A boat heads in the direction N 78° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It
is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
(20.5, 4.4)

Answers

Answer 1

Answer:

it is the vector

Step-by-step explanation:


Related Questions

can someone plz help no links plz

Answers

5^2 is first
Then we move to the parenthesis and do 4^2 second
That gives us 16 and since we are still in the parenthesis we subtract 16-13 next
Now we work from left to right so we do
8(3) next
Then 24 divided by three
Then 4(3)
Then last we add 33+12

how can i solve this problem if its congruent or not​

Answers

9514 1404 393

Answer:

  ∆BCR ≅ ∆BAR

  x = 6

Step-by-step explanation:

For congruence, define point R where the altitude line meets segment AC.

The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...

  ∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate

__

To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.

  x² +8² = 10²

  x² = 100 -64 = 36

  x = √36 = 6

The length of x is 6 units.

_____

As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)

You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.

5x-27/-3=-6
Solve for x

Answers

Answer:

9

Step-by-step explanation:

5x - 27 / - 3 = - 6

5x - 27 = - 6 x ( - 3 )

5x - 27 = 18

5x = 18 + 27

5x = 45

x = 45 / 5

x = 9

A long history of testing water samples in a certain lake has shown that the level of a certain pollutant is approximately normally
distributed with standard deviation 4.5 mg/L. What is the minimum number of samples required to estimate today's level to within 0.4
mg/L with 95% confidence? (Don't forget to round Zc to two decimal places!)

Answers

Answer:

The minimum number of samples required is 487.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation 4.5 mg/L.

This means that [tex]\sigma = 4.5[/tex]

What is the minimum number of samples required to estimate today's level to within 0.4 mg/L with 95% confidence?

This is n for which M = 0.4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.4 = 1.96\frac{4.5}{\sqrt{n}}[/tex]

[tex]0.4\sqrt{n} = 1.96*4.5[/tex]

[tex]\sqrt{n} = \frac{1.96*4.5}{0.4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*4.5}{0.4})^2[/tex]

[tex]n = 486.2[/tex]

Rounding up

The minimum number of samples required is 487.

Is 4/5 closer to 0,1/2, or 1?

Answers

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

4/5 = 0.8 and 1/2 = 0.5, so you could eliminate 0 as an answer. it would be between 0.5 and 1. my answer would be 1 because it’s closer than 0.5

Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.

Answers

Answer:

German Test

Step-by-step explanation:

Find common denominator:

34/50=68/100

14/20=70/100

Therefore, Abeer did better on the German test as 14/20>34/50

Jimmy pays 30% of his salary to tax before all other deductions. Jimmy fortnightly gross salary is 2,500. what is Jimmy's fortnightly net salary after tax?​

Answers

Answer:

1750

Step-by-step explanation:

So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750

The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate data set with 20 values. Alice claims that a sample size of 25 will produce a narrower interval, all other things remaining the same. Desmond claims that a sample size of 15 will produce a narrower interval. Which statement is true about the claims made by Alice and Desmond?

a. Alice’s claim is correct.
b. Desmond’s claim is correct.
c. Both Alice’s claim and Desmond’s claim are correct.
d. Neither Alice’s claim nor Desmond’s claim is correct.
e. There is not enough information to determine whether the claims are correct.

Answers

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of

Answers

Answer:

Step-by-step explanation:

18 tiles and 10 shaded in

Which statement can be used to find X

Answers

Answer:

it's letter D. cos 16⁰=²¹--x

Anyone know wat 792 divided by 5 is?

Answers

Answer:

158.4 i think

Step-by-step explanation:

Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z

Answers

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

if Andre swam 5 laps in 4 minutes, that means it took him 0.8 minutes to swim each lap. 0.8 times 22 = 17.6 so it took him 17.6 minutes to swim 22 laps.

Find the volume of the following figures with the given dimension

Answers

Answer:

[tex]V=192\ in^3[/tex]

Step-by-step explanation:

Given that,

The area of base, A = 24 in²

The height of the pyramid, h = 8 in

We need to find the volume of the following figure.

The volume of pyramid is given by :

[tex]V=A\times h[/tex]

Substitute all the values,

[tex]V=24\times 8\\\\=192\ in^3[/tex]

So, the volume of the pyramid is equal to [tex]192\ in^3[/tex].

What is the value of x?

Answers

4x+2=5x-6
4x-5x=-6-2
-x=-8
x=8
I think is x 8 I am not chare

Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches

Answers

Answer:

The perimeter of a triangle is equal to 18.81 inches.

Step-by-step explanation:

Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:

5 ^ 2 + 6 ^ 2 = X ^ 2

25 + 36 = X ^ 2

√61 = X

7.81 = X

5 + 6 + 7.81 = X

11 + 7.81 = X

18.81 = X

Therefore, the perimeter of a triangle is equal to 18.81 inches.

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

angle klj and angle poq :)

Step-by-step explanation:

PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?
3
-21
8
х
10
N
3
-1
-7
-4
-3
-1
.

Answers

Answer:

x = 1

Step-by-step explanation:

Given the matrix;

[tex]-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right][/tex]

Converting to equations

From the first row of each matrices

-2x + 3 = x

Collect the like terms

-2x - x = -3

-3x = -3

x = -3/-3

x = 1

Hence the value of x is 1

Solve the inequality for w.
4+4ws-16
Simplify your answer as much as possible.

Answers

Answer:

The answer is 4ws - 12

Step-by-step explanation:

1) Collect like terms.

[tex]4ws + (4 - 16)[/tex]

2) Simplify.

[tex]4ws - 12[/tex]

therefor, the answer is 4ws - 12.

The chamber of commerce for a beach town asked a random sample of city-dwellers, "Would you like to live at the beach?” Based on this survey, the 95% confidence interval for the population proportion of city-dwellers who would like to live at the beach is (0.56, 0.62).


Based on this poll, a chamber of commerce member claims that more than half of city-dwellers would prefer to live at the beach.

Use the confidence interval to evaluate this claim and select the true statement.



Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.


We cannot determine this without taking a census of all city-dwellers.


No, it is not reasonable to assume this because another 95% confidence interval might not be entirely above 0.50.


No, it is not reasonable to assume this because there are only two choices and the proportion of city-dwellers who should prefer either is exactly 0.50, not more than 0.50.


ITS A!!!!

Answers

Answer:

Ummm... ya its a becasue 95 is more then 50 (brainlest plzzzzzzzzzzzzzz)

Step-by-step explanation:

Answer:

A.Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.

Step-by-step explanation:

5/x=7/x-4
pls help me with this problem if u help i willl heart and follow you​

Answers

Answer:

5/x = 7/x-4

5(x-4) = 7(x)

5x - 20 = 7x

5x - 7x = 20

-2x = 20

x = -20/2 = -10

Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?

Answers

Answer:

The answer is "40 second".

Step-by-step explanation:

Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.

[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]

Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.

help please thank you

Answers

Answer:

i think its 8r^4

hope this helps

Step-by-step explanation:

Do u know rulers take 2# I already ask this question its just take I put the wrong file

Answers

Answer:

9 and a half inches

Step-by-step explanation:

Just count via the ruler!

Answer:

9 4/10 inches

Step-by-step explanation:

look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.

hope this helps

1/3 divided by 7/6 can u solve it?????

Answers

Answer:

2/7

Step-by-step explanation:

when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7

Answer:

0.28571428571

Step-by-step explanation:

This is the calculated answer.

But after a lot of. technical,work the answer,ends up be 2/7

Which graphs are proportional?

A.
B.
C.
D.

Answers

Answer: Hello, There! your Answer is Below

C And D Are your Answer

Step-by-step explanation:

Hope this Helps you !!!

Have a great day!!!

19 - a = 42

What is a?

Answers

A=61 since if you do the opposite equation 42+19=61

Answer:

61

Step-by-step explanation:

add 42 the 19 because of reverse operation

The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units

Answers

Answer:

27 cubic units

Step-by-step explanation:

A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units

Is the following number, rational, irrational, or nonreal?​

Answers

Answer:

Rational

√36

=6

plz mark me as brainliest

Answer:  Rational

Step-by-step explanation:  

= /36

= 6

 

Can you give me a thank you?

GIVING EVERYTHING IF CORRECT. NO MORE LINKS.

Answers

I think the answer is C

Four groups of some amount equals 52 in a algebraic equation

Answers

Answer:

where's the full question

Step-by-step explanation:

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