Explanation

The sum of the interior angles of a triangle is 180 degrees.

x-35 + x-25 + 1/2x - 10 = 180

2.5x -70 = 180

2.5x = 250

x=100

Explanation

Using speed =TimeDistance​

⇒Time=speeddistance​

We have total time =60100​+40100​=625​Hr

Now, Average speed =Time(tot)​Distance(tot)​​=625​200​

⇒ Average spped =251200​=48km/h

Explanation

Let the principal be Rs. P. 
According to the question,
∴270.40=P(1+1004​)2 
⇒270.40=P(1+0.04)2
⇒P=1.04×1.04270.40​ = Rs. 250
Hence, the principal is Rs. 250.

Explanation

Here M1 = 30, D1 = 16,
T1 = 9, M2 = 36 and T2 = 8
By formula, M1D1T1 = M2D2T2
30 x 16 x 9 = 36 x D2 x 8
∴ D2 = (30 x 16 x 9)/(36 x 8) = 15 days

Explanation

892 squared, (892)2, is the number you get when multiplying 892 times 892.

It can also be looked at as exponentiation involving the base 892 and the exponent 2.

The square of 892 is a perfect square because the number is the product of the two equal integers 892.

It can be written as 892 × 892 or in exponential form.

795664

Explanation

Additional Conversion Points:

• 1 meter = 100 centimeters
• 1 kilometer = 1000 meters
• 1 centimeter = 10 millimeters

Explanation

Given, A= Rs.9680,T=2 years,R=12%

∵A=P(1−100R​)
9680=P(1−10012​)2

9680=P(10088​)2
P=9680×2225​×2225​
= Rs. 12,500

Explanation

Waking - 1/3 hours = 20 min

Motorbike ride = 1/2 hours = 30 min

Total journey = 20 + 30 = 50 min

Portion of Bike ride = 30/50 = 0.6

ND16-3-2023

Explanation

3/4=0.75

5/6=0.833

1/2=0.5

2/3=0.66

4.5=0.8

9/10=0.9

Clearly 0.8 lies between 0.75  and .833

4/5 lies between 3/4 and 5/6 .

Explanation

The kilometre is a unit of length in the metric system, equal to one thousand meters.