If you're good at bearings please help me

A plane, P, takes off from an airport, A, at 10:15 a, and flies on a bearing S30E at a speed of 700 km/h


Question one
How far due south of the airport, A, is the plane at 1:45 pm?

Question two
What's the compass bearing of the airport from the plane then?

Answer:

29

Step-by-step explanation:

The formula for lower quartile(Q1) = 1/4(n + 1)th term

Where n = number of terms.

For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 79

4th term = 81

3.25th term = 79 + 81/2

= 160/2

= 80

For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 51

4th term = 51

3.25th term = 51 + 51/2

= 102/2

= 51

The difference between the lower quartile of Data Set A and Data Set B =

80 - 51 = 29

Answer:

Tina

Step-by-step explanation:

Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.

Answer: D

Step-by-step explanation:

It is the only graph with 3 on 40-49.

Hope it helps <3

The angle ABC is best described as inscribed angle.

Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.

Diameter is the largest chord.

Given is a circle.

There are two chords which are defined on the circle as AB and BC.

The angle between the two chords is marked as 44°.

Obtuse angle is the angle which is greater than 90°.

Central angle is the angle formed at the center of the circle.

Vertical angle is formed vertically to another angle.

Inscribed angles are those which are formed inside the circle when two chords intersect on the circle.

So ∠ABC is an inscribed angle.

Hence the angle ABC is an inscribed angle.

Learn more about Inscribed Angles here :

https://brainly.com/question/16475520

#SPJ7

Answer:

-3

Step-by-step explanation:

To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.

Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.

I hope this helped.

Answer:

1. 5²

2. 6p⁵

3. y⁶

4. 1/5w²

5. n⁶/9p⁷

7. 12²

8. 2/5

Answer:

y=4x-5

Step-by-step explanation:

y=mx+b,

You can identify that the y-intercept is -5.

Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.

Slope = 4

Y-intercept=-5

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

 First we have to find slope (m) of line.

                       [tex]m=\frac{0-(-5)}{1-0} =5[/tex]

So, equation of line becomes,

                           [tex]y=5x+c[/tex]

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  [tex]y=5x-5[/tex]

Learn more:

https://brainly.com/question/11552995

Answer:

domain: x cant be equal to 3.75

Step-by-step explanation:

I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.

Anyway, here are my calculations. If the help you somehow to solve the question - great!

If not,srry to disappoint you

[tex]\text{Molly used the addition property of equality}\\\\\text{In the equation shown in the question, you can see that Molly is trying}\\\text{to find the value of "d"}\\\\\text{In order to do this, she must get the "d" variable by itself}\\\\\text{To do this, she adds "3d" to both sides to get the "d" variable on one side}\\\\[/tex]

Answer:

Step-by-step explanation:

Let the numbers be x and y

Sum = x + y

Sum = one number + 20

[tex]x + y = x + 20[/tex]

Cancel equal terms on both sides of the equation.

[tex]y = 20[/tex]

Again,

Finding another number

Sum = other number + 18

[tex]x + y = y + 18[/tex]

Cancel equal terms on both sides of the equation

[tex]x = 18[/tex]

Hence, The two numbers are 18 and 20.

Hope this helps..

Best regards!

Answer:

correct answer is D

Step-by-step explanation:

Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6

Step-by-step explanation:

Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)

Answer:  8x⁸y - 6

Step-by-step explanation:

[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]

Answer:

23

Step-by-step explanation:

We can write h^8 as h^(4+4) = h^4*h^4. So buried inside h^8 are two copies of h^4 multiplied together

So both terms have a greatest common factor of h^4

If you had something like h^4 + h^8, then it would factor to h^4(1 + h^4)

Answer:

Its the first answer 24

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

Answer:

1680

Step-by-step explanation:

you can use a calculator or do the normal operation

Answer:

Step-by-step explanation:

[tex](4x + 2)(5 {x}^{2} + 10x + 3)[/tex]

Multiply the second parentheses by each term from the first parentheses

[tex]4x( {5x}^{2} + 10 x + 3) + 2(5 {x}^{2} + 10x + 3) [/tex]

Distribute 4x through the parentheses

[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 2(5 {x}^{2} + 10x + 3)[/tex]

Distribute 2 through the parentheses

[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 10 {x}^{2} + 20x + 6[/tex]

Collect like terms

[tex]20 {x}^{3} + 50 {x}^{2} + 32x + 6[/tex]

Hope this helps...

Best regards!!

Answer:

[tex]B(x,y) = (-3,0)[/tex]

Step-by-step explanation:

Given

[tex]A = (6,-6)[/tex]

[tex]C = (-6,2)[/tex]

[tex]AB = \frac{3}{4} AC[/tex]

Required

Find coordinates of B

First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]

SInce [tex]AB = \frac{3}{4} AC[/tex], then

[tex]AB : BC = 3 : 4 - 3[/tex]

[tex]AB : BC = 3 : 1[/tex]

The coordinates of B can then be calculated as follows;

[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]

Where

[tex]A(x_1,y_1) = A(6,-6)[/tex]

[tex]C(x_2,y_2) = A(-6,2)[/tex]

[tex]m:n = 3 : 1[/tex]

Substitute these values in the given formula;

[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]

[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]

[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]

[tex]B(x,y) = (-3,0)[/tex]

Hence, the coordinates of B is [tex](-3,0)[/tex]

Answer:

1296 males

Step-by-step explanation:

Males in Weston: 4320*0.45 = 1944

Married Males in Weston: 1944*2/3 = 1296

Answer:

Answer is 1296 (For me if I add commas it would mark my answer wrong)

Step-by-step explanation:

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

Answer:

[tex]\boxed{66.67\%}[/tex]

Step-by-step explanation:

[tex]\frac{60}{90}[/tex]

[tex]=\frac{2}{3}[/tex]

[tex]\approx 66.67\%[/tex]

60 is 66.67 percent of 90.

66,(6) %

90 ............... 100%

60 ....................X%

X = 60×100/90 = 600/9 = 66,(6) %

Answer:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Step-by-step explanation:

Given

Function; [tex]y = -2x + 8[/tex]

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  [tex]y = -2x + 8[/tex]

The slope intercept of an equation is in form;

[tex]y = mx + b[/tex]

Where m represent the slope

Comparing  [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];

We'll have that

[tex]m_1 = -2[/tex]

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

[tex]m_1 * m_2 = -1[/tex]

Substitute [tex]m_1 = -2[/tex]

[tex](-2) * m_2 = -1[/tex]

Divide both sides by -2

[tex]m_2 =\frac{ -1}{-2}[/tex]

[tex]m_2 =\frac{1}{2}[/tex]

The point slope form of a line is;

[tex]y - y_1 = m_2(x - x_1)[/tex]

Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]

[tex]y - y_1 = m_2(x - x_1)[/tex]becomes

[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]

Open the inner bracket

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Hence, the point slope form of the perpendicular line is:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Answer:

-9, 1/5, 12/20

Step-by-step explanation:

-9 is negative so it will always be the least. It helps to turn the fractions into decimals. To do this, you can just divide 1 by 5 and 12 by 20.

1/5 = .2

12/20 = .6

So, 1/5 is less than 12/20.

This makes the order -9, 1/5, 12/20.

Answer:

-9, 1/5 12/20

Step-by-step explanation:

Use 0 as a border.

All numbers less than 0 on one side the rest on the other.

You will have -9 on less than zero and 1/5, 12/20 on the other side.

So -9 is the least.

Now you have 1/5, and 12/20.

Make the denominators equal.

1/5 x 4/4= 4/20, 12/20 x 1/1 = 12/20

Compare the Numerators.

4 is less than 12.

So the answer is -9, 1/5, 12/20.

Feel free to ask questions.

Answer: 90 degrees clockwise

Subtract the angles to get the answer

135 - 045 = 90

In terms of compass bearings, 045 degrees is directly pointed at northeast while 135 degrees is pointed directly at southeast. We have 0 degrees pointed straight north.

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°

Answer:

Option B.

Step-by-step explanation:

If equation of a line is y=mx+c, then m is the slope of line.

The given equation is

[tex]y=-\dfrac{2}{3}x+4[/tex]

Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].

We need to find the equation of line that is parallel to given equation and passes through (–2,–2).

We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]

[tex]3(y+2)=-2(x+2)[/tex]

[tex]3y+6=-2x-4[/tex]

[tex]3y=-2x-4-6[/tex]

[tex]3y=-2x-10[/tex]

Divide both sides by 3.

[tex]y=\dfrac{-2x-10}{3}[/tex]

[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]

Therefore, the correct option is B.

Answer:

B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction

Step-by-step explanation:

Answer:

What's the question?

Step-by-step explanation:

Answer:

15/32

Step-by-step explanation:

5/8 ÷ 1 1/3

Change to an improper fraction

5/8 ÷ ( 3*1+1)/3

5/8 ÷ 4/3

Copy dot flip

5/8 * 3/4

15/32

Answer: a) sample

b) quantitive.

Step-by-step explanation:

Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.

Here, population  = "people who ate fast food two or more times per week"

Since a census is the data of all members in a population whereas a sample is a subset of it.

Then, 3000 people constitute a sample as it is a subset of the population.

Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.

So, the data is quantitative.