The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?

21.80°
23.58°
66.42°
68.20°

Answers

Answer 1

Answer:

B. 23.58

Step-by-step explanation:

I got it right

Answer 2

The correct option is an option (b).

Angle of upstream:

If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed

Given that [tex]sin\theta=\frac{10}{25}[/tex]

Then the angle [tex]\theta[/tex] will be,

[tex]\theta= sin^{-1}(\frac{10}{25} )\\\theta=23.578[/tex]

The boat would need to be angled by about 23.58° upstream to travel due west.

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Related Questions

I needs help, I’ll give brainliest !!

Answers

Answer:

(4,-5)

Step-by-step explanation:

A box is formed by cutting squares from the corners of a rectangular piece of cardboard. The volume of the box is found by the equation V(h)=h(16-2h)(10-2h) where his a side of the square cutout. Which is the reasonable domain for this situation?

a. (0,5)
b. (0,10)
c. (0,8)
d. (0,infinity)

Answers

Answer:

A. (0, 5)

Step-by-step explanation:

Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:

[tex]h > 0[/tex] (1)

[tex]16-2\cdot h >0[/tex] (2)

[tex]10-2\cdot h > 0[/tex] (3)

From (1), (2), (3) we find that:

(1):

[tex]h > 0[/tex]

(2):

[tex]16 > 2\cdot h[/tex]

[tex]8 > h[/tex]

[tex]h < 8[/tex]

(3):

[tex]10 > 2\cdot h[/tex]

[tex]5 > h[/tex]

[tex]h < 5[/tex]

We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:

[tex]h > 0 \,\land\,h < 5\,\land\,h< 8[/tex]

[tex]0< h < 5[/tex]

In other words, the reasonable domain for this situation is A.

Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?

Answers

Answer:

23.6) $30.00

24.7) $9.27

25.8) I'm not sure

26.9) 40 nickles

Step-by-step explanation:

Need help ASAP!!
What slope would make the lines perpendicular?
Y=1/2x+8
Y=[?]x+2

Answers

Answer:

-2

Step-by-step explanation:

Gradient of perpendicular lines is -1

so divide -1 by ½

u get -2

5+5 100 points please help I'm in 8th grade and my teacher wants me to answer this

Answers

I don’t for sure but I tried

5+5=55

Hope this helped!

I WILL MARK BRAINIEST

Answers

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

A right triangle is shown below.



What is the value of x rounded to the nearest ten, if necessary?

Answers

8.5^2=4^2 + x^2

72.25=16 + x^2

56.25 = x^2

x= 7.5

Answer:

hmmmmm.... i'm only in 7th grade and to be honest i don't really know but i'll try on this. am i going to be doing this this year?

So from my logic in my empty  brain: 4.2?

Step-by-step explanation:

Because i flipped the pic around and so ,

First i got "x" in my brain and turned it into 9 from 8.5

then 9 divided by 8.5

wait a sec i just realized i made the most dumb mistake by dividing welp i'll just put out what i just fixed in my head and yea here ya go.

B+ for effort ?

Z- for iq?!   .-.?

Please help i don’t really understand it

Answers

Answer:

vvvvvvvvvv

Step-by-step explanation:

~ Is a sign for similarity. This essentially means you can do rigid transformations to a shape to get the exact shape of another. You would need proportional sides and congruent angles for this to work. The shapes are not proportional so it is not similar.

Which is the better buy?
3,805 pounds of cement for $266.35 or
5 tons of cement for $1,400.00

Answers

Answer:

3,805 pounds of cement for $266.35 is a better buy

Step-by-step explanation:

3,805 pounds of cement for $266.35

266.35 : 3,805= 0.07

check your work:  3,805 x 0.07 = 266.35

so for the first offer you will be paying $0.07 per pound

5 tons of cement for $1,400.00

1 ton = 2000 pounds

5 tons = 10000 pounds

1,400.00 : 10000 = 0.14

for the second offer you will be paying $0.14 per pound of cement. 3,805 pounds of cement for $266.35 is a better buy because you will be paying half of the price for each pound.

hope this helps!

#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%

Answers

It will be 25%

Step-by-step explanation:

Look at the subtraction expression below.

Which number line models this expression?
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

I took the quiz

Answer:

The Answer IS {A} just did the test!!

Step-by-step explanation:

PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property

Answers

Answer:4x + 12 = 2 ( 2x + 6)

 Step-by-step explanation:

Use these methods to normalize the following group of data:
200, 300, 400, 600, 1000
a) min-max normalization by setting min = 0 and max = 1
b) z-score normalization
c) normalization by decimal scaling

Answers

Step-by-step explanation:

b is the answer , z-score normalization

Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;

Given the data:

200, 300, 400, 600, 1000

1.)

Min - Max normalization :

[tex]\frac{value - min}{max - min} [/tex]

Min = minimum = 200

Max = maximum = 1000

Value = 200 :

[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]

Value = 300 :

[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]

Value = 400 :

[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]

Value = 600 :

[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]

Value = 1000 :

[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]

Normalized values = (0, 0.125, 0.25, 0.5, 1)

2.)

Zscore normalization :

[tex]\frac{value - μ}{σ} [/tex]

Using a calculator :

Mean, μ = 500Standard deviation = 316.227

Value = 200 :

[tex]\frac{200 - 500}{316.227} = -0.949[/tex]

Value = 300 :

[tex]\frac{300 - 500}{316.227} = -0.632[/tex]

Value = 400 :

[tex]\frac{400 - 500}{316.227} = -0.316[/tex]

Value = 600 :

[tex]\frac{600 - 500}{316.227} = 0.316[/tex]

Value = 1000 :

[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]

Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)

3.)

Decimal Scaling :

Maximum value = 1000

Hence, we can divide our values by 10000

200 / 10000 = 0.02

300/1000 = 0.03

400/1000 = 0.04

600/1000 = 0.06

1000/1000 = 0.1

Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)

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Shannon is paid £1150 a month after deductions.

What is her net annual salary? (A year = 12 months)

Answers

Answer:

I think that answer is 13800

Step-by-step explanation:

PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?

Answers

Answer:

try 15 / 2.25

Step-by-step explanation:

A rectangle has a perimeter of 186 kilometres and a height of 37 kilometres. What is the
length of the base?​

Answers

Answer:

Step-by-step explanation:

Perimeter of rectangle=2(height+base)

Given perimeter=186km

Height=37 km

So 186=2(37+base)

93=37+base

Base=93-37=56 km

write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)

Answers

Answer:

y - 8 = 1/3 (x + 2)

Step-by-step explanation:

The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).

Hope this helps!

The equation of the line will be written as to y - 8 = 1/3 (x + 2).

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

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#SPJ5

Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.

Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?

Answers

Answer:

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

m= 2

b= -2

-2x+2

Step-by-step explanation:

Hope that helps!

Find the measure of angle J

Answers

Answer:

Step-by-step explanation:

Equals 23x

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. . How many blue marbles are in the bag

Answers

If goal to get white marble then 16 if goal to get blue marbles then its 84

BRAINLIEST APPERICATED :D
There are 84 blue marbles in the bag

Write the first four terms of the sequence defined by the given rule: f(n)=n+4

Answers

Answer:

5, 6, 7, 8

Step-by-step explanation:

f(n) = n + 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

write the equation of the line in standard form passing through (2,-4) with a slope of -7​

Answers

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

a package of 5 pairs of insulated socks cost $34.95. what is the unit price of the pair of socks?

Answers

Answer:$6.99

Step-by-step explanation:

DO

$34.95/5=6.99

Answer:

$6.99

Step-by-step explanation:

you have to divide the 2 numbers above

Five students in Mr. Roberts' class are gathering donations for a party. The amount each student has collected is below. Student Amount Stanley $25.24 Rebecca $24.06 Mary $25.27 Rolly $24.14 Sheryl $24.60 Use clustering around an average to estimate the total amount the students collected. A. $125.00 B. $275.00 C. $50.00 D. $230.00

Answers

Answer:

The answer should be A. $125.00

Step-by-step explanation:

I rounded and added them jajaja.

If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that represents difference in the price between the mid-morning session and the early bird session?

Answers

Apply distributive property
(5x+6)-(2x-3)
=5x+6-2x+3 arrange like terms
Simplify =5x-2x+6+3
Equals 3x+9 final answer

Álvaro y Daniela participaron en un juego por Internet. Álvaro se encontraba en Panamá y Daniela en Portugal. Álvaro comentó que el juego empezó un lunes a las 4:00 a. m. De Panamá y Daniela dijo que el juego terminó a las 4:00 a. m. De portugal, pero del martes.
La hora en Portugal está a 6hrs adelantada que la de Panamá.
¿cuántas horas duró el juego?

Answers

Answer: I don’t speak your languag ;-;

Step-by-step explanation:

Can you help with the 2 that are not correct?

Answers

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5​

Answers

Answer:

[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

Answer:

y =  [tex]-\frac{1}{2}[/tex]x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = [tex]-\frac{5}{3}[/tex] + 2x

The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  [tex]-\frac{1}{2}[/tex] x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  [tex]-\frac{1}{2}[/tex]x + 12

Determining a Value of an Expression
Evaluate the expression
12 = 3y + y2y = 4 ) for y=3
f

Answers

Step-by-step explanation:

1/1=56÷£×€×^×/÷/€×€÷£÷88÷

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