With explanations please
1.) A ship leaves port and travels 21km on a bearing of 032° and then 45km on a bearing of 287°
a) Calculate it's distance from the port
b) Calculate the bearing of the port from the ship

2.) A surveyor leaves her base camp and drives 42 km on a bearing of 032°,she then drives 28km on a bearing of 154°. How far is she then from her base camp and what is her bearing from it?​

Answer: (-6,10)

Step-by-step explanation:

Since you are reflecting over the y-axis, the x value becomes the negative

The coordinates for R' the reflected point are (-6,10).

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting a point (x,y) along x axis, then its

f=x

abscissa will stay same but

f=y

ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

We are given that;

The point R(6, 10)

Now,

When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.

So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).

Therefore, by reflection answer will be (-6,10).

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ3

Answer:

Step-by-step explanation:

I used the formula

V=πr^2h

Hope this helps! (brainliest pls?)

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

Answer:

The answer is 24

Step-by-step explanation:

What you can do is add all of the numbers (31 + 33 + 35 + 37 + 39)

[tex]31 + 33 + 35 + 37 + 39=175[/tex]

Then subtract 199 by 175

[tex]199-175=24[/tex]

To check add them all together

[tex]31 + 33 + 35 + 37 + 39+24=199[/tex]

Hope this helps

Answer:

-3 or (-3,0)

Step-by-step explanation:

When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)

Answer:

image attached

Step-by-step explanation:

see attached

Answer:

can u please add the statements.

Step-by-step explanation:

Answer:

- ²⁾4/7 = - 8/14

⁷⁾1/2 = 7/14

- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14

al3xis

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Answer: C. Nine Months, 9/12 = 9÷12 = 0.75

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.083333

C. Nine Months, 9/12 = 9÷12 = 0.75

Feel free to ask for more if needed or if you did not understand something.

The right answer is 6.

Please see the attached picture for full solution.

Hope it helps...

Good luck on your assignment

Answer:

i believe the answer is 6

Step-by-step explanation:

comment if u want an explanation cus i cba to write one for no reason

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

Answers:

Look at the attached picture

Hope it will help you

Good luck on your assignment....

Answer:

7000 mg = 7 g

18500 g = 18.5 kg

22 g = 22000 mg

4.7 kg = 4700 g

8.3 kg = 8300 g

135000 mg = 135 g

Step-by-step explanation:

First we need to use some important conversion rates so I will write them for below

1 Milligram (mg) = 0.001 Grams (g)

1 Gram (g) = 0.001 Kilogram (Kg)

1 Gram (g) = 1000 Milligrams (mg)

1 Kilogram (Kg) = 1000 Grams (g)

Using the above conversion rates we can solve these questions

Question 1

7000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 7000 = 7 grams

Question 2

18500 g = ? kg

Using the information at the top 1 Gram (g) = 0.001 Kilogram (Kg) so,

18500 ÷ 1000 = 18.5 kg

Question 3

22 g = ? mg

Using the information at the top 1 Gram (g) = 1000 Milligrams (mg) so,

22 × 1000 = 22000 mg

Question 4

4.7 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

4.7 × 1000 = 4700 g

Question 5

8.3 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

8.3 × 1000 = 8300 g

Question 6

135000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 135000 = 135 grams

Answer:

t = - 0.8

Step-by-step explanation:

9.75t -9.75t + 9 = 13.5t - 9.75t+ 12

9 = 3.75t +12

9 - 12 = 3.75t

- 3 /3.75= 3.75 t/3.75

- 0.8 = t

Answer:

∴ t= -0.8

Step-by-step explanation:

9.75t + 9 = 13.5t + 12

9.75t-13.5t=12-9

-3.75t=3

-t=3/3.75

-t=0.8

∴ t= -0.8

Hope this helps..Pls mark as Brainliest!!

Answer:

C 36+ w= 3w+4; 16 pounds

Step-by-step explanation:

jason weighs 36

jason's sister weighs w

together they weigh 36+w

Then ,We can model the statement:

“together he and his sister weigh four pounds more than three times the weight of his sister”.

like this :

36+ w= 3w+4

Answer:

42°

Step-by-step explanation:

all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42

Answer:

30 cm²

Step-by-step explanation:

we need to find h

V=πr²h

h=V/πr²

h=210/14²π

h=0.341

then we found curved surface area

A=2πrh

A=2×π×14×0.341

curved surface are= 30 cm²

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]

so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex]  with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])

is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]

hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]

so[tex]1-\frac{1}{\sqrt{2} }[/tex]

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!

Answer:

The answer for this question is Quadrant III

Hey!!!!

(-3,12) lies in Quadrant II.

please see the attached picture.

Hope it helps...

Good luck on your assignment...

Stay safe..

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

[tex]y_{2}-y_{1}=-9-(-6)[/tex]

           = -3

[tex]y_{3}-y_{2}=-12-(-9)[/tex]

           = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-9+6}{1-0}[/tex] = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answer:

tanθ = [tex]\frac{8}{15}[/tex]

Step-by-step explanation:

By applying tangent rule in the given right triangle ROE,

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tanθ = [tex]\frac{RO}{OE}[/tex]

tanθ = [tex]\frac{8}{15}[/tex]

Therefore, answer will be tanθ = [tex]\frac{8}{15}[/tex]

Answer:

250

Step-by-step explanation:

1000 divided by 4 is 250

Answer:

The area of the pen would be 24 feet.

Step-by-step explanation:

6 multiplied by 4 is 24.

Answer:

24 feet squared

Step-by-step explanation:

the area of a rectangle = l x w

length = 6

width = 4

therefore, 4x6=24

Answer: 78 %

Step-by-step explanation:

Sales - cost = profit

712-400 = 312

As a percentage 312/400 * 100= 78

Answer:

78%

Step-by-step explanation:

712 -400 = 312

312/400 x 100 = 78

Answer: Oysx-1

Step-by-step explanation:

I did same thing and got it right.

Answer:

I think its I,II,III

because first r+q = 90 as we'll as z= 90

second s and z are vertically opposite angles and so are equal

third x+s+r= 180 degrees because they are on a straight line

The answer is 120 have a great day.  Step-by-step explanation:

Answer:

x = 3 or x = -1

Step-by-step explanation:

     25^x = 5^(x^2 - 3)

<=> (5^2)^x = 5^(x^2 - 3)

<=> 5^(2x) = 5^(x^2 - 3)

<=> 2x = x^2 - 3

<=> x^2 - 2x - 3 = 0

<=> x^2 + x - 3x - 3 = 0

<=> x(x + 1) - 3(x + 1) = 0

<=> (x - 3)(x + 1) = 0

<=> x = 3 or x = -1

I hope this helps!

Answer:

good luck

Step-by-step explanation: