A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.

Answers

Answer 1

Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

[tex]V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i[/tex]

The vertical component of the velocity is calculated as;

[tex]V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j[/tex]

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)


Related Questions

i’m really confused can somebody like explain the steps

Answers

Answer:

58 yards^2

Step-by-step explanation:

You want to break this irregular shape into simple shapes. You can make a rectangle with the sides of 4 and 6 yards, whose are is 24 yards^2.

Then you can do the rectangle on the opposite side, whose sides are 4 and 6 yards, whose are is 24 yards^2 again.

Then the final rectangle has the sides of 5 and   2 yards, whose area is 10 yards^2.

If you add it all up, you will get 58 yards^2.

what are numbers called that are the same distance from 0 but in opposite directions

Answers

opposites are the same difference from zero!

Need quickly

Congruence

Identify all of the corresponding angles. Select all that applies. On my last check :( (Giving brainliest to correct answer)

Answers

Answer:

B, C, and E

Step-by-step explanation:

For triangle DBZ

angle on right is ZBD

angle on bottom left is BZD

angle on top is BDZ

For triangle DCX

angle on left is XCD

angle on bottom right is CXD

angle on top is CDX

Find the distance between the two points rounding to the nearest tenth (if necessary) (-1,-2) and (5,2)

Answers

Answer:

Distance between the two points

AB = √52 = 7.2111

Step-by-step explanation:

Explanation:-

Given points are (-1,-2) and (5,2)

Distance formula

                 [tex]= \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

                [tex]= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }[/tex]

               [tex]= \sqrt{(6 )^{2} +(4)^{2} }[/tex]

              =   √36+16

             =√52

            = 7.2111

Final answer:-

Distance between the two points

AB = √52 = 7.2111

Write the ratio as a percent.
In a survey of 100 full-time students at a certain college, 62 were employed at least part-time.

Answers

Answer:

62%

Step-by-step explanation:

This one's easy to solve as a percentage because the total number was 100 to begin with. Simply divide the number of employed students by the total amount of students, 62/100, which gets 0.62, or 62%.

4 brainliest only correct answers
Select all statements that are true about the graph of ordered pair (5, −1).

The point is in the fourth quadrant.
The point is 5 units below the x-axis.
The point is 1 unit to the left of the y-axis.
The point is 1 unit below the x-axis.
The point is on the x-axis.

Answers

Answer:

The point is in the fourth qaudrant

and, the point is 1 unit below the x-axis

Step-by-step explanation:

hope this helped

Please help!!
Point M is between L and N. LN = 23 and MN = 3. Find LM.

Answers

Answer:

[tex]LM = 20[/tex]

Step-by-step explanation:

Given

[tex]LN = 23[/tex]

[tex]MN = 3[/tex]

Required

Find LM

Because M is between L and N, then

[tex]LN = LM + MN[/tex]

Substitute values for LN and MN

[tex]23 = LM + 3[/tex]

Collect Like Terms

[tex]LM = 23 - 3[/tex]

[tex]LM = 20[/tex]

Linear or not linear PLZZ HELP ME :(

Answers

Answer:

B is the only one that is linear

Step-by-step explanation:

Answer:

no yes no no

Step-by-step explanation:

Linear means straight line and from the other equations they have exp.: ^2 ^3  which makes the line not straight si. you have to find a straight lined problem (:

1) Diego drank x ounces of juice. Lin drank 1/4 less than that

2) Lin ran x miles. Diego ran 3/4 more than that

3) Diego bought x pounds of almonds Lin bought 1/4 of that


(Drag and drop plz help)

Answers

Answer:

Follows are the solution to this question.

Step-by-step explanation:

Please find the solution file for the question in the attachment.

When solving this equation: -16 + x = -15 we start with adding 16 to both sides. Why do we use addition?​

Answers

Answer:

So you can cancel out the 16. See, the -16 is negative, and if we add +16 to it, then it cancels out and is 0. That way, you have x=1.

Step-by-step explanation:

-16x+x=-15

+16x      +16

   0+x=1

       x=1

Brady tosses a coin three times. Each toss could be heads or tails. Which
outcome would be included in the compound event "at least two tails"?​

Answers

Answer:

Option B

Step-by-step explanation:

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails.

Option B is the correct option.

Answer:

Step-by-step explanation:

not its THH

help me plss!!!! thank you!!!!

Answers

HE SPENT SIX MORE HOURS

1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)​

Answers

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

Which expression is equivalent to
4 • 7 + (3 + (-3))?

A. 4 • 7 + 3
B. 4 • 10
C. 4 • 7 + 1
D. 4 • 7 + 0

Answers

Answer:

4 • 7 + ( 3 + ( -3) ) is equivalent to D. 4 • 7 + 0

Hope it helped ❤

Найдите подходящее число, на которое можно разделить обе части уравнения и найти решение уравнения
3x = 12 | :
x =

5x = –10 | :
x =

–7x = 21 | :
x =



0,1x = 2 | :
x =

0,01x = –4 | :
x =

Answers

Answer:

Смотрите в объяснении.

Step-by-step explanation:

x=4

x=-2

x=-3

x=20

x=-400

Надеюсь, это помогло! :)

Ian walked 4 miles in 90 minutes. Bob walked 7 miles in 2.5 hours. Are these rates in proportion? If no, who walked faster?

Answers

Answer:

Bob walked faster than Ion.

Step-by-step explanation:

90/4=22.5

Ian - 1 mile in 22.5 minutes

2x60=120

60/2=30

120+30=150

150/7=21.43

Bob - 1 mile in 21.43

Answer:

They are not the same because Ian - 1 mile in 22.5 minutes and Bob - 1 mile in 21.43

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Find the value of x.

Answers

Answer:

x = 26

Step-by-step explanation:

If angle a and b are congruent, then set 68 and 4x + 8 together to equal to 180 on the right side.  Combine 68 and 8 together to get 76.  Then, subtract 76 on both sides to get 104 on the right side.  Divide that number by 4 to get your x-value which is 26.

HELP ASAP PLEASE!!!!

Answers

Answer:

bqgsdfgsdfghsdfbvcxbxcvb

Step-by-step explanation:

my grandmother told me the answer

I GIVEEEEE BRAINLILSTTTTT

Answers

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the leftmost side of the black shape corresponds with the leftmost side of the blue shape. The side on the black shape measures 2 units while the side on the blue shape measures 4 units.

Now, we divide the length of the side taken from the figure by the length of the side taken from the original shape.

4/2=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Answer:

15- =18/ 1678s 2792 - 2- =22

Step-by-step explanation:

You have $4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters. How much of each coin do you have?

show work


PLEASE I NEED HELP ASAP

Answers

Answer:

13 quarters and 21 nickels

Step-by-step explanation:

In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.

0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)

0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)

0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)

0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)

0.3x = 3.9 (Divide both sides by 0.3)

x = 3.9/0.3 (Divide 3.9 by 0.3)

x = 13

Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.

Substitute x for 13 in the equation to see if this is true.

0.25(13) + 0.05(13 + 8) = 4.3

3.25 + 0.05(21) = 4.3

3.25 + 1.05 = 4.3

4.3 = 4.3

So, x is 13.

There are 13 quarters and 21 nickels do we have.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

$4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters

0.25x + 0.05(x + 8) = 4.3

Apply distributive property

0.25x + 0.05x + 0.4 = 4.3

0.3x + 0.4 = 4.3

Subtract 0.4 from both sides

0.3x = 4.3 - 0.4

0.3x = 3.9

Divide both sides by 0.3

x = 3.9/0.3

x = 13

Hence, there are 13 quarters and 21 nickels we have.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

I NEED HELP NOWWW WIRNSJJAJJDJDJMAMA

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation: 9 cm and 18cm

The half-life of a radioactive isotope is 140 days. In how many days does the decay rate of a sample of this isotope decrease to one fourth its initial decay rate? A) 35 days B) 70 days C) 105 days D) 210 days E) 280 day

Answers

Answer:

It mus be 70 because you half 140 hence its called 'half life'

i giveeee brainllstttt

Answers

Answer:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj\jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

what are the measures for 1 and 4

Answers

Answer:

1: 90

4:90

Step-by-step explanation:

Answer: 110

Explanation: all 3 angles have to add up to 180.

Both the right and left angles are the same and since the left angle is 35 degrees we can safely conclude the right angle is as well, so all you have to do is is both of the 35 degree angles together which gives you 70, then subtract it from 180. 180-70=110 so that is the angle of 1. and since the bottom and top are the same the angle of 4 is also 110

C. Find the value of X. Show your work. Congruent triangles



Answers

Answer:

Step-by-step explanation:

1) 97 + x = 64 + 27          {Exterior angle property}

    97 + x = 91

            x = 91 - 97

          x = -6

2) 4x + 17 + 80 + x + 23 = 180   {Angle sum property of triangle}

 4x + x + 17 +80 + 23 = 180

                 5x + 140   = 180

                             5x = 180 - 140

                              5x = 40

                                 x = 40/5

                                x = 8

1/15 + 1/5= 2/3 or 9/10​

Answers

Answer:

i think its 9/10

Step-by-step explanation:

Clarissa is saving for a coat that costs $55.99. She earns $22.75 babysitting and $10.50 dog walking. How much more money does Clarissa need?

please tell me the answer
[ ]

Answers

Answer:

22.74 i think

Step-by-step explanation: Add 22.75 to 10.50 then subtract that number to 55.99

Answer:

22.74

Step-by-step explanation:

PLEASE ANSWER

(x + )^2 =

Answers

Answer:

x^2 = x * x

Step-by-step explanation:

I think you might be missing a number but if not then this is the answer

Keenan is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 118-yard warmup and then swim laps in a lane that is 41 yards long. If Keenan swims at the indoor pool at his gym, he will complete a 154-yard warmup, plus a main set that consists of 32 yards per lap. If Keenan swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take? How long will Keenan's workout be in total?

Answers

9514 1404 393

Answer:

4 laps282 yards

Step-by-step explanation:

For n laps, the length Keenan swims in the rec center pool is ...

  118 + 41n

and the length he swims in the gym pool is ...

  154 +32n

These are equal length for equal numbers of laps, so we have ...

  118 + 41n = 154 + 32n

  9n = 36 . . . . . . . . . . . . . subtract 32n+118

  n = 4 . . . . . . . . divide by 9

Then the length of Keenan's workout is ...

  118 +41(4) = 282 . . . . yards

It will take 4 laps to make the workout total 282 yards in each pool.

can someone please help

Answers

Answer:

[tex] \boxed{ \boxed{ \tt{3. \: \: \: \: \underline{ \: 11.85}}}}[/tex]

[tex] \boxed{ \boxed{ \tt{ \: 4. \: \: \: \: \: \: \: \underline{13 \sqrt{3} \: cm}}}}[/tex]

Step-by-step explanation:

First , A simple way how to remind the three basic trigonometric functions is by reminding the famous word " SOHCAHTOA". We divide the word in three words with three letters.

[tex] \underline{ \underline{ \sf{SOH , \: CAH , \: TOA}}}[/tex] :

The first letter of each word represents the name of the function.The second letter represents what's up the ratios sign.The third one represents what's at the bottom of the ratio sign.

We write :

[tex] \sf{sin \: \theta = \frac{opposite}{hypotenuse} }[/tex][tex] \sf{cos \: \theta = \frac{adjacent}{hypotenuse}} [/tex][tex] \sf{tan \: \theta = \frac{opposite}{adjacent}} [/tex]

Now , Let's work on it :

3. Based on the figure ( 3 ) , we know the hypotenuse ( i.e 15 ) & the angle 53° & we have to find the opposite ( x ).

[tex] \sf{ \sin(53) = \frac{opposite}{hypotenuse} }[/tex]

⇾ [tex] \sf{0.79 = \frac{x}{15}} [/tex]

⇾ [tex] \sf{x = 11.85}[/tex]

----------------------------------------------------------------

5. Based on the figure ( 4 ) , we know the adjacent ( i.e 13 cm & the angle 60° & we have to find the opposite ( x ).

[tex] \sf{ \tan(60}) = \frac{opposite}{adjacent} [/tex]

⇾ [tex] \sf{ \sqrt{3} = \frac{x}{13} }[/tex]

⇾ [tex] \sf{x = 13 \sqrt{3}} [/tex] cm

And we're done !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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