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fenix001 [56]
4 years ago
6

Please help! I'm having trouble solving this.

Mathematics
1 answer:
Vanyuwa [196]4 years ago
3 0

1st step:  break each of these arrows (vectors) into their x- and y-components.  The pedestrian vector would be <6,0>.

The wind vector would be <-13cos(45), 13sin(45)>  (Notice the x-component is negative because it is to the left.)

2nd step.  Add the two vectors:  <6, 0> + <-9.1924,9.1924>  =  <-3.1924, 9.1924>    This is the resultant vector in rectangular coordinates.   Now you need the magnitude of this vector.

3rd step:  Magnitude is always positive and it is sqrt[x-coord2 + y-coord2]

Magnitude = sqrt(94.6915598949) = 9.7309588374  rounded to whatever

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The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?
denis-greek [22]

Answer:

Square

Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

1. Find all sides lengths:

PQ=\sqrt{(-3-0)^2+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\QR=\sqrt{(0-4)^2+(4-1)^2}=\sqrt{(-4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\\ \\RS=\sqrt{(4-1)^2+(1-(-3))^2}=\sqrt{(3)^2+(4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\SP=\sqrt{(1-(-3))^2+(-3-0)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5

All sides have the same lengths.

2. Find the slopes of all lines:

PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.

The slopes \frac{4}{3} and -\frac{3}{4} have the product of

-\dfrac{3}{4}\cdot \dfrac{4}{3}=-1,

then lines are pairwise perpendicular.

This means PQRS is a square.

4 0
4 years ago
What is the first step to solve 6x-2=-4x+2
lapo4ka [179]

Answer:

x=2/5 or 0.4

Step-by-step explanation:

6x-2=-4x+2

+4x to both sides

6x+4x-2=2 .

10x=2x+2x

10x=4

3 0
4 years ago
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
leva [86]

Answer:

One

Step-by-step explanation:

An equilateral triangle has equal side lengths.

With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.

The sides of the equilateral triangle can't be mixed up, they must stay the same.

Hope this helps.

7 0
3 years ago
CAN SOMEONE HELP ME WITH THIS?!?!
Nat2105 [25]
.......................:)
7 0
3 years ago
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"Three times a number increased by eleven is seventeen" translates to which of the following equations?
ololo11 [35]
3x + 11 = 17 i think
7 0
3 years ago
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