A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.​

Answers

Answer 1

Answer:

-10sin45+15cos60=Hor distance = 5.92 km

-10cos45+15sin60=ver distance = .429 km

resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east

Step-by-step explanation:


Related Questions

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find and graph all the possible combined weights of the kittens.

Answers

Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss

Please help me Find the slope no links or bots please and thank you I really need help

Answers

Answer:

B) -7/4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify.

y = -7/4x + 4

Step 2: Break

Slope m = -7/4

y-intercept b = 4

I need help on this. I've no idea about this. Please help me...​

Answers

Answer:

Answers are below.

Step-by-step explanation:

Hope this helps:)

write an equation in slope-intercept form of the line that passes through the points (-5,-3) and (1,9)

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 3 ) and (x₂, y₂ ) = (1, 9 )

m = [tex]\frac{9-(-3)}{1-(-5)}[/tex] = [tex]\frac{9+3}{1+5}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 9 ) , then

9 = 2 + c ⇒ c = 9 - 2 = 7

y = 2x + 7 ← equation of line

Write 3.005 as a fraction in the simplest form​

Answers

Answer: 601

              200

Step-by-step explanation: when you reduce 3.005 it is 601/200 and it is in its simpilist form

Answer:

3\frac{1}{200}

Step-by-step explanation:

Is this graph a function or not a function

Answers

Answer:

No, it doesn't pass the vertical line test.

Step-by-step explanation:

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.

Answers

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

We have to determine

Which expression finds the measure of an angle that is coterminal with a 45° angle?

According to the question,

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

A coterminal with 45° is 45°+k°360° with k as an integer.

Then,

The coterminal angle with 45°,

When k = 0

Then,

[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]

When k = 1

Then,

[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]

When k = -1

Then,

[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

https://brainly.com/question/12378421

A. -78
B. 49
C. 53
D. 14

Answers

Answer: 49

Step-by-step explanation:

mori has 6 7/10 pounds of potatoes. she uses some of the potatoes in a salad. now she has 2 2/5 pounds of potatoes left. How many pounds did maori use?

Answers

Answer:

43/10 pounds = 4 3/10 pounds

Step-by-step explanation:

for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.

What is the LCM of 8 and 10

Answers

40


8x5=40
10x4=40

Hope this helps

When is christmas 2021

Answers

Answer:

IN 15 days

Step-by-step explanation:

EASY

MARK AS BRAINLIEST

Answer:

in december 23-24

Step-by-step explanation:

i gueess

Brainliest
Please do one of the above
(I would appreciate if you did more then one)

Answers

Answer:

a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6

Step-by-step explanation:

a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.

tan58=84/x

find x by dividing 84 by tan58, and you get 52.5ft.

b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.

multiply 131 by tan17, and you get x=40.1 feet.

c) This question wants you to find the length of the slide, (basically the hypotenuse).

given the angle to be 46, do sin46=9/x

since sin is opp/hyp

9/sin46= 12.5ft

d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.

tan^-1=(16/5)=theta

x=72.6 hope this helps!

Answer:

Step-by-step explanation:

what the sum of 9999x23

Answers

Answer:

suma is 229,997

Step-by-step explanation:

229,997

The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those five hours?

Answers

Answer:

22.5

Step-by-step explanation:

You take the unit rate and multiple that by how many hours are going by. 4.5x5

I need help plz asp

Answers

9

Step-by-step explanation:

woody is 5

buzz is 3

mr potato head is 3

rex is 7

alien is 1

4/9 + 9/18. Please help me as soon as possible, it's due today.

Answers

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

find the some of -3x^2-x-10 and 10x^2+x-10

Answers

Add likewise terms together (add the coefficients of x^2 together, same with just x, etc)

10x^2 – 3x^2 = 7x^2

1x – 1x = 0

– 10 – 10 = –20

So the answer is 7x^2 – 20.

Answer:

( X - 2 )(3x + 5)  For 3x^2-x-10

Step-by-step explanation:


Part B
If a company was charged $16.25 to deliver sneakers, what was the distance of the delivery ride?
Show work that supports your answer. (2 points)
Part A: Write the function rule (equation) for describing the total rate y as a
function of the total miles x.*
What is the answer

Answers

Answer:

Step-by-step explanation:

Part A:

y=1.5x+4.25

Part B:

16.25=1.5x+4.25

Minus 4.25 from both sides

12=1.5x

Divide both sides by 1.5 and you will get x=8

Hs math need help on triangle

A 100 , 100 , 160

B 100 , 100 , 100

C 100 , 60 , 20

D 100 , 40 , 40

Answers

Answer:

Option D.

Step-by-step explanation:

It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Let other two angles be x

[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]

[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]

[tex]\\ \tt\Rrightarrow 2x=80[/tex]

[tex]\\ \tt\Rrightarrow x=40[/tex]

Option D is correct

In ΔMNO,
m

M
=
(
6
x
+
1
)

m∠M=(6x+1)

,
m

N
=
(
3
x

10
)

m∠N=(3x−10)

, and
m

O
=
(
x
+
19
)

m∠O=(x+19)

. Find
m

N
.
m∠N.

Answers

Answer:

Step-by-step explanation:

All the angles in a triangle add up to 180°

So you need to add up all your angles and set them equal to 180°

angleM + angleN + angleO=180

(6x+1) + (3x-10) + (x+19)= 180

We don't actually need all these parentheses; this is all just addition and subtraction.

6x+1+3x-10+x+19 =180

Add all the x terms together. Add all the constants (plain numbers) together.

10x + 10 =180

Subtract 10 from both sides

10x =170

Divide by 10.

x = 17

But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10

3*17 - 10 =

51 - 10 =

41

The measure of angle N is 41°


What is the height of the triangle?
17 units
34 units
51 units
68 units

Answers

51 units
Using right triangle formula we will get 51 explanation in the picture

Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.

Help please? :)​

Answers

Answer:

[tex]\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}[/tex]

Step-by-step explanation:

Per = 1

[tex]\frac{1}{4}[/tex]

So, if we were to solve:

[tex]\frac{1}{4}=\frac{5}{6x}[/tex]

[tex]\frac{1}{4}\cdot \:6x=1\cdot \:5[/tex]

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

[tex]\frac{3}{2}x\cdot \:2=5\cdot \:2[/tex]

[tex]3x=10[/tex]

[tex]\frac{3x}{3}=\frac{10}{3}[/tex]

[tex]x=\frac{10}{3}[/tex]

Troy can make [tex]\frac{10}{3}[/tex] dozen of cupcakes.

Solve the inequality

4x - 19 ≥ -27

Answers

The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)

Choose the correct transformation.

Answers

Answer:

A

Step-by-step explanation:

First they flipped it, then they slid it.

Which is an equivalent ratio of yellow cans to blue cans?

10:12

30:25

18:16

5:6

Answers

Answer: 30:25

Step-by-step explanation:

notice how there are 6 yellow and 5 blue

so if we multiply both by 5 then we get

30:25

30:25 because there’s 6 blue cans and 5 yellow cans which means that you do 6x5 and 5x5

6. Line a: y - 3x = 4
Line b: y = 3x + 5
Line c: y - 4x = 3

Which lines are parallel

Answers

Answer:

Line a and b

Step-by-step explanation:

if a = 3y + 4z and b = z - 2y, then what is the value of a + b?

Answers

Answer:

y + 5z

Step-by-step explanation:

Hope this helps!

PLEASEEE HURRY. Please I really need this please

Answers

Answer:

answer is

Step-by-step explanation:

Answer:

final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)

Step-by-step explanation:

Original: ABC, A (2,-1), B (1,4) and C (-2,2)

translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)

reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)

rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)

Simplify (45)-(+14). Pls guys explain it to me

Answers

Answer:

Answer: 31

Step-by-step explanation:

[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]

Answer:

31

Step-by-step explanation:

(45)-(+14)

This is asking us to take 45 [(45)] and subtract 14 [-(+14)]

That is 45 - 14 = 31

The expression "-(+14)" is a deliberate attempt to confuse.  It says "subtract a positive 14."  There was no need to add the "+" sign in the parentheses, since a positive value is always assumed.  But it was added here to promote heartburn and the sale of TUMS.  When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.

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