A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km

Answers

Answer 1

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

A Boat Is Anchored 2.2 Km Due South Of A Lighthouse. Along The Shore, The Town Of Beachton Is 16.8 Km

Related Questions

PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4

Answers

Answer:

- 1 < x < 4

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]

What is the surface area of the square pyramid?

A net has a square base with side lengths of 2, and 4 triangles with heights of 3.


square units:

Answers

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

The area of the square base is ...

  A = s²

  A = 2² = 4

The area of each triangle is ...

  A = (1/2)bh

  A = (1/2)(2)(3) = 3

So, the area of the base and 4 triangles is ...

  total area = 4 + 4(3) = 16 . . . square units

Answer:

its 16

Step-by-step explanation:

The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

A right triangle has side lengths of a, b, and cunits. The longest side has a length
of c units. Complete each equation to show three relations among a, b, and c.
a. c² =
b. a^2=
c. 6² =

Answers

Answer:

[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Step-by-step explanation:

Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.

It is given a right angled triangle with sides a, b and c.  

And c is the longest side.

So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.

No condition is given about the base and height.

So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.

We know that, pythagoras' theorem holds true in every right angled triangle.

According to pythagoras' theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]

So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

Using equation(1):

Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

Also,  

Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Evaluate 7 r − 15 s 7r− s 15 ​ 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.

Answers

Answer: 18

Step-by-step explanation:

Evaluate 7 r − 15 /s

Given that r = 3 and s = 5

7r - 15/s

Substitute 3 for r and 5 for s in the above expression

7(3) - 15/5

= 21 - 3

= 18

Answer:

18

Step-by-step explanation:

Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34

Answers

Answer:

22

Step-by-step explanation:

it is epuivalet

The correct answer is 22

Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?

Answers

Answer:

7/16

Step-by-step explanation:

Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve

Answers

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.

Answers

Answer:

8/3 hours

Step-by-step explanation:

Sloane drives for 2/3 hours to get grandmother's house

Inorder to arrive at her cousin's house she is required to drive 4 times longer

= 2/3 ×4

= 8/3 hours

Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.

May someone help me solve
g(x)=8x^2-10x-3 and find the x intercepts

Answers

X intercepts:

(-1/4,0),(3/2,0)

6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK

Answers

Answer:

False

Step-by-step explanation:

The left side 0.06 does not equal to the right side 0, which means that the given statement is false.

What are the steps of finding the Circumference of a circle

Answers

radius squared times pie

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as large

Hope this helps! :)

30 points! Fraction Equasion

Answers

Answer: -3.3

Step-by-step explanation:

Answer:

-3.3

Step-by-step explanation:

-2.3 - (4.5 - 3 1/2)

Change the fraction to a decimal)

-2.3 - (4.5 - 3.5)

Parentheses first

-2.3 - (1)

Subtract

-3.3

Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

20 feet long 6 feet width

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

<=> the length side: 20:4 = 5 inches

<=> the width side: 6:4 = 1.5 inches

Hope it will find you well.

X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation ​above as the equation of a circle in standard form , and identify the ​center and radius . ​ ​The center is at the point ( , ​ ) ​ The radius is

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Some insight: This is a unit rate question.

Answers

Answer:

i think is B.

Step-by-si tep explanation:

A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).

Answers

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

does anyone know the answer to this please ?

Answers

Answer:

I think it's the first one.

lisa will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per pizza. Please help and hurry

Answers

Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.

What is the accounting definition of a purchase?

All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.

We have For the first restaurant

the total cost per pizza is $16 + $5 = $21.

For the second restaurant

the total cost per pizza is $17.

If Lisa purchases x pizzas,

the total cost from the first restaurant will be $21x + $5 = $21x + $5.

The total cost from the second restaurant will be $17x.

If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.

If x = 2,

the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.

If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.

So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.

To know more about Purchase visit :

https://brainly.com/question/29150263

#SPJ1

3. Which line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x

Answers

Answer: A.y=2 hope this helps!

Answer: y = 2

Explanation: When the equation of any line reads y = a number, its graph will always be a horizontal line.

So, y = 2 would be a horizontal or flat line.

There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?

Answers

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?

Answers

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

The difference of a number and 8 is no more then 13

Answers

x - 8 = </= 13

x could be from 9 to 21

Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.

Answers

Answer:

4r^2 - 36 s^2

Step-by-step explanation:

Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9

Answers

Answer:

Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7

Step-by-step explanation:

the equation used to calculate future value of an investment (or bank deposit) using compound interest is:

future value = present value x (1 + interest rate)ⁿ

Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47

Answer:

the answer would be A

Step-by-step explanation:

what the person above said.

HELPPPP PLEASE ! GET POINTS AND BRAINLIEST!

Answers

Answer:

1. segment RT

2. segment QS

3. segment PS

4. < QTR

5. arc QR

6. arc QSR

7. arc QS

These are all by definition.

Radius: distance from the center of a circle to a point on the circle

Diameter: a chord that goes through the center

Chord: any segment whose endpoints are on the circle

Central Angle: an angle at the center of the circle with endpoints on the circle

Minor Arc: arc that is less than 180 degrees

Major Arc: arc that is greater than 180 degrees

Semicircle: Arc of 180 degrees

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

is 5/2 irrational or rational

Answers

5/2 is a rational because this can be expressed as a ratio or fraction. 5/2 in ratio can be written as 2.5

N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A

Answers

Answer:

why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely

Step-by-step explanation:

Find the area of the shape shown below.
12
4

Answers

The answer to this question is 32

Answer:

32

Step-by-step explanation:

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