Questions in mathematics

Questions in mathematics

[Free] Work out \( \frac{16gh^2}{5k} \div \frac{24h}{25gk} \). Give your answer in its simplest form.

[Free] Evaluate and write your answer in a + bi form. [4(cos 113° + i sin 113°)]^3 = Round to two decimal places.

[Free] The endpoints of $\overline{A B}$ are $A (13.8,7)$ and $B (6.4,10)$. Find the coordinates of the midpoint.

[Free] Three trigonometric functions for a given angle are shown below. [tex]$\sin \theta=-\frac{77}{85}, \cos \theta=\frac{36}{85}, \tan \theta=-\frac{77}{36}$[/tex] What are the coordinates of point ([tex]$x, y$[/tex]) on the terminal ray of angle [tex]$\theta$[/tex], assuming that the values above were not simplified? A. ([tex]$-77,-36$[/tex]) B. ([tex]$-77,36$[/tex]) C. ([tex]$-36,77$[/tex]) D. ([tex]$36,-77$[/tex])

[Free] If $h(x)$ is the inverse of $f(x)$, what is the value of $h(f(x))$? A. 0 B. 1 C. $x$ D. $f(x)$

[Free] $\triangle R S T \sim \triangle R Y X$ by the SSS similarity theorem. Which ratio is also equal to $\frac{R T}{R X}$ and $\frac{R S}{R Y}$ ? $\frac{X Y}{T S}$ $\frac{S Y}{R Y}$ $\frac{R X}{X T}$ $\frac{S T}{r x}$

[Free] In the number 428356 is b) The smallest even number of 5 digits is

[Free] Write in figures: a) Twenty Nine lakh four thousand five

[Free] Solve the following linear system of equations: [tex]\begin{array}{l} 3 x+y=21 \\ 6 x-4 y=6 \end{array}[/tex] x = y =

[Free] Louisa biked $50 \frac{4}{5}$ miles in 4 hours. How many miles did she bike per hour? Let $m$ represent the number of miles.