A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.

Answers

Answer 1

Answer:

[tex]7.7[/tex] km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of [tex]6.6[/tex] km and [tex]3.9[/tex] km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, [tex]a^{2}+b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the lengths of the triangle's legs and [tex]c[/tex] is the length of the triangle's hypotenuse. In this case, we know what [tex]a[/tex] and [tex]b[/tex] are, and we need to solve for c, so after substituting the given values of [tex]a[/tex] and [tex]b[/tex] into [tex]a^{2}+b^{2} =c^{2}[/tex] to solve for c, we get:

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

[tex]6.6^{2} +3.9^{2} =c^{2}[/tex] (Substitute [tex]a=6.6[/tex] and [tex]b=3.9[/tex] into the equation)

[tex]43.56+15.21=c^{2}[/tex] (Evaluate the squares on the LHS)

[tex]58.77=c^{2}[/tex] (Simplify the LHS)

[tex]c^{2}=58.77[/tex] (Symmetric Property of Equality)

[tex]\sqrt{c^{2} } =\sqrt{58.77}[/tex] (Take the square root of both sides of the equation)

[tex]c=7.7,c=-7.7[/tex] (Simplify)

[tex]c=-7.7[/tex] is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately [tex]7.7[/tex] km away from its base. Hope this helps!


Related Questions

The numbers 1 through 10 are written on individual cards and placed in a bag. If you reach into the bag and pull out a cards, what is the probability that it will not be a 9

Answers

Answer:

9/10

Step-by-step explanation:

There are 10 cards in total (1-10 is 10 numbers). Only 1 of  the numbers is a 9. So the probability of picking the 9 is 1/10. Then do 1 - 1/10 to find the probability of not picking the 9. This is 9/10.

9/10
I hope this helps

what is the measure of BCA?

Answers

Answer:

The answer is 45 degrees

10 points and marked brainliest!!!!!

Answers

Answer:

y = 4

Step-by-step explanation:

In this situation, because all the angles have the same arc mark, they must have the same measure which means that the triangle is equiangular. Therefore, you can use the definition of an equilateral triangle which states that if the triangle is equiangular, it must be equilateral which means that all sides are the same. This is because x + x + x = 180 → 3x = 180 → x = 60. When you learn trigonometry, you will realize that the proportion of sides corresponds to the angles. Or you could experiment and you may realise that if the angles of the triangles are all 60° then you can only form a triangle where the sides are all equal. If all sides are the same, then 9y - 3 = 7y + 5

So if 9y - 3 = 7y + 5, then

9y - 3 = 7y + 5 →

[subtract 7y from both sides]

9y - 7y - 3 = 7y - 7y + 5 →

2y - 3 = 5 →

[add 3 to both sides]

2y - 3 + 3 → 5 + 3 → 2y = 8 →

[divide both sides by 2]

y = 4

carlos se desplaza 7m a la isquierda y luego 10m a la derecha ¿a que distancia esta el punto de partida por favor resuelvanlo es urgente el tema es numeros negativos gracias

Answers

- 7 + 10

= 3

-- i do not speak spanish, but i have used a translator haha.

3(2b+ 4) +6
Please answer

Answers

Answer:

6b+18

Step-by-step explanation:

3(2b + 4) + 6

6b + 12 + 6= 6b+18

Answer:

6b + 18

Step-by-step explanation:

3(2b + 4) + 6

6b + 12 + 6

6b + 18

Find the slope of the line represented by the data below

Answers

Answer:

Slope = -4

Step-by-step explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

x1 = -3 and y1 = 12

x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

Δx = 1

∵ Δy = 8 - 12 = -4

Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m = [tex]\frac{-4}{1}[/tex]

m = -4

∵ m is the slope of the line

The slope of the line is -4

Someone help me there’s a time limit on it

Answers

Answer:

P=3

Step-by-step explanation:

8p =24

P= 24/8

P= 3

You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements.


Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number

Answers

Answer:

Step-by-step explanation:

how do i solve this pls help me i got 30 mins left :(

Answers

Do you have Photomath? You can scan the question and it will give you the answer!

What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form

Answers

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

Simplest form for 4 1/10

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

Joseph goes to the store with a budget of $120 write an inequality that represents "x", the amount in dollars Joseph can spend at the store

Answers

Answer:

Step-by-step explanation:

x=$120

Answer:

x=120

Step-by-step explanation:

The budget is the amount that he can spend.

The proportion of American adults who spend between 6 and 9.99 hours a day, inclusive, on digital devises is approximately 1/3. The proportion of Americans adults who spend more than 9.99 hours on a digital dev is approximately 2/7. Find the proportion of American adults who spend at least 6 hours on digital devices. Write your result as a fraction.

Answers

Answer: 13/21 of the American adults spend at least 6 hours on digital services.

Step-by-step explanation:

The proportion that spends between 6 hours and 9.99 hours is 1/3

The proportion that spends more than 9.99 hours is 2/7

We want to find the proportion who spends at least 6 hours.

This is easy, we just need to combine the two groups from above, and that will give use the proportion that spends 6 hours or more.

We only need to add:

1/3 + 2/7

Now, the first problem we see here is that the denominators are different, then we need to rewrite both fractions to have the same denominator.

We know that 3*7 = 21, then we can use 21 as the common denominator, by multipliying by 7/7 (this is equal to 1) the first fraction, and by 3/3 the second one:

1/3 = (1/3)*1 = (1/3)*(7/7) = 7/21

2/7 = (2/7)*1 = (2/7)*(3/3) = (3*2)/21 = 6/21

Then the previous sum becomes:

1/3 + 2/7 = 7/21 + 6/21 = 13/21

This means that 13/21 of the american adults spend at least 6 hours on digital services.

Roger is a great pitcher. He strikes out 1 out of every 3 batters he
faces. If he struck out 5 batters in 1 game, about how many batters
would he have faced?

Answers

He would have faced 15 batters because the ratio of strikes is 1 to 3 so you would put the 5 in the ones place and multiply it by the 3 which makes 15.

Please help I’ll give you brainlist or something

Answers

Answer:

1 slope of f is 5

slop of g is 2

2. connor

initial value is 200

rate of change is -10

Pilar

initial value is 242

rate of change is -8

3.

y intercept of f is -3

y intercept of g is -1

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

Plz help with this its due in like less than a few minutes if anyone could help that would be great. Thx.

Answers

Answer: x = 4

Step-by-step explanation:

JL = 2 (MN)

3x - 2 = 2 (x + 1)

3x - 2 = 2x + 2

Subtract 2x from both sides

x - 2 = 2

Add 2 to both sides

x = 4

Annika used 2/9 yards of ribbon to tie
around Olivia's present and 3/4 yards of ribbon
to tie around Daryl's
present. How many yards of ribbon
did she use in all?

Answers

Answer:

35/72 yards of ribbon

Step-by-step explanation:

In kite WXYZ, mZWY = 41° and mXYW = 11°


What is mWZY?

Answers

Answer:

128°

Step-by-step explanation:

In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.

Longer diagonal bisects the opposite angles.

[tex] \therefore m\angle ZYW =m\angle XYW[/tex]

[tex] \because m\angle XYW = 11\degree... (given) [/tex]

[tex] \therefore m\angle ZYW =11\degree [/tex]

[tex] In\: \triangle WYZ[/tex]

[tex] m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree [/tex]

[tex] 11\degree + 41\degree+ m\angle WZY=180\degree [/tex]

[tex] 52\degree+ m\angle WZY=180\degree [/tex]

[tex] m\angle WZY=180\degree - 52\degree [/tex]

[tex] \purple{\bold {m\angle WZY=128\degree}} [/tex]

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

Solve the equation | w + 1.5 = 8.75

Answers

Answer:

8.75-1.5=7.25

w=7.25

Step-by-step explanation:

Answer:

w = 7.25

Step-by-step explanation:

w + 1.5 = 8.75

To find what w is, you need to isolate.  To isolate w from 1.5, you have to subtract 1.5 by 1.5.

w + 1.5-1.5 = 8.75

What you do to one side of the equal sign, you have to do to the other

w + 1.5-1.5 = 8.75 - 1.5

1.5-1.5 cancels out and 8.75 - 1.5 equals to 7.25

w = 7.25

PLEASE HELP I WILL GIVE BRAINLIEST!





The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?

A.
(5, 7)

B.
(5, 11)

C.
(9, 1)

D.
(13, 3)

Answers

Answer:

i think d is the correct one

Answer:

It's be 5,11

Step-by-step explanation:

Determine the values of a, b, and c for the quadratic equation

3x2−5x+6=0

Answers

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

c=6

Answer:

-24

Step-by-step explanation:

=3×2-5×+6

=3×2-(5×+6)

=3×2-(+30)

=3×2-30

=6-30

=-24


If the slope of a line 1 is , what is the slope of line 2 which is perpendicular to line 1.

Answers

Step-by-step explanation:

let's say that x is the slope of line 1.

the slope of a perpindicular line is the negative reciprical of x

the slope of line 2 is then -1/x

Which list contains four points on the same line?
A)
{ (0,0), (1, 1), (2, 4), (3,9)}
B)
{(0,0), (1, 1), (2, 2), (3, 3) }
C)
{ (0, 1), (1, 2), (2, 4), (3, 8) }
D)
{(0,0), (1, 1), (2, 8), (3, 27) }

Answers

Answer:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }

Step-by-step explanation:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }contains four points on the same line.

The coordinates of three vertices of parallelogram ABCD are given. Find the coordinates of the fourth
point so that the given type of figure is formed.
A(3,-3), B(-6, -3), D(3, 3), rectangle
The coordinate of C is ?

Answers

Answer:

( - 6 , 3 )

Point c is 6 units above point b and 9 units to the left of point d

Which graph shows a dilation?

Answers

Answer:

the last one shows a dialation

the sum of length and breadth of a room is 20m​,find it's perimeter​

Answers

Answer:

80 m.

Steps: perimeter =4 x side

=4x20=80m

Answer:

40 m

Step-by-step explanation:

Formula of perimeter of a rectangle = 2(l + b)

where l = Length & b = Breadth

According to the question ,

Sum of length & breadth = l + b = 20m

Perimeter = 2(l + b) = 2 × 20 = 40m

do bank tellers need a community college degree?

please help me​

Answers

Answer:

NO: FALSE

Step-by-step explanation:

becauase I am just that smart.

Doug needs to order 25,000 grams of a supplement. At the store, supplements come in 5 kilograms packages that cost $80 each. What will Dougs order cost ?

Answers

Answer:

$400

Step-by-step explanation:

1000 grams in a kilogram

25,000 total grams= 25 kg

25kg/ 5 kg per package

=5 packages

5 packages * $80 each

=$400 total cost

Answer:

1,75678

Step-by-step explanation: multiply it

Please answer fast its timed

Answers

Answer:

f(5) = 22

f(9) = 34

Step-by-step explanation:

Plug in 5 and 9 separately for the equation of the x values.  Multiply them each and add 7 to get these values 22 and 34.

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