7 - 4) = 3 km North from start.  

4. Turns West again, moves another 2 km → Total 4 km West.

So, from starting point, he's 3 km North and 4 km West.

Use Pythagoras theorem to find distance from start:

Distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km

Explanation

8.73³ = 665.6

4.27³ = 171.4

Total = 665.6 + 171.4 = 837.0

Explanation

Let's assume the retail price is 100.

The distant price is 20% less than the retail price:

Distant price = 100 - (20% of 100)

= 100 - 20

= 80

James purchased the book at a 30% discount on the distant price:

Discount = 30% of 80

= 0.3 × 80

= 24

Price James paid = 80 - 24

= 56

As a percentage of the retail price:

(56/100) × 100 = 56%

Explanation

6*3=18

9*5=45

18*7=126

45*9=405 

Explanation

To find the square of the distance between two points $A(x_1, y_1)$ and B(x2​,y2​):

AB^2=(x2​−x1​)^2+(y2​−y1​)^2 $$= (3 - 4)^2 + (5 - (-1))^2 = (-1)^2 + (6)^2 = 1 + 36 = 37$$

=(−1)^2+(6)^2

=1+36

$$=37$$

Explanation

 We need to calculate:

Step 1: Find the Values

From trigonometric values:

• sin90∘=1
• cos90∘=0

Step 2: Multiply

Final Answer:

0

Explanation

Explanation