Algebra
Geometry
Trigonometry

100

Solve for x:

3x + 4 = 19

X = 5

100

What is the sum of interior angles of a triangle?

180°

100

Find the value of tan 45

1

200

Simplify:

2(x + 3) - 4(x - 2)

-2x + 10

200

Find the area of a triangle with a base of 10m and height of 8m. Give answer in cm².

400,000 cm²

200

Solve for x in the equation 2 sin x = 1, for 0 <= x <= 360

x = 30 degrees, 150 degrees

300

Solve for x:

2x+3/5 = 7

X = 16

300

In a right-angled triangle, if one leg is 3 cm and the hypotenuse is 5 cm, find the other leg.

4cm

300

Find the length of the hypotenuse of a right triangle with legs of length 5 cm and 12 cm.

13 cm

400

Factorize:

x^2 + 5x + 6

(x+2) (x+3)

400

A regular pentagon has an interior angle of 108°. Find the sum of the interior angles of the pentagon.

540°

400

Given  tan theta = 2 , find  sin theta  in terms of  cos theta .

Sin theta = 2/ underroot 1+4 

500

Solve the simultaneous equations:

2x + y = 10 and x - y = 3

x = 5, y = 0

500

In a circle, the length of an arc is 10 cm, and the radius is 7 cm. Find the angle subtended by the arc at the center in radians.

 10/7  radians 

500


Solve the equation  sin 2x = 1/2  for 0<=  x <= 360

X = 15,75,195,255

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