A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi

A Boat Leaves The Dock And Travels 9 Miles Due South, Then 12 Miles Due West.How Far Is The Boat From

Answers

Answer 1
The answer would be A. 15mi
Answer 2

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2


Related Questions

Which operation would be last when solving the inequality -5x + 9 < -6

Answers

Answer: divding both sides by -5

Step-by-step explanation:

Subtract 9 from both sides.

−5x+9−9<−6−9

−5x<−15

Step 2: Divide both sides by -5.

−5x/−5<−15/−5

x>3

What exactly does it mean when a question says "consecutive integers"?

Answers

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

please help!!!I don’t know how to solve

Answers

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

10 cm :))) extra letters islam men’s

Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.

Answers

Answer:

[tex]first \: answer \: is \: true[/tex]

Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?

Answers

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour

Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22​

Answers

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Find the volume round to the nearest hundredth

Answers

Answer:

333.67

Step-by-step explanation:

trust

What equation will you use to solve this problem.

Answers

The third one
C=Dpie

Answer:

The answer is D! Sorry if I get the answer wrong.

Step-by-step explanation:

The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

please help me 100 points if you help

Answers

Answer:

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation:

1. no sides are the same length

2. two sides are the same length

3. all sides are the same length

4. no sides are the same length

Answer: Hello Luv........

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation: Sorry i copied other.

1. no sides are the same length.

2. two sides are the same length.

3. all sides are the same length.

4. no sides are the same length.

Mark me brainest please. Hope this helps. Anna ♥

Please help me!! How do I do this?

Answers

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Determine a simplified expression to represent the area of shaded region within the figure below

Answers

Answer:

[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)

Step-by-step explanation:

Determine the area of the large square: (5x - 3)(5x - 3)

Determine the area of the small rectangle: (3x + 1)(2x -1)

Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.

What is the slope of the line y = 6x + 3?
3
-6
6
-3

Answers

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

which is equivalent to 2/9

Answers

Answer:

4/18 is equivalent to 2/9

F/R/E/E P/O/I/N/T/S ​

Answers

Answer:

tysm!!

Step-by-step explanation:

[tex]have[/tex]  [tex]a[/tex]  [tex]great[/tex]  [tex]day[/tex] [tex]:)[/tex]

AAAAAAA THANK YOU :D

The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an award?

Answers

Answer:

74

Step-by-step explanation:

To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.

Answers

I think the answer is E

Find the slope of the line that passes through the points
(-5,-6) and (5,10)

Answers

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (10- -6)/(5 - -5)

    = (10+6)(5+5)

   = 16/10

   = 8/5

1.6

Step-by-step explanation:

change in y ÷ change in x

(10--6)=16

(5--5)=10

16÷10=1.6

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Somebody please help it would be much appreciated.

Answers

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

What is the area of this isosceles trapezoid 96 60 48 72

Answers

Step-by-step explanation:

s3d4drks3ks2srddex5v5

Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16

Answers

Answer:

10

Step-by-step explanation:

arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten

if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest

Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

Ordered: 4,6,6,9,11,19,23,34

And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.

hope this helps,have a great day!!

~Pinky~

Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?

Answers

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

pls and thanks Solve the equation 4(c-3) = 8 what is the value of c

Answers

Answer: C=5

Hope this helps!

5 of 10
A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.

Answers

Answer: 1/3

Step-by-step explanation:

numbers more than 4 are: 5, and 6

so 2/6 chance of rolling a number greater than 4

in simplest form this is 1/3

Answer:

number 4 are t is greater

Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.

Answers

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic

Answers

the anwser is linear

A drawer contains 2 Red Socks, 7 White Socks, and 9 blue sock Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?​

Answers

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?

A Linear positive association

B Nonlinear positive association

C Linear negative association

D Nonlinear negative association

Answers

The answer is c because The higher the number the lower the dock goes which means it’s negative and it makes a line
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