Non right triangles questions and answers

Consider the non-triangle below. Suppose that ${\displaystyle \mathrm{\angle }ACB={103}^{\circ }}$ and ${\displaystyle m\mathrm{\angle }BAC={44}^{\circ }}$, and that $y=50.5cm$. What of the value of X?

Given a triangle with all angles equal and sides equal to:
1. $3x-5$
2. $4x-30$
3. $2x+20$
Find the value of x.

Suppose that ${\displaystyle m\mathrm{\angle }BCA={70}^{\circ }}$, and $x=33$ cm and $y=47$ cm. What is the degree measure of ${\displaystyle \mathrm{\angle }ABC}$?

The base of a pyramid covers an area of 13.0 acres (1 acre =43,560 ${\displaystyle f{t}^2}$) and has a height of 481 ft . Ifthe volume of a pyramid is given by the expression $V=(\frac{1}{3})$bh, where b is the area of the base and his the height, find the volume of this pyramid in cubicmeters.

[Triangle] Determine the measure of each interior angle of △MAN and classify the triangle.$\mathrm{△}MAN$ is a(n)_______________ triangle.

comprehension check for derivatives of trigonometric functions:
a) true or false: if ${\displaystyle fprime\left(\theta \right)=-\sin \left(\theta \right),thenf\left(\theta \right)=\cos \left(\theta \right).}$
b) true or false: ${\displaystyle If\theta }$ is one of the non right angles in a right triangle and $\sin (\theta )=2/3$, then the hypotenuse of the triangle must have length 3.