Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?

A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°

Answers

Answer 1

Answer:

D is correct

Step-by-step explanation:

I got it right on my edge math unit test review.

Answer 2

The value of |c| = 9√2 and θ = 225⁰

What is Magnitude?

The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.

Here, given values;

a = (-7, 3)  and b = (-2, -12)

Now, c = a + b

        c = (-7, 3) + (-2, -12)

        c = (-9, -9)

Now, |c| = √(9²+9²)

         |c| = 9√2

Now, tan θ = |y/x|

        tan θ = |-9/-9|

       tan θ = 1

       tan θ = tan 225⁰

         θ = 225⁰

Thus, the value of |c| = 9√2 and θ = 225⁰

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Related Questions

not sure need help ​

Answers

Answer:

x = 33

Step-by-step explanation:

2x + 1 + 4x - 19 = 180

you set to 180 assuming that that is a line and lines are = to 180 degrees

then solve for x

6x = 198

x = 33

Which fraction and decimal forms match the long division problem? ​

Answers

Answer:

0.44444444

Step-by-step explanation:

Answer: 4/9 and 0.4 repeating

Step-by-step explanation:

PLEASE HELP MEEE I CANT DII

Answers

Answer:

12 pieces of sausage can be cut from the 8 inch sausage if each piece is 2/3 of an inch.

Step-by-step explanation:

2/3 = 0.66

8 x 0.66 = 12.12

Round down to 12.

I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!

12 pieces each of 2/3 inches can be cut.

hope it helps :)

What is the solution to this equation
30.16 = 17.56 + 5x

Answers

Answer:

x=2.52

Step-by-step explanation:

Answer:

x=2.508

Step-by-step explanation:

30.16 = 17.56 + 5x

30.1-17.56=5x

12.54=5x

x=2.508

Hope I helped!

Given h(x) = 2x+3, find x when h(x) = 13.
a) 8
b) 29
c) 18
d) 5

Answers

D. 5 because you subtract 3 from 13 to get 10 then divide by 2.
The answer is d)5
..............

In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)

Answers

Answer:

$21.2

Step-by-step explanation:

3.30*5+4.70*1=21.2

Can someone help me with A

Answers

Answer:

2^52

Step-by-step explanation:

Assuming that we have to just figure out another way of writing it, we can use one of the laws of exponents which is powers of powers so we multiply 13 and 4 and we get 2^52.  

2^52 is such a big number I'm not even going to solve it because I doubt that's what they want from you.

helppp plsss i need help so i can go play bloxburg

Answers

Answer:

Answer is C,  1/2 pound.

Step-by-step explanation:

If you take 2 1/2 divided by 5 you get 0.5 and 0.5 as a fraction is 1/2

Stay safe! Hope this helps!

Where does the 6π belong in the Veen diagram?

Answers

Answer:

D

Step-by-step explanation:

It is irrational because you cant write it as a fraction

PLEASE HELP!

32 = w – 4
1) What is the coefficient?
2) What is the constant?
3) What is the result?
4) What is the variable?

Write a brief paragraph how you would solve the
equation.

Answers

Step-by-step explanation:

coefficient=w

variable=w

result=

32=w-4

w=4+32

w=36

constant=32,4


--
What is the equation of g in terms of f?

Answers

Answer:

g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].

Step-by-step explanation:

I'm not to sure but I hope this helps

Four members from a 12 ​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?

Answers

Answer:

11880 ways

Step-by-step explanation:

We can solve this problem in two ways. I'm going to show you how to do both.

We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.

From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.

Such that

12 x11 x10x 9= 11880

These are the total different leadership structures possible.

Another way to solve this is by permutation method.

nPr

12!/(12-4)!

= 12!/8!

= 11880 ways

shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?

Answers

Answer:

Sasha stopped working at 12:10 PM

Step-by-step Explanation

8:30 + 3 hours and 40 minutes = 12:10 PM

Mark as brainliest if it's right!

Answer:

12:10 p.m

Step-by-step explanation:

3 hours from 8:30 is 11:30 a.m.

Now we add 30 minutes to 11:30 and you get 12:00

Add the remaining 10 minutes and you get 12:10 p.m

I hope this helped, please mark Brainliest, thank you!

x= ????? please help

Answers

X= 122
Iwoaheiwohdbeoso

Answer:

x = 122°

Step-by-step explanation:

Alternate interior angles

the cement truck can pour 20 pounds of cement I 45 seconds how long will it take the cement truck to pour 150 pounds of cement

Answers

337.5 seconds for 150 pounds of cement to be poured

what is x

4 x 3x = 48

Answers

x is equal to 4. hope this helps

Answer:

x=4

Step-by-step explanation:

4 x (3x4)=48

you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4

Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)

Answers

Alright so answer is y=3x+14

Since you need to find a PARALLEL line to y=3x-2, you already know that the incline is 3x because otherwise the two lines would intersect somewhere.

So for your new equation you now have y=3x+b, so you only need to find b. To do so you’ll need to replace all other variables by numbers with the point that is given and then isolate b.

You can do so with the point that is given to you (-4, 2). You replace y by 2 since the point is (x,y) and replace x by -4.

You now have
2=3(-4)+b
2=-12+b
2+12=b
14=b

You now have your equation: y=3x+14

I need answers for both! plz help
Lealani has 24 scoops of high-fiber chimp food.

a. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to baby chimps? Recall that baby chimps need 40% high-fiber food and 60% high-protein food.

b. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to adult chimps? Recall that adult chimps need 60% high-fiber food and 40% high-protein food.​

Answers

Answer: a = 14.4 scoops; b = 9.6 scoops

Step-by-step explanation:

a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.

b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.

Hope this helps! :) Sorry if I made a mistake

Rectangle A and rectangle B are similar.
Rectangle A has a length of 6.2 centimeters
and a width of 5.6 centimeters. Rectangle B
has a length of 21.7 centimeters. What is the
perimeter of rectangle B?

Answers

Answer:

82.6 cm

Step-by-step explanation:

First, we make a proportion:

6.2(length A) / 5.6(width A) = 21.7(length B) / x(width B)

Cross multiply: 6.2 * x =( 21.7) * (5.6)

Divide both sides by 6.2: x = 19.6

So the width of rectangle B is 19.6. Now lets find the perimeter

19.6 + 19.6 + 21.7 + 21.7 = 82.6 cm

I hope this helped, please mark Brainliest, thank you!

10 points ! please help
Find the percent the first number is of the second:
c
5 ft, 37.5 ft

Answers

Answer:

13 1/3%

Step-by-step explanation:

37.5/5=7.5

100/7.5=13.33333

13.333333= 13 1/3

Answer: 13 1/3%

13.33% is the percent the first number is of the second number.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We need to find the percent of the first number is of the second.

The first number is 5 feet and the second number is 37.5 feet.

We want what percent 5 feet is of 37.5 feet,

To find this we need to divide 5 feet/37.5 feet

We get 0.1333333 feet.

Now we have to multiply 0.1333333  by 100 as it is a hundredth part.

0.1333333 × 100 = 13.33333%

We can test that by doing 13.33333% of 37.5 (or .1333333 x 37.5) and we get 5 feet.

Hence, 13.33% is the percent the first number is of the second number.

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In one 24-hour day there are 86,400 seconds. What is this number written in scientific notation?

Answers

The answer would be

8.64 x 10^4

What's the score? Jermaine has entered a bowling tournament. To prepare, he bowls five games each day and writes down the score of each game, along with the mean of five scores. He is looking at the scores from one day last week and finds that one of the numbers has accidentally been erased. The four remaining scores are , , , and . The mean score of the five games is . What is the missing score? The missing score is .

Answers

Yo ding dong, i need the other numbers

Answer:

What are the four remaining scores? You only put commas

I need help with this problem​

Answers

Lin and Lin hope this helpssssss

Please answer this without making mistakes

Answers

Answer:

1 pound = 16 ounces

2 pounds = 32 ounces

Given:

Cost for 2 pounds of bananas = $1.28

Price per ounce = 1.28/32    [∵2 pounds = 32 ounces]

=$0.04

Hence the cost of bananas per ounce is $0.04

Hope it helped!

What is the difference in length between 1 1/4 inch button and 3/8 inch button

Answers

The 1 and 1/4 button becomes 5/4 and then 10/8 which is 7/8 bigger than the 3/8 button. Hope that can help

i need help in stw with twine peaks ssd's tell me ur epic and so u can help me

Answers

Answer:

wpic

Step-by-step explanation:

Express 600 as a percentage of 125​

Answers

Answer:

480%

Step-by-step explanation:

600/125*100=480

2. The cost of any soda from a soda machine is $0.50. The graph representing this relationship is shown below.
Soda Machine
Total Cost
Nuniber de sodai
What is the slope of the line that models this relationship?
OA 2
OB.
Ос.
-
OD-2
M

Answers

Answer:

B.

Step-by-Step explanation:

it is increasing by 1/2

4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Create a table of equivalent ratios. Find at least one ratio where one of the quan
a fraction or decimal.
Lemons
Cups of water
a.
b.
c.
d.
e.

Answers

Answer:

PLZ MARK BRAINLIEST!

The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan

a fraction or decimal."

Step-by-step explanation:

LEMONS .         CUPS

3              :               2 .  3/2

6            :                 4 .  6/4

9              :               6     9/6

12           :                 8 .    12/8

15        :                   10 .    15/10

The sixth-grade class is going to the local art museum. There are 46 students in the class. The total cost of the tickets for all the students is $379.50. What is the cost of one student ticket?

Answers

8.25 is the cost of one student ticket.

Each ticket cost $8.25

Step-by-step explanation:

Divide 379.50 by 46 to get 8.25

379.50/36=8.25

Double check

8.26 x 46 = 379.50

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