Explanation

√15129 = 123, which has 3 digits.

So, the number of digits in the square root of 15129 is 3.

Explanation

Explanation

2994 ÷ 14.5 = 172

We can cross-multiply to get:

2994 × 14.5 = 172 × 100 (multiplying both sides by 100)

Then, we can convert the percentages to decimals by multiplying both sides by 0.01:

29.94 × 145 = 1720

Finally, we can divide both sides by 100 to get:

29.94 × 1.45 = 1720 ÷ 100

= 17.2

Explanation

A triangle has three edges

Its three sides.

It also has three vertices, which are each corner where two edges meet.

Explanation

81 = 3 × 3 × 3 × 3 = 3⁴

All factors are prime, so it's the correct prime factorization.

Explanation

9592 ÷ 22 = 436

Quotient means the result of division without remainder.

Explanation

Empty set is, in fact, a subset of every set, including itself, because the definition of a subset allows the empty set to be considered a subset of any set.

The intersection of the empty set with any set is always the empty set, making statements about it true.

Explanation

Explanation

To solve, subtract 3/7 from 10/7:

10/7 - 3/7 = 7/7 = 1.

Therefore, the missing value is 1.

Explanation

The conjugate of a complex number or expression is obtained by changing the sign of the imaginary part or irrational part.

The given expression is -3 - √5, so its conjugate is -3 + √5.