গণিত

$\text{If } 5^x + 1 - 2 \times 5^x - 3 = 0 \$text{, what is the value of } x?

Given A = 2i - 3j + 4k and B = i + 2j - k , what is the value of the dot product A. B?

A right-angled triangle has a hypotenuse of length 10 cm and one of its acute angles measures

$30^\circ$

.

What are the lengths of the other two sides?

The perimeter of a rectangle is 24 inches, and its length is 3 times its width. What are the length and the width of the rectangle?

A circle has a radius of 30 cm. Determine the length of the arc subtended by an angle of

$60^\circ$

at the center of the circle.

Find the value of k if the distance between (k, 3) and (2, 3) is 5.

What is the area under the curve y = x ^ 2 from x = 0 to x =1?

What is the probability of getting sum as 7 when two dice are thrown?

In how many ways can a committee of 4 people be chosen out of 8 people?