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

A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.

Answers

The radius of the table top, rounded to 1 dp is 5.6 cm

From the question,

We are to determine the radius of the table top

First, we will determine the volume of the cylindrical wooden table

From the given information

Density = 0.42 g/cm³

Mass = 0.25 kg = 250 g

Using the formula

[tex]Volume = \frac{Mass}{Density}[/tex]

∴ [tex]Volume = \frac{250}{0.42}[/tex]

Volume = 595.238 cm³

Now, for the radius of the table top

Using the formula for volume of a cylinder

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height or depth

From the given information

h = 6cm

Putting the parameters into the formula

[tex]595.238 = \pi r^{2} \times 6[/tex]

∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]

[tex]r^{2} =31.57835667[/tex]

[tex]r =\sqrt{31.57835667}[/tex]

r = 5.6 cm

Hence, the radius of the table top, rounded to 1 dp is 5.6 cm

Learn more here: https://brainly.com/question/11178104

what will be the total surface area of a cylinder if

h = 22cm
and
r = 3cm
TSA = ?

Please give me the answer plssss??

Answers

Answer:

total surface area of a cylinder is 471 cm²

The recipe for 4 people says I need 300g of sugar. I am making for 10 people. How much sugar do I need in g?​

Answers

Answer:

750g

Step-by-step explanation:

300 divided by 4, for amount of sugar per person

you'll get 75

then multiply 75 by 10 for 10 people

you get 750g

PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!​

Answers

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Help a girl out pls!!!

Answers

Answer: AA Similarity

Step-by-step explanation:

Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.

if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels

Answers

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?

Answers

Answer:

15 or 15.546

Step-by-step explanation:

you add all the numbers then divide by 54

Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

Note that 54 minutes = 0.9 hour.

The speed will be:

= (0.5 + 15 + 2.5) / 0.9

= 18/0.9

= 20 miles per hour.

Learn more about speed on:

https://brainly.com/question/4931057

Rewrite this problem combining like terms!!
2 m − 3 m + 4

Answers

i believe the answer is 4-m! hopefully it’s right, sorry if it’s not!

Reflect parallelogram EFGH with E(-4,5), F(3,6), G(2,3) and H(-5,2) in the x-axis. what are the coordinates of F?

Answers

The answer should be (3,-6)

what number set does -7 belong to

Answers

Answer:

Integers

Step-by-step explanation:

Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.

I need help anyone please help.

Answers

Answer:

1/4 or 1/2 good luck my  guy

Step-by-step explanation:

someone please explain this

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)

A=1

B=2

C=1

D=-16

Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width

Answers

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

I forgot how to do this lol

Answers

The equation of the line has the form: y = ax+b parallel to the line y = -2x + 7
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9

A car is 200 inches long the truck is 50% longer than the car how long is the truck

Answers

Answer:

300

Step-by-step explanation:

This question is pretty simple.

First, we just have to find 50% of 200.

So 50% is also 1/2.

1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.

So 50% longer is 100 and 100+200(the length of the car) is 300.

The answer.

pls help meeeeeeeeeee

Answers

Step-by-step explanation:

VW to WY have the ratio 3/2.

VX to XZ must have the same ratio.

and VX > VW.

so,

30 and 20 is possible, as 30/20 = 3/2.

3 and 2 is not possible, because 6 > 3.

27 and 18 is possible, as 27/18 = 3/2.

13.2 and 8.8 is possible, 13.2/8.8 = 3/2.

8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.

8.7/3 = 2.9

but 2.9×2 = 5.8 and not 5.7.

5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?

Answers

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

Find out more on proportions at https://brainly.com/question/11570843.

What is the equation of the line in standard form?​

Answers

(2,2)

Step-by-step explanation:

You have to add them together and minus the negatives

Can you explain how you got the answe

Answers

Answer:

3

Step-by-step explanation:

she put 4 stickers on each car

What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.

Answers

It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)

Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.

Answers

Answer:

triangle JKL

Step-by-step explanation:

This is because the lengths of each side JKL is a factor to ABC

respectively .

AB=12,JK=36

AC=13,JL=39

BC=5,KL=25

I hope you understand

The temperature at 7:00 a.m, was 12 C, and by 7:00 p.m, it had dropped
to -10°C. Which expression represents the change in temperature:

(A 12 + (-10)

(B 12 - 10

(C -10 + 12

(D -10 - 12

Answers

Answer:  D    -10 - 12

Step-by-step explanation:

Temperature change is (Final T) - (Initial T)

(Final T) = -10C

(Initial T) =  12

(Final T) - (Initial T) = -10C - 12C

Temp Change - 22C

hidffhhhhhhhhhhhhhhhhhhhhhhhhhd

Answers

Yes that is the right thing

Write an inequality to compare the ratios 2/4 and 5/6.

Answers

Answer:

5/6>2/4

Step-by-step explanation:

5/6 is greater than 2/4


3
x
+
y
=
−3x+y=



3
−3

6
x
+
2
y
=
−6x+2y=



3
−3

Answers

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

Help me please

H please

Answers

Answer:

pi

Step-by-step explanation:

A bookstore sells 2 books for $22.50 which table represents the relationship between number of books and the total price

Answers

Answer:

Can you show what are the tables?-

plz help ppl keep putting links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Don’t answer just for points please~ I need help and I’m struggling lol

Answers

Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

5x = 2x + 45

3x = 45

x = 15

y equals angle 2

180 = 5(15) + 55 + y

180 = 75 + 55 + y

180 = 130 + y

50 = y

angle is 50

Answer:m∠2 = 50°Step-by-step explanation:

We know that:

=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15

Since we have found x, it is time to find m∠2.

=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:

Therefore, the measure of m∠2 is 50°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

PLEASE HELP QUESTION IN PIC.

Answers

Answer:

Perimeter= 40

Area= 120.7

Step-by-step explanation:

Other Questions
What are some characteristics of Sumerian religion and society?!will give Brainliest if i get more then 80%!asap pls:) Have a Good Day!! The boiling points of five liquids have been measured 10 times each by a team of scientists, with fairly consistent results. Which next step would be the most logical? 1. Test a sixth liquid to see if it follows patterns in the rest of the data.2. Use a new thermometer to make sure that the original one was not faulty.3. Continue collecting data until exact boiling points can be found. 4. Test the results an eleventh time, and average the new trial into the data. Why was shipbuilding important to the Romans' international trade?1. The fastest way to move goods between Italy and Asia or Africa was by ship.2. Italy was covered with forests, which provided the lumber needed to build ships.3. Romans could build ships faster and better than their neighbors.4. A major part of Rome's economy was the selling of ships to foreign merchants. According to the chart you read on Catholicism, Lutheranism, and Calvinism, what is the biggest difference on how belief isrevealedin the catholic church, the priest interprets the bible and church teaching for the peoplepeople are left to interpret the bible themselvessalvation is achieved through faiththe bile alone is the source of truth 9. P waves move faster than S waves A. True B. False 1. All the computer has a power button. CARD #2:Bobby says thedilation can berepresented by(x, y).A figure on acoordinate plane isdilated. Point A(3,9)is dilated to A'l, 3).Betty says thedilation can berepresented by(3x, 3y). TRUE atau FALSE: Singapura mempelopori balapan malam F1 pertama Please help!Having lots of trouble with math :) Triangle P is rotated 180 about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R. GIVING BRAINLEST!What is the location of this point?y-axisx-axis5 3. What is a metaphor?A. giving human traits to animals, nonhuman beings, or inanimate objectsB. a comparison between two unlike things that is impliedC. a comparison between two unlike things using the words like or as What causes an echo? refraction rarefaction reflectionplease help please help me and solve it tu demandes ta mre de faire une galette Solve x/2 - 8 = y for x the stock market crash of 1920 left my grandfather ------- (penny) which statement best describes how enzymes function in the body? A woman skis from rest down a hill 20 m high. If friction is negligible, what is her speed at the bottom of the slope? Select one: O a. 20 m/s O b. 12 m/s O c. 400 m/s O d. 6 m/s Please help! (Only answer if correct)