PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.


7.3; 73°

7.3; 74°

7.4; 73°

7.4; 74

Answers

Answer 1

Answer:

It's 7.3; 74!

Step-by-step explanation:

This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...

Answer 2

Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].

Here, [tex]v=<2,7>[/tex].

Then, magnitude is:

[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]

The direction is:

[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].

So, the correct option is 7.3,74°.

For more information:

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Related Questions

Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3

Answers

Answer:

[tex]\frac{4}{4} ,\frac{5}{5}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

[tex]\frac{2}{2} =1[/tex]

[tex]\frac{3}{3}=1[/tex]

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

[tex]\frac{5}{5} =1[/tex]

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?

Answers

38,000 - 20,000 = 18,000

3% of 18,000 is
0.03 * 18,000 = $540

One bike has 2 wheels.

Which shows how many wheels (y) 4 bikes have?
A. Y=2+4
B. Y=2 x 4
C. Y= 2-4

Answers

The answer I got is “B”

Determine the slope and the y-intercept Y=2x-3

Answers

Answer: The slope is 2 and the y-intercept is -3.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

In slope-intercept form the slope is always the number right in front of the X

I need help with geometry

Answers

Answer:

Rhombus and angle 1 = 35

Step-by-step explanation:

The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.

It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.

I hope this helps! :)

I urgently need help!!!!!!

Answers

Answer:

Step-by-step explanation:

e

Answer:

Angle KMN is 79°

Hope this helps.

Jonathan is in a class of 15 boys and 35 girls.40%of the students in the class take the bus to school how many students do not take the bus to school ?

Answers

40% of 40
10% of 40 is 4
4 x 4=16
40-16 =24
Answer is 24
15 + 35 to find the total of students in the class which is 50.
100 / 40 = 2.5, so divide 50 by 2.5 and you get 20

Answer is 20

Solve for all values of c in simplest form.
|C – 21 |= 12

Answers

Answer:

33, 9

Step-by-step explanation:

I33-21I=12

I9-21I=

I-12I=12

Every SUM of an absolute value will always be positive!!

Speedy Cav Company uses the following to determine ride costs:

A $5.00 flat fee for a ride.

An additional $0.75 for each mile traveled.

Which equation represents the cost of a car ride from Speedy Cab Company?

A. t = 5x + 0.75

B. t = 0.75 + 5

C. t = 0.75x + 5

D. t = 5x - 0.75​

Answers

The correct answer is C.
The answer is 0.75x +5

A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?

Answers

Answer:

5.7 million

Step-by-step explanation:

Let the number of users be x

x + 33% of x = 7.5 million

x + 0.33x = 7.5 million

1.33x = 7.5

x = 7.5/1.33

x = 5.7 million

Please hurry need done fast!

Answers

Answer: table 1 is proportional y is 8 times x, and table 2 is not proportional

Step-by-step explanation:

5*8= 40 6*8= 48 7*8=56 so it’s8

5*1= 5 7*1 does not equal 21

You scored 80 points on your first math test. On the next test you scored 96 points. What is the percent increase?

Answers

Answer:

20%

Step-by-step explanation:

96-80/80 *100

16/80*100

1/5*100 =20

Rewrite with positive exponents: 7^-3

Answers

Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

Solve without using a calculator:

sin²20° + sec²20°

Answers

Step-by-step explanation:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

sec

(

20

°

)

in terms of sines and cosines.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Apply the product rule to

1

cos

(

20

°

)

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

One to any power is one.

sin

2

(

20

°

)

+

1

cos

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

1

as

1

2

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

Rewrite

1

2

cos

2

(

20

°

)

as

(

1

cos

(

20

°

)

)

2

.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Convert from

1

cos

(

20

°

)

to

sec

(

20

°

)

.

sin

2

(

20

°

)

+

sec

2

(

20

°

)

The result can be shown in multiple forms.

Exact Form:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Decimal Form:

1.24945210


Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?

Answers

20 meals is the correct answer5 ÷ ¼ = 20Please let me know if I am wrong.

Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach

Answers

Answer:  c

Step-by-step explanation:

-hx + 4 = 2x- 1 solve this equation for x.

Answers

Answer:

x=-5/(-h-2)

Step-by-step explanation:

-hx+4=2x-1

-hx=2x-5

-hx-2x=-5

x(-h-2)=-5

x=-5/(-h-2)

Let me know if this helps!

The equation; -hx + 4 = 2x- 1 when solved for x is; x = 5/(2 +h)

Change of subject of formula

The given equation is;

-hx + 4 = 2x- 1

By collecting like terms; we have;

2x + hx = 4 + 1

x(2 +h) = 5

x = 5/(2+h)

Read more on change of subject;

https://brainly.com/question/739085

find the 75th term of the following arithmetic sequence 3, 7,11,15,...

Answers

Answer:

19

Step-by-step explanation:

Does y=10 true or false??

Answers

Answer:

i think no it doesnt so false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Solve 2(x - 5) = 3(x + 7)

Answers

Answer:

x = -31

Step-by-step explanation:

2(x-5) = 3(x+7)       1. Use distributive property

2x - 10 = 3x + 21     2.  Add 10 on both sides

2x = 3x + 31            3. Subtract 3x on both sides

-x = 31                       4. Divide by -1

x = -31

What is a and b pls answer ASAP I need it !!! Plsss

Answers

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

(6, 10)(a, 8)(4, b)(2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

I need help please, I am weird. I know​

Answers

Answer: -10x+9

Step-by-step explanation:

1. Remove parantheses:

-2x+10-8x-1

2. Simpify: -2x-8x+10-1 => -10x+9

Have a nice day! :D

First remove parentheses , so you would have -2x+10 -8x-1 , combine like terms , -10x +10-1 , then subtract the numbers . Your solution is -10x+9 .

A shoe store uses a 50​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$59​?

Answers

Answer:

          $88.5

Step-by-step explanation:

[tex]59+50\%\times59=59+0.5\times59=59+29.5=88.5[/tex]

when solving a linear system by substitution, how do you decide which variable to solve first?

Answers

Answer: whichever one is easiest to get by itself.

Step-by-step explanation:

3
Find the slope and y-intercept from the following graph of a linear equation.

Answers

Answer:

A. Slope = 4 and y-intercept  = 3

3.1= -5.9+x, x=?
what does this answer to

Answers

Answer:

6-2=3

Step-by-step explanation:

5234.9

Answer:

x = 9

Step-by-step explanation:

3.1= -5.9+x

x - 5.9 = 3.1

x - 5.9 + 5.9 = 3.1 + 5.9

x = 9

What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x

O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)

Answers

Answer:

A. 4x^2(c+3)

Step-by-step explanation:

For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5

Answers

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

urgent I need help pls ​

Answers

11

Explanation:
Graphing calculator

11+19+12+245+1245+23567=

Answers

wow it’s 25099 just use your calculator lol
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