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Questions in mathematics

[Jawaban] A wall in Maria's bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the $45^{\circ}-45^{\circ}-90^{\circ}$ triangle theorem, find the value of $h$, the height of the wall.

[Jawaban] Find the exact value of the following expression. $\sin ^{-1}\left(\frac{\sqrt{2}}{2}\right)$

[Jawaban] Find the equation of the line parallel to $y=4 x-2$ that includes the point $(0,-9)$. Give your answer in Point-Slope Form. $y+9=[?](x-[)$

[Jawaban] Solve for $r$ in the proportion. $\frac{10}{3}=\frac{r}{3.9}$

[Jawaban] Consider circle $Y$ with radius 3 m and central angle $X Y Z$ measuring $70^{\circ}$. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

[Jawaban] Find the zeros of the quadratic function: [tex]$f(x)=x^2+10 x+24$[/tex] A. [tex]$x=4$[/tex] [tex]$x=6$[/tex] B. [tex]$x=-8$[/tex] [tex]$x=-3$[/tex] C. [tex]$x=8$[/tex] [tex]$x=3$[/tex] D. [tex]$x=-4$[/tex] [tex]$x=-6$[/tex]

[Jawaban] Find $\frac{d z}{d \theta}$ if (i) $z=\sin ^n \theta$ (ii) $z=\cos ^m \theta$ (iii) $z=\sin ^n \theta \cos ^m \theta$.

[Jawaban] Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Solve the two-step equation. $\begin{array}{l} -\frac{2}{3} x-\frac{21}{4}=\frac{27}{4} \\ x=\square \end{array}$ Show result

[Jawaban] Determine which of the following are tautologies, contradictions, or contingencies: 1. (P → ¬P) → ¬P 2. (P → (q → r)) → ((P → q) → (P → r))

[Jawaban] 7. Among the following, an irrational number is: a) 0.15 b) 0.1516 c) 0.1