Explanation

Let's evaluate the equation:

(1/4 + 5/8) = 2/8 + 5/8 = 7/8

(1/2 + 3/4) = 4/8 + 6/8 = 10/8 = 5/4

Add the two expressions:

(7/8) + (5/4) = 7/8 + 10/8 = 17/8

So, the equation evaluates to 17/8.

Therefore, the correct answer is 17/8.

Explanation

The square root of 169 is 13, since 13 multiplied by 13 (13²) equals 169.

Explanation

• Roni covers 100 meters in 45 seconds.
• Willy covers 100 meters in 36 seconds.

1. Roni's speed:

   Speed of Roni=100 m / 45 s​=20​/9 m/s

2. Distance Roni covers in 36 seconds:

   Distance=Speed×Time=20/9​×36=80 m

3. Since Willy finishes the race (100 m) when Roni has only covered 80 m, Willy beats Roni by:

   $$100-80=20\text{ m}$$

Explanation

 46+37+29+5+14+33=164

Explanation

an isosceles triangle has equal in sides and in equal angle

Explanation

In Maths, a straight angle is an angle equal to 180°.

It is called straight because it appears as a straight line.

Explanation

If 20% of the students are girls, then the remaining percentage (100% - 20% = 80%) represents the boys.

So, in a class of 40 students:

80% of 40 = (80/100) * 40 = 0.8 * 40 = 32

Therefore, there are 32 boys in the class.

Explanation

Explanation

As we all know

Circumference of the circle: 2πr

The radius of the circle: r

Ratio = 2πr : r = 2πr/r = 2π

Thus we conclude that 2π:1

Explanation

To find the time taken, subtract the departure time from the arrival time.

Departure time: 22:55

Arrival time: 06:05 (next day)

First, convert the times to a 24-hour clock:

Departure time: 22:55

Arrival time: 06:05

Subtract the departure time from the arrival time:

06:05 - 22:55 = 7 hours 10 minutes

Therefore, the time taken for the journey is 7 hours 10 minutes.