What do we mean when we refer to a mineral's tenacity? List three terms that describe tenacity.

What do we mean when we refer to a mineral’s tenacity? List three terms that describe tenacity.

a Are these triangles congruent?

The given triangles are $\triangle ABC$ and $\triangle DEF$. The vertices of the $\triangle ABC$ are at A(-2,-2), B(-2,1), and C(3,-2) while the length of the $\triangle DEF$ are $\overline{DF}$=3, $\overline{DE}$=4, and $\overline{FE}$=5.

A. Yes

B. No

b What if C in the triangle above was at (2,-2)? Would the triangles be congruent in that case?'

A. Yes

B. No

$$\begin{array} { l } { \text { In } \triangle \mathrm { DEF } } \\ { \mathrm { DF } = 6.0 \mathrm { km } } \\ { \angle \mathrm { E } = 44 ^ { \circ } } \\ { \angle \mathrm { F } = 90 ^ { \circ } } \end{array}$$

a) Draw this triangle and label the given information. b) Solve $\triangle \mathrm { DEF }$

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\cos D$$

True/False. If $\mathbf{f}: \mathbf{R}^{3} \rightarrow \mathbf{R}^{4}$ is differentiable, then Df(x) is a $3 \times 4$ matrix.

Perform the operation : $DF$, where matrices $A$ and $C$ are :

$$D= \begin{bmatrix} 3 & 0\\ 1 & -1 \\ 2 & 5 \end{bmatrix} \ \ \ \ F= \begin{bmatrix} 1 \\ 0 \\ -1 \end{bmatrix}$$

If $F(x, y, z)=\left(5 x^2 y / z^3\right), x=t^{3 / 2}+2, y=\ln 4 t$, and $z=e^{3 t}$, find dF/dt in terms of x,y,z, and t.

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\cos F$$

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\tan F$$

If in $\triangle \mathrm{A B C}$ and $\triangle \mathrm{D E F}$, AB = DE, $\mathrm{m} \angle \mathrm{A B C=\mathrm{m} \angle E D F}$, BC = DF, $\mathrm{A C}=(20 x-10)$, and $\mathrm{E F}=(15 x+15)$, what is the value of x?

$\triangle A B C \sim \triangle F D E$. What is DE?

Given that the length of $\overline{AC}=12$, $\overline{BC}=8$, $\overline{EF}=18$, and $\overline{DF}=6$

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\sin D$$

Suppose that the differentiable function y=f(x) has an inverse and that the graph of f passes through the point (2,4) and has a slope of 1/3 there. Find the value of df^{-1} / dx at x=4.