Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)

Two Boats Leave The Same Port At The Same Time. One Travels At A Speed Of 28 Mi/h In The Direction N

Answers

Answer 1

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

Two Boats Leave The Same Port At The Same Time. One Travels At A Speed Of 28 Mi/h In The Direction N

Related Questions

Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?​

Answers

Answer:

He needs 132

Step-by-step explanation:

hope it helps

El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm

Answers

Answer:

es 54 espero que esto ayude adiós!

Step-by-step explanation:

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.

El volumen de un cilindro es:

Volumen = πr²h

Given that: r = 6 cm; h = 9 cm;

Volumen = πr²h = π(6)²(9) = 1018 cm³

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

find out more at: https://brainly.com/question/1617707

please help with this ​

Answers

Answer:

Step-by-step explanation:

The perimeter of a circle is 2πr

r here is 7 so the perimeter of the full circle is 14π which is 43.9822972

But you only have half a circle, so 43.9822972 / 2 = 21.991148.

But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm

One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase


What is the percent increase

Answers

Answer:

20%

Step-by-step explanation:

(61200-51000)/51000×100

(102000/51000)×100

0.2×100=20%

Hope that helped! :)

You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.

Answers

Answer:

buuuuuuuuuuut butt

Step-by-step explanation:

A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?

Answers

Answer:

I believe it is 252 correct me if I'm wrong

Answer:

252

Step-by-step explanation:

25 dozen is 300 cookies subtract 48 and get 252

Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.

Answers

Answer:

d

Step-by-step explanation:

Answer:

Hint #33 / 3

The equation is y=\dfrac{1}{2}x -2y=

2

1

x−2y, equals, start fraction, 1, divided by, 2, end fraction, x, minus, 2.

Step-by-step explanation:on kan

write down three integers below 25 with the range of 10 and the mean of 13

Answers

Answer:

8, 13, 18

Step-by-step explanation:

Middle number is 13, there are only 3

Max is 10/2 more so 18

Min is 18-10

y=[3/2] x+3.
Pls help me .
Its a graph sum​

Answers

Answer:

I'm not sure what the question is. Graph?

Step-by-step explanation:

See graph.

Answer:

352

what r u do

789

why nt coming

why r u nt talking

A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?​

Answers

It will take 16.66years long for the money to double

The formula for calculating the compound amount is expressed as:

A = P(1+r)^t

A is the amount after t years  = 2(900) = $1800P is the amount invested = $900r is the rate in decimal  = 4.25% = 0.0425

Substitute into the formula to have:

1800 = 900(1+0.0425)^t

2 =(1+0.0425)^t

2 = 1.0425^t

ln2 = tln1.0425

t =  ln2/ln1.0425

t = 0.6931/0.0416

t = 16.66years

This shows that it will take 16.66years long for the money to double

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Find the measure of angle x in the figure

Answers

Step-by-step explanation:

apply angle sum property of triangle in ∆BCA

now,

x + x + 110° = 180

2x = 180 - 110 = 70

x = 70/2 = 35

x = 35°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Which slope is perpendicular to slope m= 5/6

Answers

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

What sentence represents this equation?

912=15−x


912 ​is the same as a number decreased by 15.

912 is the same as 15 decreased by a number.

15 decreased by 912 is the same as a number.

A number is the same as the difference of 15 and 912.

Answers

The sentence representing the equation is 912 is the same as 15 decreased by a number.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

DIRECTIONS:give the formula for each surface area.

pls answer thank you!! ​

Answers

[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]

[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]

[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]

[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]

Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1

Answers

Answer:

84

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Answers

Answer:

gas barrels = 20,400,000

diesel barrels = 17,400,000

other barrels =  22,200,000

Step-by-step explanation:

Total barrels = 60,000,000

gas = 34%   of the barrels

diesel = 29% of the barrels

others = 37% of the barrels     100% - 34% - 29% = 37%

How many of each type of barrels?

60,000,000 ×  34% = gas barrels ;   60,000,000 × .34 = 20,400,000

60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000

60,000,000 × 37% = other barrels;   60,000,000 × .37 = 22,200,000

 Check: Total  barrels  60,000,000                                 = 60,000,000                                    

If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz

Answers

500 is the answer
500

Answer:

-500

Step-by-step explanation:

i knew the answer

have a great day ;)

6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?

Answers

The number is 3947

It should be noted that 36 hundreds will be equal to:

= 36 × 100

= 3600

It should be noted that 34 tens will be:

= 34 × 10

= 340

7 ones will be:

= 7 × 1

= 7.

Therefore, the sum will be:

= 3600 + 340 + 7 = 3947

Answer:

3947

Step-by-step explanation:

write 65% as term fraction in its lowest a​

Answers

Answer:

13/20

Step-by-step explanation:

65% = 65/100 = 13/20

Hoped this helped.

Answer:

13/20

Step-by-step explanation:

Which conditional statement is always logically equivalent to the inverse?


Converse

Conditional

Conjecture

Contrapositive

Answers

Answer:

Converse

Step-by-step explanation:

Converse

Ghhhhhhhnbb tggy

100 POINTS IF U GET DIS RIGHT!

Answers

Answer:

[tex]- \frac{3}{5}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

m = slope = [tex]-\frac{3}{5}[/tex]

x = (x , y)

b = y-intercept = [tex]- \frac{7}{9}[/tex]

With this given information, your slope will be [tex]-\frac{3}{5}[/tex]

Answer:

-3/5

Step-by-step explanation:

The answer is -3/5 I think

Please help 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

Yes.

Step-by-step explanation:

They are similar by the AA (Angle-Angle) Similarity Theorem.

Angle P is congruent to Angle P,

and another angle congruency is <Q and <S OR <R and <T by the

Corresponding

Angle Congruency Theorem.

With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.

This question: 1p
Find the surface area of the prism.

Answers

Answer:

Step-by-step explanation:

find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100

Answers

Answer:

S=2+4+6+…+100

S=100+98+96+…+2

Adding the two yields

2S=102+102+102+…+102 = 50(102)

Thus S=50(51)=2550

How many ways are there to put 5 balls in 2 boxes if the balls are not distinguishable and neither are the boxes

Answers

Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.

Step-by-step explanation:1

It is 3: the partitions of 5 into ≤2 parts.

Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

39.2 is 95 percent of what?

Answers

267 is what the answer is sorry if it’s wrong

PLEASE HELP ME ASAP
NO LINKS

Answers

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

Please help, thank you in advance​

Answers

Answer:

Solution

9

1

3

6

Step-by-step explanation:

Complete the multiplication: AB.

Answers

Answer:

Option: B is the correct

Step-by-step explanation:

Step-by-step explanation:

We are given two matrices A and B as follows:

\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}

A=[

3

2

0

−1

]

and

\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}

B=[

2

0.6

8

3

]

We know that the multiplication of two matrices of the type:

\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}

A=[

a

c

b

d

]

and

\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}

B=[

a

c

b

d

]

is given by:

\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}

AB=[

aa

+bc

ca

+dc

ab

+bd

cb

+dd

]

Hence, here we have:

\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}

AB=[

3×2+0×0.6

2×2+(−1)×0.6

3×8+0×3

2×8+(−1)×3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}

AB=[

6+0

4−0.6

24+0

16−3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}

AB=[

6

3.4

24

13

]

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