Let |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. What is |q – r|?

Answers

Answer 1

The value of vector |q-r| = 18

What is Cosine Rule?

The Cosine Rule can be used in any triangle relate all three sides to one angle.

Let OA =|q|

OB = |r|

BA = |q|-|r|

Hence ∠AOB = 45°+(360°-300)

∠AOB = 45°+60°

∠AOB = 105°

Given  |q| = 5,  |r| = 16

Now using cosine rule

|q-r| = √(16)²+(5)²-2×16×5×cos105°

|q-r| = 18

Learn more about Cosine Rule

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Answer 2

Answer:

18

Step-by-step explanation:

edg 2023


Related Questions

determine the number of solutions, y=x+2 and x=-1

Answers

There is only one solution.

y = x+2

x = -1

Substitute x = -1  in y = x+2

y=-1+2

y = 1

We only get the single value of y and x so It's clear that there's only one solution.

What are the coordinates of quadrilateral A’ B’ C’ D’?

Answers

Answer:

RIP Juice WRLD

Step-by-step explanation:

Write a different expression that has the same quotient as (−3)/8 and −(3/8) .
30 POINTS!!!!!!!!!!!!

Answers

Answer: its also -3/4 in standard form -0.75 as a decimal

Step-by-step explanation: i think i knew what u meant

Answer:

3/(-8)

Step-by-step explanation:

(-3)/8 = -(3/8) =3/(-8) = - 0.375

what is the value of p?​

Answers

Answer:

p = 22

Step-by-step explanation:

External angle theorem

External angle = int opp angle + int opp angle 2

5p = 2p + 21 + 45

5p-2p = 66

3p = 66

p = 22

Graph y= 4/5x-7

Can someone help me with this please

Answers

Since the equation is linear, pick 2 points.
(0, -7), (5, -3)
And plot these points then draw a line through them

parallel to the line y
- 2x + 3 through (0,5)

Answers

Answer:

Y = 2x + 5  

Step-by-step explanation:

The perimeter of a rectangular field is 318 yards. If the width of the field is 74 yards, what is its length?

Answers

318/2=159

159-74=85

the length is 85 yards

(7x2 − 3)(8x2 − 7x + 5)

Answers

Answer:

231-77x

Step-by-step explanation:

Mae Ling earns a weekly salary of $375 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?

Answers

Answer:

$697

Step-by-step explanation:

Given that :

Weekly earning = $375 plus 7% commission on sales

Earning if she sold $4600 worth of merchandise

Commision on sales = 7% of 4600

Commission = 0.07 * 4600

Commission on sales = $322

Total earning = $375 + $322

Total earning = $697

true or false?

a. there are 4 terms in the algaebraic
expression
- ( )

b. the algebraic expression can be simplified into X(6y+3)
-( )

c. the value of the algebraic expression when x = -1 and y= 2 is -1
-( )

d. the coefficient of x in the term 4xy is 3
-( )

Answers

Answer:

true, but I'm not sure because i forgot

Answer:

✔ -1 and 1/3

Step-by-step explanation:

i got it right on edge

If angle MNO is a rectangle, and MO = 54 , what is the length of overline NP ? A. 34 B. 22 C. 18 D. 108 E. 27 F. Cannot be determined

Answers

Answer:

Option (E)

Step-by-step explanation:

LMNO is a rectangle.

MO = 54

By the property of a rectangle,

1). Diagonals are equal in length.

2). Diagonals equally bisect each other.

Since, MO = LN

Therefore, LN = 54

Since, NP = [tex]\frac{1}{2}(LN)[/tex]

NP = [tex]\frac{54}{2}[/tex] = 27

Option (E) will be the correct option.

Answer:

E ;27

Step-by-step explanation:

idk how to do this lol please help asap

Answers

Answer:

110

Step-by-step explanation:

Find how much bigger one triangle is than the other: 22 ÷ 2 = 11Apply our above knowledge to the missing side: 10 × 11 = 110

I hope this helps!

Deni made $100 yesterday at work. His boss gave him $20 for showing up, and Deni makes $10 for every hour he works. How many hours did Deni work?
HOW DO I SHOW MY WORK

Answers

Answer:

write it out

Step-by-step explanation:

if he got 20 for showing up, you subtract to from the total right away, so now you have 80 total, and at a rate of 10/hr, he must have worked 8hrs. (80/10)

Answer:

Deni worked 8 hours yesterday

Step-by-step explanation:

I really need help right now

Answers

Answer:

can you post a better quality pic in the comments>? i cant read it enough

Step-by-step explanation:

does 9, 16, 5 make a right triangle? Explain

Answers

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side.

It does not make a right triangle. 9^2 + 5^2 = 106 while 16^2 = 256. So it is not same.

Thank you and please rate me as brainliest as it will help me to level up

No please mark as brainlist and follow me

The equation for line 1 is

Answers

Answer:

y=1x-5

Step-by-step explanation:

Answer:

The equation for line one is y = -2x - 5

Ralph and Liza are both driving from Los Angeles to Santa Fe. Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way. Liza leaves at 7:25 and averages 65 mph on the way. The situation is modeled by this system,
where x is the number of hours after Liza leaves and y is the distance each
will travel:

y = 60x + 25
y = 65x

How long after Liza leaves will she pass Ralph, and how far will they each
have traveled?

A. Liza will pass Ralph after 4 hours, and they each will have traveled
260 miles.

B. Liza will pass Ralph after 3 hours, and they each will have traveled
205 miles.

C. Liza will not pass Ralph, because she will never catch up with him.

D. Liza will pass Ralph after 5 hours, and they each will have traveled
325 miles.

Answers

Answer:

I'm pretty sure its D

Step-by-step explanation:

Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles. Then the correct option is D.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Ralph and Liza are both driving from Los Angeles to Santa Fe.

Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way.

Liza leaves at 7:25 and averages 65 mph on the way.

The situation is modeled by this system will travel:

y = 60x + 25

y = 65x

where x is the number of hours after Liza leaves and y is the distance each

The time after Liza leaves will she pass Ralph will be

65x = 60x + 25

 5x = 25

   x = 5 hours

Then the distance covered by both after 5 hours will be

y = 65 (5)

y = 325 miles

More about the linear system link is given below.

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I NEED HELP first awnser gets brainliest

Answers

I believe it a not sure but seems more reasonable

A. Y=6x+12
B. Y= 8x+15
C.y=6x+6
D.y=8x+8

Answers

Answer:

y=6x+6 will be the answer

Hi guys i need help with this problem y=mx+b

Answers

y = how far up

x = how far along

m = Slope or Gradient (how steep the line is)

b = value of y when x=0

How do you find "m" and "b"?

b is easy: just see where the line crosses the Y axis.
m (the Slope) needs some calculation:
m = Change in Y/change in X

Larry mows lawns for $50 an hour. Last week, he gave all his customers a 20% discount off his hourly rate. Mrs. Grinnell hired Larry last week to mow her lawn, and Larry applied a 10% new customer discount to his already discounted rate. If Larry worked on Mrs. Grinnell's lawn for 3 hours, how much does Mrs. Grinnell owe Larry?

Answers

Answer:

If Larry worked on Mrs. Grinnell's lawn for 3 hours, Mrs. Grinnell would owe Larry $108.

Step-by-step explanation:

You have to find the total amount Larry would receive with $50 an hour:

$50*3=$150

Now, you have to calculate the amount with a 20% discount by calculating the 20% of $150 and subtracting that amount from $150:

$150*20%=$30

$150-$30=$120

Then, you have to calculate the 10% of $120 and subtract that amount from $120:

$120*10%=$12

$120-$12=$108

According to this, the answer is that if Larry worked on Mrs. Grinnell's lawn for 3 hours, Mrs. Grinnell would owe Larry $108.

The tens digit of a two digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 less than the number itself. Find the number.

Answers

Answer:

94

Step-by-step explanation:

Let the unit's digit = [tex]y[/tex]

Let the ten's digit = [tex]x[/tex]

Then the number will be equal to [tex]10x+y[/tex]

Now, using the given statement:

[tex]x=y+5 ..... (1)[/tex]

[tex]7(x+y) = 10x+y-3\\\Rightarrow 7x+7y=10x+y-3\\\Rightarrow 6y-3x=-3 ..... (2)[/tex]

Now, using the equation (1) in equation (2):

[tex]6y-3(y+5) =-3\\\Rightarrow 3y-12=0\\\Rightarrow y =4[/tex]

By equation (1):

[tex]x = 4+5 \\\Rightarrow x =9[/tex]

Therefore, the number is :

[tex]10x+y= 10\times 9 +4 = \bold{94}[/tex]

(07.07 LC)
Solve 3
5
6
6
6
30
7르
2
300
6
07.
11
7
2
9
30

Answers

Answer:

56

Step-by-step explanation:

Select the correct solution set.

50 ≥ 15x

{x | x ≤ 10/3}
{x | x ≥ 10/3}
{x | x > 10/3}

Answers

2nd option I’m pretty sure but it’s been awhile since I took this math

A circle is represented by the equation x²+y²−8y−20=0. What is the diameter of the circle?

Answers

Answer:

center:(0,4) radius:6

Step-by-step explanation:

what is central tendency?

Answers

Answer:

the tendency for the values of a random variable to cluster round its mean, mode, or median.

In statistics, a central tendency is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages

Y0UR M0MWY 100KS L1KE TH1$

Answers

Answer:

NICE!!!

Step-by-step explanation:

need help with 7 and 8 please

Answers

Step-by-step explanation:

7.D -2,-1,0,1,2,3,4

8.C

Which number should the....

Answers

the answer should be 3 :)

PLEASE HELP PLEASEE!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

B.) 17

Step-by-step explanation:

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