Mathematics College

let Q equal five at an angle of 45° in our equals 16 at an angle of 300° what is vector Q minus R

Answers

Answer 1

Answer:

D. 18.0

Step-by-step explanation:

edge

Let Q Equal Five At An Angle Of 45 In Our Equals 16 At An Angle Of 300 What Is Vector Q Minus R

Answer 2

The value of |q-r| will be 18 for the given two vectors q and r.

What is vector?

A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.

Given, |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°.

Let OA =|q|

OB = |r|

BA = |q|-|r|

Hence ∠AOB = 45°+(360°-300)

∠AOB = 45°+60°

∠AOB = 105°

Given |q| = 5, |r| = 16

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

Now using the cosine rule

|q-r| = √(16)²+(5)²-2×16×5×cos105°

|q-r| = 18

Learn more about vectors here:

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Related Questions

The book store is having a sale. Every book is $5 off, regardless of the original price.

The sale price for every book is $5 less than the original price.

Let x = original price

Let y = sale price

Which equation represents this situation?

A. y = × + 5

B. y = × - 5

C. y = 5x

D. y = × ÷ 5

Answers

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating) how many cookies did Amy make?

Answers

3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.

Which of the following is a linear function?

A
y=2/x + 11

B. 2
y=x + 6

C
y=1/2 (x-9)

Answers

Answer:

y=x+6

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

for each of its variables. In this case, the degree of variable

and the degree of variable

if john is 13 what will he be in 63 years

Answers

Answer:

Step-by-step explanation:

Answer: 76

Step-by-step explanation: may be dead

Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator

Answers

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

write the value of 50 times the sum of 64 and 36

Answers

e Value of the Expression a. 50 times the sum of 64 and 36. 50 x(64+36)

Answer:

500 :)

Step-by-step explanation:

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________

Answers

Answer:

0.05

Step-by-step explanation:

The Effect size = (Difference in Means) / (Standard deviation)

= (20 - 19) / 20

= 1/20

= 0.05

Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.

Answers

Answer:

the answer is someone else can

Answer:

S = P (r)(t)

Step-by-step explanation:

S = Simple interest

P = Principle

r = rate

t = time

S = (10000 x 2%)x2

Work brackets first 10000 x 2% = 200

then 200 x 2 = 400

S = 400

Any help please thank you I appreciate it

Is credit union the heights rate ? Can anyone help me get the answer

Answers

Have faith, you got it. 6 2/5 is 6.4% when converted to decimal. Higher than the others once converted to decimal as well.

The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?

A. $28 dollars

B. $14dollars

C. $11dollars

D. $10 dollars

Answers

Answer:

$11

Step-by-step explanation:

0.50 × 6 = 3

3 + 8 = 11

Answer - $11

Hope this helps

The answer is $11 dollars

You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?

Answers

Answer:

The account interest rate is 0.80%

Step-by-step explanation:

A=P(1+r/100)^10

1462=1350(1+r/100)^10{divide both sides by 1350}

1462/1350=(1+r/100)^10{find the 10th root of both sides}

1.00800=1+r/100{multiply through by 100}

100.800=100+r

r=100.800-100

r=0.80%

Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub

Answers

Answer:

The total value of the discount is $14

Step-by-step explanation:

40 x 0.35 = 14

A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
What is the regular price of the shoes?
A $8
B $12
C $20
D $16

Answers

Answer:

Step-by-step explanation:

25% of 16 is 1/4x16=4, which leaves D as as your answer

Answer:

Step-by-step explanation:

instead of taking away 4 add it until you have 100%

harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?

Answers

Answer:

5 11/12 hours

Step-by-step explanation:

Make your common denominators 12. then when you add up you get 5 11/12.

Hope this helps and good luck :)

Fine the vertex, the axis of symmetry and the y intercept of the graph

Answers

Answer:

vertex: (-3,2) because the vertex would be the center point of the parabola

axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.

y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis

A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z

Answers

Answer:

x = 10, y = 6 and z = 4

Step-by-step explanation:

From the question, we can form simultaneous equations of 3 variables.

Since the total tables is 20, then

x + y + z = 20

If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation

4x + 6y + 8z = 108.

From th last statement "if only half ..." We can form the following equation:

(4x)/2 + (6y)/2 + (8z)/4 = 46.

From these we have the equations (after simplifying) to be:

x + y + z = 20 -------------- 1

2x + 3y + 4z = 54 ----------- 2

2x + 3y + 2z = 46 ----------- 3

In order to solve these equations, let's subtract eqn 3 from 2, we have:

2z = 8

z = 4

Putting z = 4 in eqn 1 and eqn 2

We have:

x + y = 16 ----------- 4

2x + 3y = 38 -------- 5

To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.

4 x 2 : 2x + 2y = 32 ----------- 6

5 x 1 : 2x + 3y = 38 ------------ 7

Let's subtract eqn 6 from eqn 7, we have:

y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.

Therefore, x = 10, y = 6 and z = 4

What is the cubic Yardage of a 60'X40'X6"
thick lab?

Answers

Answer:

ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํ ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎\ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.

Answers

Coefficients are the numbers in front of the variables therefore The coefficient of x^2 y^3 would be (-4)x and 1(y). Anytime there isn’t a coefficient shown in front of a variable the coefficient will always be 1. I hope this helped :)

What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)

Answers

Answer: sin(x) / cos(x)

Step-by-step explanation: This is just a trigonometric identity you should have memorized :)

Help! Which is the right one?

Answers

Answer:

it depends on the rest of the equation

Step-by-step explanation:

sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle

Need help plz very much

Answers

Answer:

Step-by-step explanation:

Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:

[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]

Thus, 3 should go in the box.

K mola ofkg o okdgmbo9k

Answers

Answer: c

Step-by-step explanation:

C because the hour each have 25 more added to it

can you help me? i don’t understand

Answers

angle1 + angle2 = 180

[tex]4x + 20 + x + 20 = 180[/tex]

[tex]5x + 40 = 180[/tex]

[tex]5x = 180 - 40[/tex]

[tex]5x = 140[/tex]

[tex]x = \frac{140}{5} [/tex]

[tex]x = 28[/tex]

2. Which expression is equivalent to 3(4x + 10 = 2+3)?

Answers

Answer: ask ggle it gives you the answer

Step-by-step explanation:

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

Answers

It will cost you $7.45

Determine the value of x.

Answers

i think the answer is d

100 points! help please I need this

Answers

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.

Answers

The answer would be (D) Multiply the second equation by 4.

The second equation would become 8x - 8y = -28, and the 8y from the first equation and the -8y from the second would cancel out and you can solve for x.

Suppose a DVD costs $19 and a CD costs $12. Which inequality represents how many CDs (c) you can buy along with one DVD (d) if you have $67 to spend?

A. 12c + 19 ≥ 67

B. 12c + 19 ≤ 67

C. 19c + 12 ≤ 67

D. 12c + 19 > 67

Answers

I think the answer is A hope it helps

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