Explanation

Coterminal angles differ by full rotations of 360°.

To find a coterminal angle of -60°, add or subtract 360°:

-60° + (-360°) = -420° → This is coterminal with -60°.

So, -420° and -60° share the same terminal side.

Explanation

Universal set (U) = {1, 2, 3, 4, 5, 6}

Set A = {2, 3}

Complement of A means all elements in U that are not in A → {1, 4, 5, 6}

Explanation

The expression (x^2 + 2) / (x^2 + 2x + 2) is an improper fraction.

Because the degree of the numerator is equal to the degree of the denominator.

Explanation

Given ratio:

Sand : Cement = 4.8 : 2

Let's find the factor by which 4.8 is multiplied to get 6 kg of sand:

6 kg / 4.8 = 1.25

Now, multiply the cement ratio by this factor:

Cement needed = 2 × 1.25

= 2.5 kg

Explanation

The discriminant (D) of a quadratic equation ax^2 + bx + c = 0 is given by:

D = b^2 - 4ac

Given:

a = 1, b = 9, c = 2

D = 9^2 - 4(1)(2)

= 81 - 8

= 73

Explanation

Given:

(x + 1)(x - 5) = 0

This implies:

x + 1 = 0 or x - 5 = 0

Solving for x:

x = -1 or x = 5

Explanation

The equation is:

(y + 13)(y + a) = 0

Expanding it:

y^2 + ay + 13y + 13a = 0

y^2 + (a + 13)y + 13a = 0

For no linear term, the coefficient of y should be 0:

a + 13 = 0

a = -13

Explanation

Area of a pizza (circle) = π × r², where r = b

With crust thickness a, and using π ≈ n,

Value (volume-like expression) becomes:

n × b² × a = nb²a

Explanation

A central angle of 90° represents one-quarter of the full circle (360°).

Therefore, the proportion of that part is 25%.

Explanation

Given frequencies:

10–20 → 12

20–30 → 18

30–40 → 10

40–50 → 5

50–60 → 2

The minimum frequency is 2, which corresponds to class 50–60.