Question
Write in decimal form and say what kind of decimal expansion: $\frac{{36}}{{100}}$
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Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where,
p(x) = 2x3 - 7x2 + 9x - 13, g(x) = x - 3.
p(x) = 2x3 - 7x2 + 9x - 13, g(x) = x - 3.
Factorize:
a2x2 + (ax2 + 1)x + a
a2x2 + (ax2 + 1)x + a
The diameter of the moon is approximately one-fourth of the diameter of the earth. What is the earth the volume of the moon?
A hemispherical bowl is made of steel 0.5cm thick. The inside radius of the bowl is 4cm. Find the volume of steel used in making the bowl. $\big(\text{Take}\ \pi=\frac{22}{7}\big).$
→Solve the following equations for x:
$2^{\text{2x}}-2^{\text{x}+3}+2^4=0$
→$2^{\text{2x}}-2^{\text{x}+3}+2^4=0$
A school provides milk to the students daily in a cylindrical glasses of diameter 7cm. If the glass is filled with milk upto an height of 12cm, find how many litres of milk is needed to serve 1600 students.
In the given figure, line l is the bisector of an angle $\angle\text{A}$ and B is any point on l. If BP and BQ are perpendiculars from B to the arms of $\angle\text{A},$
Show that:
→Show that:
- $\triangle\text{APB}\cong\triangle\text{AQB}$
- BP = BQ, i.e., B is equidistant from the arms of $\angle\text{A}.$
What must be added to 3x3 + x2 - 22x + 9 so that the result is exactly divisible by 3x2 + 7x - 6?
If the given figure, AOC is a diameter of the circle and arc $\text{AXB}=\frac{1}{2}$ arc BYC. Find $\angle\text{BOC.}$
→
Express the following decimals in the form $\frac{\text{p}}{\text{q}},$ where p, q are integers and $\text{q}\neq0.$
$18.\overline{48}$
→$18.\overline{48}$