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kozerog [31]
3 years ago
11

Draw a vector representing the course of a ship that goes 75 miles on a

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

We have a vector with a magnitude of 75 miles and a direction of 300 °.

To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 300 ° is in the fourth quadrant (270 ° - 360 °), that is, it would be 30 ° (300 ° - 270 °) with respect to to the y axis negative.

Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 75 miles, that is, this value would be the hypotenuse.

The value on the x-axis can be calculated using the sine of the angle, like this:

sin 30 ° = x / 75

x = sin 30 ° * 75

x = 37.5

Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:

y ^ 2 = 75 ^ 2 - 37.5 ^ 2

y ^ 2 = 4218.75

y = 64.95, -64.95 because it must be located in the fourth quadrant

Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (37.5, -64.95).

Then I leave a sketch of what it would be:

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Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−13x+4.
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Answer:

y = -13x + 55

Step-by-step explanation:

perpendicular formula : m1 × m2 = -1

y = -13x + 4

now we take the grafient of the equation which is 13 :

m × 13 = -1

m = -13

so now we hv a new gradient then we can find the equation use the formula y = mx + c :

m = -13 point = ( 4 , 3 )

sub them into the formula,

3 = -13 (4) + c

3 = -52 + c

3 + 52 = c

55 = c

c = 55

now we rewrite again the c and the m to become a complete equation : y = -13x + 55

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The graph of the line x=-4 is a horizontal line
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Step-by-step explanation:

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2 years ago
What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
11111nata11111 [884]

Answer:

R' = (-1,-0.5)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

P = (-3,-3)

R = (1,2)

Dilation:

D_{(0.5,P)}

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

R = (1-(-3),2-(-3))

R = (1+3,2+3)

R = (4,5)

Next, apply dilation factor 0.5

R' = R * 0.5

R' = (4,5) * 0.5

R' = (4* 0.5,5* 0.5)

R' = (2,2.5)

Lastly, measure R' from the origin by adding the coordinates of P to R'

R' = (2+(-3),2.5+(-3))

R' = (2-3,2.5-3)

R' = (-1,-0.5)

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(c) Write these fractions in order of size.
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11/12, 3/4, 5/8, 9/20 (from smallest to biggest)

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