Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of 2.5 m/s. At what angle should the boat be oriented south, relative to the westward direction, such that the boat will be traveling due west? Round to the nearest degree.

Answers

Answer 1

Answer: [tex]24^{\circ}[/tex]

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]

Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]

South component of boat velocity must compensate the river velocity in order to travel in west direction.

[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]

Suppose A River Flows South To North At A Velocity Of 1 M/s, And A Motorboat Traverses The River From

Related Questions

Which graph represents the following piecewise defined function? g(x) = 1/2 x +3 , x< -2 g(x) = 2, -2<_ x <_3 g(x) = 2x-3 , x>3

Answers

In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

When x is less than -2, the definition is:

[tex]g(x) = \frac{x}{2} + 3[/tex]

When x is between -2 and 3, inclusive, the function is:

[tex]g(x) = 2[/tex]

When x is greater than 3, the definition is:

[tex]g(x) = 2x - 3[/tex]

The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.

For another example of a piece-wise graphic, you can check https://brainly.com/question/24324639.

Answer:

D

Step-by-step explanation:

edge!

What is the answer for y=?

Answers

Answer:

hwukebhejsnsknbjbbjkkkkkkkk

find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.​

Answers

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

One more, again I aplolgize!
Identify the solid.
A.
pentagonal prism
B.
dodecahedron
C.
hexahedron
D.
hexagonal prism

Answers

Answer:

I would say it is D

Step-by-step explanation:

A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent

Answers

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?

Answers

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Find the measure of FG

Answers

Answer:

D. 7

Step-by-step explanation:

I guessed on it because i had the same problem and then i checked and it was right!

7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form

Answers

Answer:

3/2

Step-by-step explanation:

the LCM is 2Thanks Hope It Help

Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.

Answers

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

What is the value of n

Answers

Answer:

60

Step-by-step explanation:

60 would be the answer

Solve x4 – 2x2 – 24 = 0.

Answers

Answer: 7

Step-by-step explanation:

Given that line AD is the angle bisector of

Answers

Step-by-step explanation:

3x+1 = 5x-1

3x+2= 5x

2x= 2

x= 1

I need answer LOL :(

Answers

.7 i think since it takes up most of the area

Solve for x. Round to the nearest tenth.

Answers

Answer:

D. 14.1

Step-by-step explanation:

Use sin, opposite over hypotenuse.

sin67 = 13/X

solve for X

y-3=2(x-3) y+5=2(x+1)
choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines

Answers

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1)        ;   y + 5 = 2(x+1) ...........(2)    

y = 2x - 6 + 3                ;  y = 2x + 2 - 5    

y = 2x -3                       ;  y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2                           ; m2 = 2

c1 = -3                           ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.​

Answers

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting [tex]r=9,t=3[/tex] in the above formula, we get

[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]

[tex]I=\dfrac{27P}{100}[/tex]

[tex]I=0.27P[/tex]

We know that,

[tex]\text{Amount}=\text{Principal + Interest}[/tex]

[tex]9144=P+0.27P[/tex]

[tex]9144=1.27P[/tex]

Divide both sides by 1.27, we get

[tex]\dfrac{9144}{1.27}=P[/tex]

[tex]7200=P[/tex]

Therefore, the principal value is Rs. 7200.

Solve for b.
- 3b-5> - 8 or b - 4 < 0

Answers

Answer:

b<4

Step-by-step explanation:

- 3b-5> - 8 or b - 4 < 0

Solve the first inequality

- 3b-5> - 8

Add 5 to each side

- 3b-5+5> - 8 +5

-3b> -3

Divide by 3, flipping the inequality

-3b/-3 < -3/-3

b <1

Then solve the second inequality

b-4<0

Add 4 to each side

b<4

Put them back together

b<1 or <4

Merge them since they overlap

b<4

La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio

Answers

Answer:

dont understand clearly

Step-by-step explanation:

dont understand clearly

What sum of money amount to Rs 6000 in two years at the rate of 10% per annum find it​

Answers

Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.​

Step-by-step explanation:

Amount = Rs 6000

T = 2 year

R = 10%

So

I = A-P

so

I = PTR/100

or, A-P = (P*2*10)/100

or, 6000-P = 20P/100

or, 600000-100P = 20P

or, 600000 = 120P

or, P = 600000/120

so, P = Rs 5000

3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder ​

Answers

Answer:

Lateral surface area= circumference*height

120=12*h

h=10cm

Answer:

h=10 cm

Step-by-step explanation:

cicumference of a circle C=2πr=12

lateral surface area of cylinder=2πrh

120=12h

h=120/12=10 cm

Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?

Answers

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Please help me multiply this

Answers

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.​

Answers

Answer:

1beg-------------50kg

10beg------------x

x=500kg to grames 500×1000=500000grams

Answer:

500000g

Step-by-step explanation:

first of you multiply the 50kg with the 10 bags

which gives 500kg

then you convert 500kg to grams

which is 500kg/1×1000g/1kg

when you cancel out the kg what is left is to multiply both sides and then you get 50000g.

Use the order of operations to simplify this expression. Express your answer in simplest form.

1/2+2/3÷ 5/9​

Answers

Answer:

1/4/3÷5/9

1/4/3÷9/5

1/4/3/5

using the inverse trig functions, find the measure of angle X to the nearest degree

1. 64°
2. 16°
3. 90°
4. 74°​

Answers

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

Can someone help me with this math problem please?

Answers

First u have to find the square root for the number and then answer all of the root question then u have to find the angels

Answer:

C

Step-by-step explanation:

g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.

f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.

The answer is c

Solve x^2−4x−12=0 by completing the square. PLEASE HELP QUICK WILL GIVE BRAINLIEST

Answers

Answer:

The answer is B

Step-by-step explanation:

If u use calculator,u will get the ans as x¹=6 and x²= -2 but u have to change it to the opposite which means negatif to positive(-2=2) and positive to negative(6= -6).Hope u can understand...sorry,English isn't my first language

Answer:

x= 6 and x=-2

Step-by-step explanation:

find the two factors that when multiplied will get -12 and when summed up will get -4.

so -6 and 3

(xsquare-6) +(2x -12)=0

x(x-6)+2(x-6)=0

(x-6)=0 (x+2)=0

group like terms

x=6. x=-2

find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.​

Answers

We shall proceed in hit and trial method

Find some nearest multiples of 252

252(2)=504252(3)=756252(4)=1008252(5)=1260252(6)=1512252(7)=1764

Yes last one is square of 42

So smallest no is 7

y Given: 6x + 7 = 8x - 17; Prove: x = 12

On the left aide is the equation solved step by step and on the right side is where you have to explain what you did to do that equation..(in each column just say what property you used to solve it..Distributive Property, Subtraction Property, Addition Property, Division Property, Multiplication Property etc..)​

Answers

REASONS:-

1ST STEP

[tex]6x + 7 = 8x - 17 [/tex]

GIVEN LHS = RHS

2ND STEP

[tex]7 = 2x - 17[/tex]

Bez +ve 6x when move to another side will change to -ve so it reduces 8x to 2x

3RD STEP

[tex]24 = 2x [/tex]

Bez -ve 17 when move to another side will change to +ve so it increases 7 to 24

4TH STEP

[tex]12 = x[/tex]

Bez 2 in multiplication when move to another side will change to division so it reduces 24 to 12

5TH STEP

[tex]x = 12[/tex]

it the answer we obtained after solving

i need helpp plzzz!!!!!!!!!!!!!!!!

Answers

Answer:

314.159265

Step-by-step explanation:

Area = pi(r)^2

Since radius isn’t identified diameter must be divided in half

radius = 10

Area = pi(10)^2

Multiply 10 x 10

10 x 10 = 100

Area = pi(100)

Multiply 100 by pi

pi x 100 = 314.159265
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