Explanation

0.25:X::X:0.04

0.25*0.04=x²

25/100 *4/100 =X²

100/10000=x²

1/100=x²

Taking square root on b.s

1/10=X

0.1=X

So option B is the right answer.

SH8-24-2023

Explanation

To convert, multiply 102 m/sec by 3.6 (because 1 m/sec = 3.6 km/h).

102 × 3.6 = 367.2 km/hour.

Explanation

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both.

Since (a - b)^4 and (a - b)^3 are both powers of (a - b), their LCM is the highest power of (a - b) between them:

LCM = (a - b)^4

Explanation

294 × 6 = 1764 = 42²

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

• Divide 100 by 50: 100 ÷ 50 = 2
• Multiply 2 by 2: 2 × 2 = 4

So, the correct answer is: 4

Explanation

To find the quotient, divide 9528 by 48:

9528 ÷ 48 = 198.5

Since the quotient typically refers to the whole number part when dividing integers:

The whole number part of the quotient is 198.

Explanation

The smallest two-digit number is 10.

The largest two-digit number is 99.

Subtract the smallest from the largest:

99 - 10 = 89

Explanation

To add these numbers, convert them to base 10, add, and then convert back to base 5:

(34)₅ = 3 × 5¹ + 4 × 5⁰ = 15 + 4 = 19

(44)₅ = 4 × 5¹ + 4 × 5⁰ = 20 + 4 = 24

Add the base 10 equivalents:

19 + 24 = 43

Convert the sum back to base 5:

43 = 3 × 5² + 1 × 5¹ + 3 × 5⁰

= (133)₅

Explanation

Explanation