A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due
north to its destination. What will the ship's bearing be from Coffs Harbour when it reaches its
destination, correct to two decimal places?

Answer:

  The left side is a reflection of the right side

Step-by-step explanation:

The photo has a vertical line of symmetry down the middle. There are no other points or lines of symmetry. The left side is a reflection of the right side.

Answer: see below

Step-by-step explanation:

|2x+5|=7

2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative

2x+5=7  or  2x+5=-7

    2x=2            2x=-12

      x=1      or       x=-6

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The product of the two solutions

1 × -6=-6

Hope this helps!! :)

Please let me know if you have any question

Answer: 2x−5=7   and   2x−5=−7

Answer:

z = [tex]\frac{kx^3}{y^2}[/tex]

Step-by-step explanation:

Given that z is directly proportional to x³ and inversely proportional to y²

Then the equation relating them is

z = [tex]\frac{kx^3}{y^2}[/tex] ← k is the constant of proportionality

Answer:

slope = 0

Step-by-step explanation:

x = 8 is a vertical line parallel to the y- axis

A line perpendicular to it is a horizontal line parallel to the x- axis.

The x- axis has a slope of zero thus the line perpendicular to x = 8 is zero

The slope of a line is simply the ratio of a change in the vertical axis to the horizontal axis. The line perpendicular to [tex]x = 8[/tex] has a slope of 0

Given that

[tex]x = 8[/tex]

See attachment for the line of [tex]x = 8[/tex]

First, we determine the slope of [tex]x = 8[/tex]

The slope of a line (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]x = 8[/tex] means that, the value of x is always 8; irrespective of the y-value.

So:

[tex]x_2 = x_1 = 8[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y_2 - y_1}{8-8}[/tex]

[tex]m = \frac{y_2 - y_1}{0}[/tex]

Assume the slope of the line perpendicular to [tex]x = 8[/tex] is [tex]m_2[/tex].

[tex]m_2[/tex] is calculated as follows:

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

Substitute [tex]m = \frac{y_2 - y_1}{0}[/tex]

[tex]m_2 = -\frac{1}{(y_2 - y_1)/0}[/tex]

This gives

[tex]m_2 = -\frac{1\times 0}{y_2 - y_1}[/tex]

[tex]m_2 = -\frac{0}{y_2 - y_1}[/tex]

[tex]m_2 = -0[/tex]

[tex]m_2 = 0[/tex]

The slope of the line perpendicular to [tex]x = 8[/tex] is 0.

Read more about slopes at

https://brainly.com/question/3605446

Answer:

Half of 21 in a radius is 10.5.

Answer:

21/2=10.5

Step-by-step explanation:

21/2

Answer:

Step-by-step explanation:

1. Let us assume that we are solving for the frame of the deck alone

2. And also from the given parameters the deck has a rectangular shape

we know that the total amount of woods to be used is same as the perimeter of the rectangle.

Given that

length l= 60 ft

width w= 8 ft

The formula for the perimeter of a rectangle is given as

Perimeter= 2l+2w

perimeter= 2*60+ 2*8

perimeter= 120+16

perimeter= 136 ft

Hence in other to construct the frame of the deck Adam needs a total of 136 ft of woods

Answer:

b = 8tan30°

Step-by-step explanation:

Find the diagram of the triangle in the attachment. Using SOH CAH TOA to find the side AC which is b. Side AC will be the opposite of the triangle since it is facing the acute angle 30° and side BC will be adjacent.

Using TOA;

Tan<CBA = CA/BC

Given <CBA = 30°, BC = 8feet

CA = BCtan<CBA

CA = 8tan30° = b

Hence the equation that can be used to solve for b is 8tan30°

Answer:

B

Step-by-step explanation:

Answer:

12 times 6012 u can type in calculator is 72144

Answer:

72144 is the answer.

Hope this helps

Answer:

The numerical answer is 5

Please see the tape diagram evolution in the attached image

Step-by-step explanation:

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5

Answer:

30cm^2

Step-by-step explanation:

area of triangle = bxh/2

12x5=60/2=30cm^2

Answer:

My answer is 30.

Step-by-step explanation:

Area of a triangle is 1/2×b×h or b×h/2.

The base in the diagram is 12 and the height is 5. then 12×5=60 then 60÷2=30....Thank you for the question....

Answer:

2.15d+3.12 = 11.72

Step-by-step explanation:

The total cost is found by adding the costs of the donuts and the cost of the drink

The donuts cost 2.15 per donut = 2.15d

The drink is 3.12

She spent 11.72

2.15d+3.12 = 11.72

Answer: 4 dounts

Step-by-step explanation:

2.15d + 3.12 = 11.72

         - 3.12     -3.12

2.15d = 8.6

8.6/2.15 = 4

That's how you get 4 donuts. Please mark brainliest.

Answer: 50 Minutes = 309 gal

Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.

Answer:

[tex]y=1.8x+219[/tex]

309 gallons

Step-by-step explanation:

So to find the linear equation, we can use the data from the table.

First, use the data from the table to find the slope. Pick any two points. I'm going to use (10,237) and (20,255).

Let (10,237) be x₁ and y₁ and let (20,255) be x₂ and y₂.

The formula for slope is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{255-237}{20-10}[/tex]

Simplify:

[tex]m=18/10=1.8[/tex]

Thus, the slope is 1.8. This means that 1.8 gallons of water flow into the tank every minute.

Now, let's find the slope-intercept. To do this, we can use the point-slope form. The point-slope form is:

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

Let's use (10,237) for consistency. Plug in 237 for y₁  and 10 for x₁. Also use 1.8 for m. Thus:

[tex]y-237=1.8(x-10)[/tex]

Distribute:

[tex]y-237=1.8x-18[/tex]

Add 237 to both sides:

[tex]y=1.8x+219[/tex]

What this means is that there is initially 219 gallons of water in the tank already. Every minute, 1.8 gallons is added further.

And that's our linear equation :)

So, to find the amount of gallons after 50 minutes, plug in 50 for x and solve:

[tex]y=1.8(50)+219\\y=90+219=309[/tex]

After 50 minutes, there will be 309 gallons of water.

Answer:

               y-coordinate

Step-by-step explanation:

Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.

(7,12)  means 7 is x-coordinate and 12 is y-coordinate

Answer:13

Step-by-step explanation: range is the biggest value - the smallest value, in this case, the biggest value= 5 and the smallest value= -8 so, 5--8= 5+8 ( when it is a minus minus it is automatically changed to a plus)= 13.

Answer:

(x+y)x^y

Step-by-step explanation:

i hope it helped you. thankyou

Answer:

-1

Step-by-step explanation:

Answer:

[tex]x^{2}[/tex]+5

2x+5

3x-5

2(n+5)

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

5x(x^3)

Step-by-step explanation:

The correct answer is Type

Explanation:

Categorical variables differ from other types of variables because these involve categories or defined groups. For example, sex is a categorical variable because in a population individuals are either classified as females or males (categories). This concept applies to types of pets because this variable involves categories or defined groups such as dogs, cats, hamsters, turtles, etc. Also, other variables such as age, weight, or height are not naturally categorical because these can be understood using numbers rather than categories.

Answer: The answer is definitely TYPE

Step-by-step explanation: For example the brand of a car is a category. You could have a Toyota. Toyota is a category of a car. Therefore, this can be applied in this problem; the Type of a pet is a category. The pet could be a dog or a cat e.t.c.

Answer:

5 r 2

Step-by-step explanation:

Answer:

    x -5

Step-by-step explanation:

f(x)= 2x+5, g(x)=x+10,

f-g (x) = 2x+5 - (x+10)

Distribute the minus sign

         = 2x+5 - x-10

          =2x-x +5-10

Combine like terms

        x -5

==================================================

Explanation:

The coefficients of each term, from left to right are 1, 3, 3, 1

These coefficient values are found in Pascal's triangle in the third row.

The variable terms will have variable terms in the form a^m*b^n. To start off, m = 3 and n = 0 to get a^3*b^0 = a^3*1 = a^3. From there you will have m count down (3,2,1,0) and n will count up (0,1,2,3)

So for the second term we have m = 2 and n = 1 to get the variable term a^2*b^1 = a^2b

The third term has m = 1 and n = 2 to get the variable term a^1*b^2 = ab^2

Finally the last term has m = 0 and n = 3 to get a^0*b^3 = 1*b^3 = b^3

Those variable terms are them multiplied with the coefficients mentioned previously to get the final answer.

--------------------------

Another way you can do this problem is to use the distributive property and FOIL rule

(a+b)^3 = (a+b)(a+b)^2

(a+b)^3 = (a+b)(a^2+2ab+b^2) .... FOIL rule

(a+b)^3 = a(a^2+2ab+b^2) + b(a^2+2ab+b^2) ... distribute

(a+b)^3 = a*a^2+a*2ab+a*b^2 + b*a^2+b*2ab+b*b^2 ... distribute again

(a+b)^3 = a^3 + 2a^2b + ab^2 + a^2b + 2ab^2 + b^3

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Answer:

The other endpoint is ( -1,15)

Step-by-step explanation:

21.

 The x coordinate of the midpoint is the  sum of the x coordinate of the endpoints  divided by 2

(-5 +x)/2 = -3

Multiply each side by 2

-5+x = -6

Add 5 to each side

-5+x+5 = -6+5

x = -1

The y coordinate of the midpoint is the  sum of the y coordinate of the endpoints  divided by 2

(-1 +y)/2 = -8

Multiply each side by 2

-1+y = -16

Add 1 to each side

-1+y+1 = -16+1

y = -15

The other endpoint is ( -1,15)

Answer:

Step-by-step explanation:

Given m∠JML = 80 and m∠KML = 33, to calculate the value of angle m∠JMK, we will apply the formula since all the angles are all acting at point M.

m∠JML = m∠JMK+m∠KML

Substituting the values given into the equation;

80 = m∠JMK + 33

subtract 33 from both sides of the equation

m∠JMK = 80-33

m∠JMK = 47°

Hence the value of angle m∠JMK is 47°

Answer: 3x -4

Step-by-step explanation:

This question was answered earlier at this link below

https://brainly.com/question/17274617

Let me know if you have any questions about any of the steps.

Answer:

DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]

RANGE: [tex](-\infty,\infty)[/tex]

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

[tex](-\infty,1]\cup(2,\infty)[/tex]

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

Answer:

  [tex]\dfrac{887}{990}[/tex]

Step-by-step explanation:

Multiply by 100, subtract the original and divide the result by 99.

  [tex]x=0.8\overline{95}\\100x=89.5\overline{95}\\100x-x=89.5\overline{95}-0.8\overline{95}=88.7\\99x=88.7\\\\x=\dfrac{88.7}{99}=\boxed{\dfrac{887}{990}}[/tex]