Explanation

Explanation

If $\sin A=\sin B$, then:

A=B+360∘n or A=180∘−B+360∘n, where n ∈ Z

Let’s solve:

Case 1:

60∘+X=60∘⇒X=0∘

Case 2:

$$60^circ + X = 180^circ - 60^circ = 120^circ Rightarrow X = 60^circ$$

Possible values of X:

$$X = 0^circ quad text{or} quad X = 60^circ$$

Explanation

Explanation

21

Solution

Verified by Toppr

Explanation

Let's consider the radius is r and therefore the Area will be πr².

Now the radius is increased by 4 times than the Area would be.

π(4r)² or the area would work to 16 times (4²=16).

Explanation

The 5th term of the given geometric progression (G.P.) is 48. The sequence is 3, 6, 12, ...

The common ratio is 2 (6/3 = 2, 12/6 = 2).

Using the formula for the nth term of a G.P., a_n = a * r^(n-1),

where a is the first term and r is the common ratio, the 5th term (a_5) is 3 * 2^(5-1) = 3 * 2^4 = 3 * 16 = 48. 

Explanation

Any sloping line is called diagonal

A quadrilateral has two diagonals.

Explanation

A = 5ab; make b the subject of the formula.

A = 5ab

A/5a = b (required formula)

ND2-03-2023

Explanation

This is an arithmetic sequence with:

• First term $a=1$

• Common difference $d=4-1=3$

General formula for the
$n$th term of an arithmetic sequence:

$$T_n = a + (n - 1)d$$

We need the 101st term:

$$$$
T_{101} = 1 + (101 - 1) times 3 = 1 + 100 times 3 = 1 + 300 = boxed{301}

Explanation