After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.

Answers

Answer 1

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m


Related Questions

Find the circumference of the circle use 3.14 for that symbol help ASAP

Answers

Hello
Radius of circle =1.5cm
Therefore the circumference of the circle =2x3.14x15= 9.42cm
The answer is 9.42 cm

Deku's watermelon weighs 128 ounces. Bakugo's
weighs 112 ounces. Which watermelon is heavier?
By how many ounces? -Side note- HELP MEH ;-; worth 16 points

Answers

Answer: Deku's watermelon weighs more by 16 ounces.

Step-by-step explanation:

hope this helps lol :)

Ya Dekus is heavier by 16 ounces

Round 14.6837 to the nearest HUNDREDTHS

Answers

Answer:

it's 14.68

Step-by-step explanation:

Answer:

14.68

Step-by-step explanation:

1|4|.|6|8|3|7

1=tens

4=ones

.=decimal

6=tenths

8=hundreths

3=thousanths

7=ten thousandths

3 is less than 5 so 8 stays the same

-2 + b < 3





.............

Answers

Answer:

I believe we are solving for b. b<5

Step-by-step explanation:

16/5 where is that on the number line?

Answers

First you have to make 16/5 3 1/16 (5 goes into 16 3 times and 1 left over) so it would go on 3 and 1 16

a woman is 5 times as old as her daughter in 15 years time to be two times as old as her daughter to find a mother's presentsage​

Answers

Answer:

25 years.

Step-by-step explanation:

Given that a woman is 5 times as old as her daughter, while in 15 years time it will be two times as old as her daughter, to find a mother's presents age the following calculation must be performed:

5 x 5 = 25

25 + 15 = 40

40/2 = 20

5 + 15 = 20

Thus, the present age of the mother is 25 years, while that of her daughter is 5 years, with which the mother is five times the age of her daughter. In 15 years, the mother will be 40 and her daughter 20, with which she will only be twice her age.

On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.

Answers

Complete Question

On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.

Answer:

15 miles

Step-by-step explanation:

From the above question,

3 inches = 90 miles

1/2 inch = x miles

Cross Multiply

3 inches × x miles = 90 miles × 1/2 inch

x miles = 90 miles × 1/2 inch/3 inches

x miles = 15 miles

Therefore, a measure of 1/2 inch on the map would represent 15 miles

9 x 3/9 is greater than less than or equal to 9?

Answers

Answer:

9 x 3/9  is less than 9

Step-by-step explanation:

Answer:

No because when multiplyin a fraction your outcome is less than the orginal

number most likely

Step -by-step explanation:

Find the area of the triangle.

Answers

Answer:

[tex] 28\: ft^2[/tex]

Step-by-step explanation:

Area of the triangle

[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]

!!!!!!PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!
which of the following is a irratinol number
A. 1 squared
B. 41 squared
C.- 9 squared
D.-64 squared

Answers

B is the correct answerLet me know if I am wrong.

Apply the distributive property to simplify the expression 7(11-7).

Answers

Answer:

28

Step-by-step explanation:

The Distributive property uses the number outside the parenthesis and combines it (using multiplication) with the ones inside.

So, the number 7 will be multiplied with the numbers inside the parenthesis.

7(11-7)

7 × 11 = 77

7 × -7 = -49 (It will just be the same way you multiply but with a added negative sign.)

77-49=

28

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/

the first week of June there were 404 customers at an ice cream parlor. Eight weeks later, the number of customers was 175% of this amount. How many customers were there eight weeks later?

Answers

Answer: 707

Step-by-step explanation: 404*175% or 404*1.75= 707

Answer:

707

Step-by-step explanation:

404 x 1.75 = 707

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

Adrianna is two years older than Fernando, while Lucy is triple Fernando's age. If the sum of their ages is eighty-two, how old is Adrianna?

HELPPPP MEEEEE!!!!!!

Answers

27 i think lol :) x byeeeee

Answer:

18

Step-by-step explanation:

x + (2+x)+ (3x) =82

x+x+3x= 82-2

5x=80

x= 16

Fernando is 16

Adrianna is 2 years older so she is 18

And Lucy is 3x 16=48

together 82

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

ppppppllease help meeeeee :)

Answers

I think is c because you just flipping the the letters and It should be the same answer ...but I’m not sure....
the answer is 76 there isn’t another number being included therefore it would be 76
answer=76

The mid point of a given line segment must lie on the given line segment

true or false

Answers

Answer: The answer is true .

To rent a bike, Max pays a flat rate plus an hourly rental fee. The graph shows the amount, c dollars, he pays based on the number of hours, t, he uses the bike.
a) Find the vertical intercept of the graph and explain what information it gives about the situation.
b) Find the slope of the graph and explain what information it gives about the situation.

Answers

Answer:

The vertical intercept is 5y. The slope is 1/2

Step-by-step explanation:

Please mark Brainliest

#1: Which of the following represent an arithmetic sequence?

3, 7, 11, 15, 19, ...
3, 6, 12, 24, 48, ...
-10,-8, -6, -4,-2,0, 2, 4, ...
-1, 5, 11, 17, 23, 29, ...
1, 4, 9, 16, 25, 36, ...
1, 1, 2, 3, 5, 8, 13, 21, ...
1,5, 25, 125, ...
13, 33, 53, 73, 93,

Answers

Answer:

3, 7, 11, 15, 19 is an arithmetic sequence

Step-by-step explanation:

they go up by 4

If someone can help that would be great

Answers

Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT

Answers

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

The standard form of y = 5(x + 4)(x + 5) is

Answers

Answer:

mark me as brainliest plz

Answer:

21 is Correct answer hope you will like it

Need help with math question 8th grade math

Answers

Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

y represents = $1.02.

I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!

Answer:

Step-by-step explanation:

x reprsents = 30 nickles

y represents = $1.02.

I need help I can’t understand having the answer is going to help a lot

Answers

Answer:

Step-by-step explanation:

35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4

Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5

Answers

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable to find the cost of the jeans

Answers

Answer:

n=75 pair of shoes

n-75=35 equation

n=35+75=110

cost of jeans=110

In 2030, the Census Bureau estimates that 19 of the 50 states will have a Spanish-speaking majority. What percent of the states will have a Spanish-speaking majority?

Answers

38%
19/50 times 2/2 is 38/100 or 38%

Find the area of a triangle with:
b: 14 cm
h: 23 cm
ANSWERS
322 cm2
322 cm3
161 cm2
161 cm3

Answers

Answer:

161cm2

Step-by-step explanation:

Area: 1/2 x base x height

1/2 x 14 x 23=161

Area is measured in cm2

Hope this helps!

Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above

Answers

none of the above
hope this helps :)
None of the above the answer would be 205
May God bless you and your family
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