Questions in mathematics

Questions in mathematics

📝 Answered - Let triangle ABC have lengths of sides opposite angles A and C as 2 and 6 units, respectively. If angle C is 60°, then find angle A.

📝 Answered - Which is equivalent to $(\sqrt[3]{125})^x$? A. $125^{\frac{1}{3} x}$ B. $125^{\frac{1}{3 x}}$ C. $125^{3 x}$ D. $125^{\left(\frac{1}{3}\right)^x}$

📝 Answered - If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of [tex]$x$[/tex]? A. [tex]$x$[/tex] units B. [tex]$x \sqrt{2}$[/tex] units C. [tex]$x \sqrt{3}$[/tex] units D. [tex]$2 x$[/tex] units

📝 Answered - Use factoring to determine how many times the graph of each function intersects the $x$-axis. Identify each zero. 30. $y=x^2-8 x+16$ 31. $y=x^2+4 x+4$ 32. $y=x^2+2 x-24$ 33. $y=x^2+12 x+32$

📝 Answered - If the diameter of a youth baseball is 2.8 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? Use 3.14 for [tex]$\pi$[/tex]. Round to the nearest tenth. Recall the formula for the volume of a sphere: [tex]$V=\frac{4}{3} \pi r^3$[/tex]. A. 1.0 cubic inch B. 17.2 cubic inches C. 40.2 cubic inches D. 137.8 cubic inches

📝 Answered - Use the Comparison Test to determine whether the series converges. [tex]\sum_{n=1}^{\infty} \frac{\sin ^2(n)}{n^2}[/tex] Identify [tex]b_n[/tex], the series to be used for comparison, and identify the relationship between [tex]a_n[/tex] and [tex]b_n[/tex]. [tex]\begin{array}{l} a_n=\frac{\sin ^2(n)}{n^2} \ b_n=\square \ a_n ? \vee b_n \end{array}[/tex] Since [tex]\sum b_n[/tex] is [$\square$] --Select--and [tex]a_n[/tex] [$\square$] ? [tex]b_n[/tex] for all [tex]n[/tex], [$\square$] --Select--.

📝 Answered - What is the slope of a line that is perpendicular to the line [tex]$y=1$[/tex]?

📝 Answered - What are the solutions to the equation $\frac{w}{2 w-3}=\frac{4}{w}$? A. $w=-6$ and $w=-2$ B. $w=0, w=2$, and $w=6$ C. $w=0$ and $w=\frac{3}{2}$ D. $w=2$ and $w=6$

📝 Answered - A triangle has an area of $29.7 cm^2$ and a base of 13.5 cm. Use the formula $A=\frac{1}{2} b h$ to find the height. A. $h=4.2 cm$ B. $h=4.7 cm$ C. $h=4.1 cm$ D. $h=4.4 cm$

📝 Answered - The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle? $(21+12) \div 2$ $(21 \times 12) \times 2$ $(21 \times 12) \div 2$ $(21+12) \times 2$