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Aliun [14]
3 years ago
5

Can anybody help me with this question?

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer: the answer is (c)

Step-by-step explanation:

Alla [95]3 years ago
7 0
The answer is c cause it’s congruent
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Can some one help me on this and thank u
atroni [7]

Answer:

2<x<3

Step-by-step explanation:

the first one

5 0
3 years ago
Plz help me well mark brainliest if correct...........???
bekas [8.4K]

Answer:

A. Second Grade

Step-by-step explanation:

8 0
3 years ago
Opposite vertices of a rectangular box whose edges are parallel to the coordinate axes are (-5, -6, 3) and (-9, 10, 4) . List th
LuckyWell [14K]

Answer:

C=(-9,-6,-3)

D=(-9,10,-3)

E=(-5,10,-3)

F=(-5,10,4)

G=(-5,-6,4)

H=(-9,-6,4)

Step-by-step explanation:

Its always convenient to name the two points; let's name (-5,-6,3) and (-9,10,4) as A and B respectively.

Also, we can say that these points are Position vectors from the origin!

\overrightarrow{OA}=\begin{bmatrix}-5\\6\\3\end{bmatrix},\quad\overrightarrow{OB}=\begin{bmatrix}-9\\10\\4\end{bmatrix}\\

So in order to find the dimensions of the box, we need to find the distance from OA to OB (aka relative distance \overrightarrow{AB})

\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}

\overrightarrow{AB}=\begin{bmatrix}-9\\10\\4\end{bmatrix}-\begin{bmatrix}-5\\-6\\3\end{bmatrix}

\overrightarrow{AB}=\begin{bmatrix}-4\\16\\1\end{bmatrix}

Now, why did we do this?

  • the vector AB shows the 'direction to go' from the point A to the point B. Now think of point A as it is on the the origin (0,0,0) and if we move -4 steps in the x direction, 16 steps to the y-direction and 1 step to the z-direction, you'll reach the point B. (the directions can be taken in any order)
  • Another cool thing here is that at each individual direction, you're also crossing other vertices of the box.
  • To find the actual coordinates: just add the coordinates of A to the relative vector positions (don't worry if this is confusing, we'll do this below)

So at the point A, the relative distance from A is (0,0,0)

if you add the coordinates of the point A (-5,-6,3) to (0,0,0) you'll get its original position!

a) If we move -4 steps in the direction of x. The relative distance from A will be: (-4,0,0), this is a vertex of the box.

it's original position will be (-4,0,0) + (-5,-6,3) = (-9,-6,-3), let's call it vertexC.

b) If we move 16 steps more in the direction of y. The relative distance from A will be: (-4,16,0) this is a vertex of the box.

it's original position will be (-4,16,0) + (-5,-6,3) = (-9,10,-3), let's call it vertexD.

If we move 1 step more in the direction of z. The relative distance from A will be: (-4,4,1) this is a vertex of the box.

it's original position will be (-4,16,1) + (-5,-6,3) = (-9,10,4) we're back to our point B.

we have found the coordinates of 2 more vertices of the box in total (we need to find 4 more!). Previously, we first took the x-direction then y and z. now we're gonna take the y-direction first, its a different route, but will also take us to B. This will help us meet the other edges of the box

let's go back to our relative position of A (our starting point). (0,0,0)

c) If we 16 steps in the direction of y. The relative distance from A will be: (0,16,0) this is a vertex of the box.

it's original position will be (0,16,0) + (-5,-6,3) = (-5,10,-3), let's call it vertexE.

d) If we move 1 step more in the direction of z. The relative distance from A will be: (0,16,1) this is a vertex of the box.

it's original position will be (0,16,1) + (-5,-6,3) = (-5,10,4), let's call it vertexF.

if we move in the direction of x, we'll be at B. So we're gonna go back and take another different route. This time, we'll start from the z-direction.

let's go back to our relative position of A (our starting point). (0,0,0)

e) If we move 1 step in the direction of z. The relative distance from A will be: (0,0,1) this is a vertex of the box.

it's original position will be (0,0,1) + (-5,-6,3) = (-5,-6,4), let's call it vertexG.

f) If we move -4 steps in the direction of x. The relative distance from A will be: (-4,0,1), this is a vertex of the box.

it's original position will be (-4,0,1) + (-5,-6,3) = (-9,-6,4), let's call it vertexH.

and we have found all the coordinates of the vertices of the box.!

8 0
3 years ago
Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.
NikAS [45]
The easiest way to do this is to put each term in the numerator over the denominator and do the division/reducing for each one.  Like this: \frac{10 x^{6} }{5 x^{2} } + \frac{20 x^{4} }{5 x^{2} } - \frac{15 x^{2} }{5 x^{2} }.  The first term reduces to 2 x^{4}, the second to 4 x^{2}, and the third to 3.  Putting them all together with the signs in between we have 2 x^{4} +4 x^{2} -3
8 0
3 years ago
From the top of a 210 foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees
denpristay [2]
The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
6 0
3 years ago
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