The speed of the boat will be 12.18 mph, and the angle of its direction measured from the positive x-axis will be 224.3°
What we can say about the boat speed?
First, let's define North as the positive y-axis and east as the positive x-axis.
In this coordinate axis, the angle S 60° W is equal to 210°.
Then the velocity of the boat will be:
v = (17mph*cos(210°), 17mph*sin(210°))
Now we also need to add the speed of the river, which is 6mph to the east, then the final velocity of the boat will be:
v = (17mph*cos(210°) + 6mph, 17mph*sin(210°))
v = (-8.72mph, -8.5 mph)
Then the speed of the boat will be:
|v| = √( (-8.72mph)^2 + (-8.5 mph)^2) =12.18 mph
And the angle, measured from the positive x-axis, will be given by the arctangent of the quotient between the y-component and the x-component:
Atan(-8.5 mph/-8.72mph) = 224.3°
If you want to learn more about velocity, you can read:
https://brainly.com/question/19365526
i need help with my 8th grade math
Answer:
x = -2.38
Step-by-step explanation:
divide 3 to up 3x then 4 and divide them by 2.
Petra buys candles in bulk for her store. Her cost for each candle is $9. She marks up the cost of the candles 85% to sell them. What is the retail price of each candle? I’m
Answer:
500
Step-by-step explanation:
divided then subtract
solve for x. 36x+2=110. show work
Answer:
Answer to x is 3. so it would be x = 3
Answer:
x=3
Step-by-step explanation:
36x+2-2=110-2
36x=108
36x/36=108/36
x=3
The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full
barrel of ink in the pen is used up on writing 3300 words on an average. How many words can
be written in a bottle of ink containing one fifth of a litre?
Answer:
480,000 words
Step-by-step explanation:
For barrel of pen:
h = 7 cm, d = 5 mm
r = 5/2 = 2.5 mm = 0.25 cm
[tex]Volume \: of \: barrel = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {(0.25)}^{2} \times 7 \\ \\ = 22 \times 0.0625 \\ \\ = 1.375 \: {cm}^{3} \\ \\ one \: fifth \: of \: a \: litre \\ = \frac{1}{5} \times 1000 \: ml \\ \\ = 200 \: ml \\ \\ = 200 \: {cm}^{3} \\ \\ no \: of \: words = \frac{3300 \times 200}{1.375} \\ \\ = \frac{660000}{1.375} \\ \\ = 480,000 \\ [/tex]
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
Answer:
$12 per hour
Step-by-step explanation:
51 -39 =12 minutes 31 -27=12minutes
also took the test
$12 per hour
just took the test hope this helps:)
Can someone help me with this question I haven’t seen this answer yet
Determine the slope of the line from the given two points. (-2, 3) and (1, 8).
Answer:
5/3
Step-by-step explanation:
to find slope use the question:
y2-y1
x2-x1
8-3
1--2
5
3
ก
What is the y-intercept of the quadratic function
f(x) = (x - 6)(x - 2)?
Answer:
y = 12 → (0|12)
Step-by-step explanation:
f(x) = (x - 6)(x - 2)
y = (x - 6)(x - 2)
y = x² - 6x - 2x + 12
y = x² - 8x + 12
y = 0² - 8*0 +12
y = 12
1+1=?
5
2
4
7
this question is really hard and confusing
Answer:
I think it is 2
Step-by-step explanation:
I hope this is right! Please Rate Brainiest!
Answer:
its obv 478
Step-by-step explanation:
1+1=2 divoided by 400=294-478
PLEASE HELP WILL GIVE BRAINLIEST I PROMISE NO LIES
The prime factorization of 76 is _____.
2^2 · 19
2 · 38
76
2^3 · 7
The Prime Factorization of 76
Answer : 2^2 • 19
In a fruit salad, the ratio of watermelon to strawberries is 2:3. if there are 27 strawberries in the fruit salad, How many pieces of watermelon are there?
Answer: 18
Step-by-step explanation:
27 strawberries divided by 3 strawberries = 9
2 watermelon times 9 = 18 watermelon
y =(x - 2)3 + 2
.
Plz help I do not understand
Answer:
get photo math it will help alot
Ricky, Nathan, and Henry collect comic books. Ricky owns twice as many comic books as Nathan.
Henry owns
1
3
as many comic books as Ricky. If Nathan owns 129 comic books, how many does
Henry own?
Answer:
9/12
Step-by-step explanation:
Find the value of the variable.
The required value of variable m is 15.
Gvien that,
A line segment AC is given, On which B is the midpoint,
AB = 3m + 5
and BC = 4m - 10
AB = BC
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
AC is the line segment where B is the midpoint on the line AC. So,
AC = AB + BC
AB = BC
3m + 5 = 4m - 10
m = 15
Thus, the required value of variable m is 15.
Learn more about function here:
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#SPJ2
Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.0
A. - 50
B. -5
C. 2
D. 8
Answer:
C. 2
Step-by-step explanation:
Step 1: Define
g(x) = 4x + 6
g(x) = 14
Step 2: Substitute and Evaluate for x
14 = 4x + 6
8 = 4x
x = 2
Which of the equations below will answer the following question? Select all that apply. Explain your answers.
I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?
x + 28 = 80
4(x+7) = 80
4x + 7 = 80
4x + 28 = 80
Solve for the value of z.
(5z-4) 39
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
As we know,sum of angles on a straight line is 180 degree..
(5z-4)+90+39=180
=>5z-4+90+39=180
=>5z-4+129=180
=>5z+125=180
=>5z=180-125
=>z=55÷5
Hence,the value of z=11 degree
The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled. The total capacity of the water tank is gallons, and the rate of change is gallons per hour.
Answer:
Total capacity of the water tank is 400 gallons
Rate of change in water level is 20 gallons per hour
Step-by-step explanation:
The graph attached represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.
The total capacity of the water tank is represented by the y-intercept of the graph that is 400 gallons.
Now to calculate the rate of change in water level we will take two points on the given line and find the slope.
There are two points (0, 400) and (5, 300) on the line.
So the slope of the line is (400-300)/(0-5)= -100/5= -20
This minus notation of slope shows that level of water is reducing and rate of change in water level is 20 gallons per hour.
someone answer this??
Answer:
corresponding angle
Step-by-step explanation:
Is the line through points p (3,-5) and Q(1,4)parallel to the line through points R( -1,1) and S (3,-3)
Answer:
No
Step-by-step explanation:
To find out if the lines that go through the pairs of points are parallel, we must find the slope of each line. If the slopes are equivalent, then they are parallel. If not, then they are not parallel.
We can use the slope formula to find the slope between two points. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between the points (x₁, y₁) and (x₂, y₂).
Lets first find the slope between points P and Q.
[tex]m=\frac{-5-4}{3-1}=\frac{-9}{2}=-4.5[/tex]
So the slope between P and Q is -4.5.
Now lets find the slope between the points R and S.
[tex]m=\frac{-3-1}{3-(-1)}=\frac{-4}{4}=-1[/tex]
So the slope between R and S is -1.
Since -4.5 does not equal -1, the lines are not parallel.
I hope you find my answer and explanation to be helpful. Happy studying.
5. Trey currently has $300 in his bank account. He is trying to save for a new laptop that costs $900. If he saves $20 a day, which equation shows how many days it will take for Trey to have enough for his laptop.
A. 300x + 20 = 900
B. 20x + 300 = 900
C.900 + 20x = 300
D. 20x - 900 = 300
How many days until Trey is able to buy his laptop?
help me pls u get 10 points
Área and volume
Length: 19-1/2' and width 66-3/8'
Answer:
the area is -155/8
Step-by-step explanation:
can't tell you what the volume is because there is no height to solve volume
Between which two consecutive whole numbers does \sqrt{3} 3 lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{3} 3 to an approximately correct location on the number line. Between which two consecutive whole numbers does \sqrt{3} 3 lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{3} 3 to an approximately correct location on the number line.
Answer:
It lies between 5 and 6
Step-by-step explanation:
Two consecutive numbers are numbers that come after each other:
x , x + 1 are consecutive numbers.
3 \sqrt{3} = 3√3 = 5.19615242271
Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6
Answer:
It lays Between 2 and 3
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer:
yes
Step-by-step explanation:
Answer:
proportional
Step-by-step explanation:
it is proportional
y/x=k ( constant)
5/1=10/2=15/3=20/4=5
y=5x
Find the value of xxx in the triangle shown below.
Answer:
Can I get image of it?
Step-by-step explanation:
Answer:
Image?
Step-by-step explanation:
In a library 20% of the books are fiction (a) what percentage are non fiction?(b) if there are 6000 books in the library. how many are fiction and how many are non fiction
Answer:
A) 80%
B) Non-Fiction = 4,800 books Fiction = 1,200 books
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answers:
a) 80% nonfiction
b) 1200 fiction, 4800 nonfiction
=========================================
Explanation:
part (a)
We only have two choices: fiction or nonfiction
If 20% are fiction, then 100% - 20% = 80% are nonfiction.
The two percentages 20% and 80% add to 100% to represent all the books.
---------------------
part (b)
20% = 20/100 = 0.20
20% of 6000 = 0.20*6000 = 1200
we have 1200 fiction books
6000-1200 = 4800
and we have 4800 nonfiction books
Note how
80% of 6000 = 0.80*6000 = 4800
which helps confirm part (a)
Coffee beans are packaged in 50 kg cartons with an allowable error of 0.7% What is the acceptable weight range for a carton of coffee beans?
Answer:
49.65 to 50.35
Step-by-step explanation:
50kg+0.7%
50kg-0.7%
Answer:
A is the answer
Step-by-step explanation:
Pls help
Write a recursive AND explicit formula AND find the 7th term for each sequence:
1. 5,0,-5,-10
2. 3,4.5,6,7.5,9
Answer:
1)5-5x
2)3+1.5x
Step-by-step explanation:
5-5(7)=-30
3+1.5(7)=13.5
2x + 5 = 8x-7-6x What is the answer to this question?
Answer:
No solution
Step-by-step explanation:
Factor each completely.
10a² - 9a + 2
Answer:
a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Equate the equation to zero
[tex]10a^{2}[/tex]-9a+2=0
[tex]10a^{2}[/tex]-5a-4a+2=0
5a(2a-1)-2(2a-1)=0
Write out the factors
(5a-2)(2a-1)=0
Then equate each factor to zero
5a-2=0 OR 2a-1=0
5a=2 OR 2a=1
a= [tex]\frac{2}{5}[/tex] OR a= [tex]\frac{1}{2}[/tex]
a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]