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

16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories

Answers

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.

HELP ME PLZZZZZZZZZZ I WILL GIVE MORE POINTS AT THE END

Answers

Answer: the answer is u [tex]\geq[/tex] 2

The midpoint of the segment joining (0,0) and (16, 16) is 8.
True or false?

Answers

Answer:

True

Step-by-step explanation:

If you look on a graph you can see that the midpoint of the segment is 8.

Hope this is right and helps!

A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?

Answers

Answer:

320 calories

Step-by-step explanation:

Small order of fries at Wendy’s = x calories

Small order of fries at McDonald’s = y calories

x = y + 90x + y = 550

Substitute x in the second equation

y + 90 + y = 5502y = 550 - 902y = 460y = 230

Then, x is:

x = 230 + 90 = 320 calories

Which algebraic expression is equivalent to the expression below?

(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1

Answers

The answer is D hope this helps

Answer:

D

Step-by-step explanation:

(16x +1) -5x

you basically subtract the -5x from 16x

11x +1

A person can burn
8 Calories per minute of running.
Determine whether the number of
Calories is proportional to the number
of minutes

Answers

Answer:

absolutely

Step-by-step explanation:

if you run for one min., you burn 8 calories right?

so if you run for example 10 mins., you would burn 80 calories

80>8

so yes

1 ball of wool is 125m, how many balls are there with 604m??

Answers

Answer:

4.8 balls of wool

Step-by-step explanation:

604÷125=4.8

Calculate 21+23+25...+81

Answers

Answer:

150

Step-by-step explanation:

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168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.

Answers

Answer:

33.6

Step-by-step explanation:

Find the simple interest earned after 5 years on $800 at an interest rate of 9

Answers

Answer: It would be $1160

1+1 explain in ironically amazing detail!​

Answers

Okay, in my opinion, 1+1 = 11

Because if you just remove the addition sign, you get 11!

It’s very simple and easy

However, 1+1 may equal 22 as some add the two ones together to get 2, and 2!

Ik I’m a jeenyus, you don’t need to remind me

Loll
1 plus 1 equals 2. Duh.

Help please I don’t get

Answers

Answer:

answer: 5^36

Step-by-step explanation:

(5^9)^4

5^9x4

5^36

answer: 5^36

alternative form 1.45519x 10^25

Answer:

is 5^36

Exact Form:

14551915228366900000000000

Decimal Form:

1.45519152⋅10^[tex]{25}[/tex]

I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.​

Answers

Answer:

4

Step-by-step explanation:

64 divided by 16 is 4.

To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.

what is the x intercept of the line

Answers

Answer:

Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)

A line with a slope of 1 passes through the point (7, 9). What is its equation in
slope-intercept form?

Answers

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)

Answers

Answer:

y - 8 = 1/3 (x + 2)

Step-by-step explanation:

The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).

Hope this helps!

The equation of the line will be written as to y - 8 = 1/3 (x + 2).

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

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For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:

Answers

Answer:

6

Step-by-step explanation:

the answer would be 6.

Please help it’s due

Answers

5 = 60

6 = 150

7 = 30

if you have any more questions let me know

A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he build?


a 3

b 5

c 30

d 35

Answers

It’s either A.3 or C.30

HELPPPP PLEASEEE ASAPPPPP

Answers

Answer:

Step-by-step explanation:

PQRS

PQ + QR + RS + PS = 186

RS = SP - 7

PQ = RS = x - 7

QR =  PS = x

2x + 2(x - 7) = 186

4x = 200

x = 50

PQ and RS = 43

QR and SP are 50

the answer is 43 & 50 ^^

Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. a. Calculate a 95% two-sided confidence interval on the death rate from lung cancer. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

a. The 95% confidence interval is 0.799<p<0.847

b. The sample size n is 622

Step-by-step explanation:

A

P^ = 823/1000

= 0.823

At 95% confidence interval

P^ +- z-alpha/2√p^(1-p^)/n

z-alpha/2 = 1.96

When we insert values we get:

0.823+-1.96√0.823(1-0.823)/1000

= 0.823+-1.96√0.000145671

= 0.823+-1.96(0.012069)

= (0.8467, 0.7993)

The 95% confidence interval is 0.799<p<0.847

B.

We are to compute the sample size here.

The formula and full calculation has been done in the attachment.

4268.4x0.145671

= 621.78

= 622

n = 622

Which is a way to break up the irregular figure into shapes that you have area formulas for?
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into a triangle and a rectangle.
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into 2 trapezoids.

Answers

Answer:

1 parallelogram and 1 rectangle

Step-by-step explanation:

its right ;) edge 2022

Answer:

D.

Step-by-step explanation:

Hope this helps you <3

which graph represents the function h(x)=2sin(x+pi/2)-1 ?

Answers

This graph represents the function h(x)=2sin(x+π/2)-1.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

This graph represents the function h(x)=2sin(x+π/2)-1.

The range is the set of values that correspond with the domain.

Domain of graph: (−∞,∞),{x|x∈R}

Range of graph: [−3,1],{y|−3≤y≤1}

Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 2

Period: 2π

Phase Shift: −π/2 (π/2 to the left)

Vertical Shift: −1

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Find the slope of the line through the points (2, -2) and (8, -2)

Answers

Answer:

0

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/(x2-x1)  where ( x1,y1) and ( x2,y2) are points on the line

m = ( -2 - -2)/(8 - 2)

    = ( -2 +2) / ( 8-2)

    = 0/6

   =0

The slope is 0

How many feet are there in 3 meters?
Hint: 1 m 3.3 ft
Round your answer to the nearest tenth.

Answers

Answer:

9.8

Step-by-step explanation:

Answer:

9.9

Step-by-step explanation:

What division problem can be represented using the number line?

A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.

Answers

Answer:its b

Step-by-step explanation:

edge 2020

Answer:its b

Step-by-step explanation:

3n = –8 + 4n
with work shown

Answers

Answer:

n=8

Step-by-step explanation:

3n=−8+4n

Simplify both sides of the equation.

3n=4n−8   (there isn't so It stays the same.

Subtract 4n from both sides.

3n−4n=4n−8−4n

−n=−8

Divide both sides by -1.

−n/-1 =−8/-1

Answer:

n=8

Multiple choice A,B,C,D

Answers

Answer:

The Answer is A

Step-by-step explanation:

rewrite 8x8x8 using an exponent

Answers

8(3) the 3 is the exponent

The exponential form of the given number 8x8x8 is 8³.

What is exponential form?

The exponential form is a way of writing numbers using bases and powers. It tells us how many times are we actually multiplying a number to get the result.

Given is a number, 8x8x8,

As we know,

a×a×a××a×a×a×a×a×a...... n times = aⁿ

The number 8 is multiplied by itself 3 times, so, it will have a power of 3,

Therefore, 8x8x8 = 8³

Hence, the exponential form of the given number 8x8x8 is 8³.

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A grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon?
O A. twelve lemons for $2.37
O B. three lemons for $0.65
O C. six lemons for $1.20
OD two lemons for $0.35
Plz help for 20 points

Answers

Answer:

.79/4= .197. Or 20 cents each

The cost per unit of lemon in Option A is same as given per unit cost of lemon in grocery store that is $0.1975

What is cost per unit?

Cost of per unit  is cost of one unit. Cost per unit can be calculated simply by dividing the total cost of all items by the quantity of given item.

Given Cost of 4 lemons  in a grocery store = $ 0.79

Cost of 1 lemon in the grocery store = total cost / 4  = $ 0.79÷ 4 = $0.1975

To check pricing option for same pricing check per unit price of each option.

A.  Given twelve lemons for $2.37

    Given Cost of 12 lemons = $ 2.37

    Cost of 1 lemon = total cost / 12  = $ 2.37 ÷ 12  = $0.1975

B. Given three lemons for $0.65

    Given Cost of 3 lemons = $ 0.65

    Cost of 1 lemon = total cost / 3  = $ 0.65 ÷ 3 = $0.2167

C. Given six lemons for $1.20

    Given Cost of 6 lemons = $1.20

  Cost of 1 lemon = total cost / 6  = $ 1.20 ÷ 6 = $0.2

D. Given  two lemons for $0.35

    Given Cost of 2 lemons = $0.35

  Cost of 1 lemon = total cost / 2  = $ 0.35 ÷ 2 = $0.175

Therefore , option A has same per unit cost $0.1975  as given pricing of the grocery store.

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