A ship is stationary at sea.
A tugboat is 24km away at a bearing of 110°, and a yacht is 12km from the tugboat at a bearing of 085°.
Draw a scale diagram showing the positions of the three vessels.
Use a scale of 1 cm: 3 km.
Use your diagram to find the distance of the yacht from the ship to the nearest km.

Answer:

Graph B

Step-by-step explanation:

In order for a graph to represent a function, it needs to pass the vertical line test.  In this case, graph B is the only one that passes the vertical line test.

Hope this helped :)

Answer:

B: 3/4a + 1/2b - 3

Step-by-step explanation:

3 packages of bread would produce more utility than 2 jars of jam

The marginal utility function of jam is given as:

f(x) = 55 - 4x

Integrate the above function to determine the total utility function

f'(x) = 55x - 2x^2

Hence, the total utility function of the jam is f'(x) = 55x - 2x^2

The marginal utility function of bread is given as:

g(x) = 37 - x

Integrate the above function to determine the total utility function

g'(x) = 37x - 0.5x^2

Hence, the total utility function of the bread is g'(x) = 37x - 0.5x^2

We have:

Jam = 2 jars

Bread = 3 packages

Substitute 2 for x in f'(x) = 55x - 2x^2

f'(2) = 55 * 2 - 2 * 2^2

f'(2) = 102

Substitute 3 for x in g'(x) = 37x - 0.5x^2

g'(3) = 37 * 3 - 0.5 * 3^2

g'(3) = 106.5

106.2 is greater than 102

Hence, 3 packages of bread would produce more utility

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Answer:

Area of a triangle = 1/2 * base * height

here ,

base = 120 ft

height = 25 ft

Area = 1/2* 120*25

= 60 * 25

= 1500 ft²

Answer 2

Answer:

1/2 * base * height

so 1/2 * 25 * 120

= 1500

can u please tell if the figure is a right angled triangle??...cuz in order to find the perimeter, Pythagoras theorem must be applied but it's only for right angled triangle...so specify please

[tex]y+1=-2x-3\\y=-2x-4\\y+2x=4[/tex]

Answer:

x = 9

Step-by-step explanation:

x-2 = 7

you solve by adding 2 to both sides to maintain equality. and you add by 2 to cancel out the -2 to isolate the x.

x = 9

Answer:

B or 40.67mph

Step-by-step explanation:

To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The radius of the cylindrical tin is 7 cm.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The height of the cylindrical tin can is 7 cm, while the total surface area is 462 cm². Therefore, the total surface area of the tin will be,

The total surface area = area of base + Lateral surface area

462 cm² = πR² + 2πRH

462 = π(R² + 2R7)

147 = R² + 14R

R² + 14R - 147 = 0

R = 7, -21

Since the radius can not be negative.

Hence, the radius of the cylindrical tin is 7 cm.

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The centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The question is incomplete.

The complete question is:

A circle is defined by the equation given below.

x² + y² − x − 2y − 11/4 = 0

What are the coordinates for the centre of the circle and the length of the radius?

We know the standard form of a circle:

(x - h)² + (y - k)² = r²

Here (h, k) is the centre of the circle and r is the radius of the circle

[tex]\rm x^2 - x + \dfrac{1}{4} + y^2 - 2y + 1= \dfrac{11}{4} +\dfrac{1}{4} + 1\\\\[/tex]

[tex]\rm (x - \dfrac{1}{2})^2+(y-1)^2 = 2^2[/tex]

Thus, the centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

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The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

(1) y/3 + 6 = -3/2

Multiply through by 3

y + 18 = -9/2

Subtract 18 from both sides

y = -18 - 9/2

Take LCM

y = (-18 * 2 - 9)/2

Evaluate

y = -45/2

(2) -2r/3 - 3 = 3

Multiply through by 3

-2r - 9 = 9

Add 9 to both sides

-2r = 18

Divide by 2

r = -9

(3) 2/3 - 2x = x

Multiply through by 3

2 - 6x = 3x

Add 6x to both sides

2 = 9x

Divide by 9

x = 2/9

(4) 7x/2 + -5/2 = 9/2

Multiply through by 2

7x - 5 = 9

Add 5 to both sides

7x = 14

Divide by 7

x = 2

Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

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Assuming the dilation is centered at the origin, the scale factor is 1/3.

This means the coordinates of the point (8,4) are [tex]\boxed{\left(\frac{8}{3}, \frac{4}{3} \right)}[/tex]

Answer:

The amount of money you saved by receiving a discount of 25% is $5.5

Step-by-step explanation:

Discount is the reduction in the price of goods or services offered by shopkeepers at the marked price. Selling price is the actual price at which an article is sold after any reduction or discounts in the cost price.

discount is always calculated on the cost price of the article

formula to calculate the discount and discount %

Discount = List Price - Selling Price

Discount (%) = (Discount/cost price) × 100

here, in the question discount % is given = 25%

cost price of the item = $22

therefore using the above mentioned discount percentage formula:

25 = (Discount/22)×100

25/100 = Discount/ 22

0.25 × 22 = Discount

$5.5     = Discount

thus ,  

the amount of many you saved by receiving a discount of 25% is $5.5

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Answer:

v ≥ 5

Step-by-step explanation:

v ≥ 5

Answer:

[tex]\frac{4}{60}[/tex] = [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

Answer:

pounds (£)

Step-by-step explanation:

pounds are used in countries such as the UK and South Georgia

The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

From the question, we are to determine the molarity of the resulting solution

From the given information,

Number of moles = 5.99 × 10⁻⁶ mol

Volume = 1.50 × 10⁻² L

Using the formula,

Molarity = Number moles / Volume

∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
Molarity = 3.99 × 10⁻⁴ M

Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

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Answer:

The answer is 3.99 × 10–4 M

Step-by-step explanation:

I just did the assignment on Edge :)

The points would you find on the graph for |x| +1 < 3 are -1, 0 and 1

The inequality is given as:

|x| + 1 < 3

Subtract 1 from both sides

|x| < 2

This means that the absolute value of x is less than 2

From the list of options, the true values are -1, 0 and 1.

Because their absolute values are less than 2

Hence, the points would you find on the graph for |x| +1 < 3 are -1, 0 and 1

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Answer:

25 < t < 350

Step-by-step explanation:

The mean lifetime of a bulb ranges from 25 to 350 hrs but the question is unclear.

Construct OD and BD. Then, in quadrilateral ABOD, angles ODA and OBA are right angles and thus angle DOB is 130 degrees (since angles in a quadrilateral add to 360 degrees).

So, this means arc DB also measures 130 degrees. Hence, by the inscribed angle theorem, angle BCD is 65 degrees.

Answer:

answer= 3

hope this helps if not I'll try to do it again

Thw measurements based on the arrow on the rulers will be:

A= 1.3cm

B = 2.1 cm

C = 3.4cm

D = 4.4cm

E = 5.5cm

F = 7cm

G = 8.2cm

H = 10.3cm

I = 11cm

J = 11.7cm

K = 12.7cm

L = 14.7cm

It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.

A = 1.3cm × 10 = 13mm

B = 2.1cm = 21mm

C = 3.4 × 10 = 34m

Using same method, the value of the remaining will be:

D = 44mm

E = 55mm

F = 70mm

G = 82mm

H = 103mm

I = 110mm

J = 117mm

K = 127mm

L = 147mm

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Answer:

Step-by-step explanation:

The value of x if both lines intersect is 2/3

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

The percentage of the scores that are between 75.8 and 89 is; 95%

We are given;

Population mean; μ

Standard deviation; σ = 3.3

Thus;

z-score for a mean score of 75.8 is;

z = (75.8 - 82.4)/3.3

z = -2

z-score for a mean score of 89 is;

z = (89 - 82.4)/3.3

z = 2

From online p-value from z-score calculator, the p-value between both z-scores is;

p-value = 0.9545 = 95.45%

Approximating to the nearest percent = 95%

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Answer:

95

Step-by-step explanation:

it is

The cost of the path around the swimming pool with length 15m and width 12m is $1,190

Pathway with 2m wide:

Area of the path = length × width

= 17m × 14m

= 238 square meters

Total cost of the path = 238 square meters × $5

= $1,190

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Answer:

y = 3/4x + 2

Step-by-step explanation:

let me know if you want an explanation :))

The system of equations are:

$12p + $3a = $258

a - p = 6

Where:

Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.

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