Given |u| = 10 at ∠135° and |v| = 5 at ∠30°, what expression can be used to find |u + v|?

(10)2 + (5)2 – 2(10)(5) cos(45°)
(10)2 + (5)2 – 2(10)(5) cos(75°)
(10)2 + (5)2 – 2(10)(5) cos(105°)
(10)2 + (5)2 – 2(10)(5) cos(165°)

Answers

Answer 1

Answer:

B, [tex]10^{2} + 5^{2}- 2(10)(5)cos(75)[/tex]

Step-by-step explanation:

Using the law of cosines, which is [tex]c^{2}=a^{2}+b^{2}-2ab cos(C)[/tex], you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

Answer 2

Answer:

its B

Step-by-step explanation:

Just got it right on edge


Related Questions

Describe the expression using an appropriate term or phrase.
7+(15x+5)
Which is the correct description?
1. product of two terms
2.sum of two terms
3.quotient of two terms
4.difference of two terms

Answers

Answer:

2. the sum of 2 terms

Step-by-step explanation:

It is the sum of 2 terms because in this expression you are simply just adding.

HELP ME PLEASEE:( I don’t understand this

Answers

Answer:

Rider A 450   Rider B 360

Step-by-step explanation:

450 and 360 is correct

gio paid $30 to have 6 shirts cleaned at the dry cleaners. What is the constant of proportionality that relates the cost in dollars to clean shirts , y , to the number of shirts, x?​

Answers

Answer:

The constant of proportionality is 5

Step-by-step explanation:

Given

[tex]y = \$30[/tex] --- Cost

[tex]x = 6[/tex] --- Number of shirts

Required

Determine the constant of proportionality

The relationship between y and x is:

[tex]y =kx[/tex]

Where:

k = constant of proportionality

Substitute [tex]30\ for\ y[/tex] and [tex]6\ for\ x[/tex]

[tex]30 = k * 6[/tex]

[tex]30 = 6k[/tex]

Divide both sides by 6

[tex]\frac{30}{6} = \frac{6k}{6}[/tex]

[tex]\frac{30}{6} = k[/tex]

[tex]5 = k[/tex]

[tex]k = 5[/tex]

The constant of proportionality is 5

What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.

Answers

Answer:

y=1/3x

When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.

Brad buys a jacket that is on sale for 30% off the original price.The expression p - 0.3p can be used to find the sale price of the jacket, where p is the original price of the jacket. If the original price of the jacket is $80, what is the sale price?

Answers

Answer:

$56

Step-by-step explanation:

The jacket is on sales for 30% off the original price = (0.3)

The original price (P) = $80

However, the expression "p - 0.3p" is to be used to find the sales price

The sale price = p - 0.3p

The sale price = $80 - 0.3($80)

The sale price = $80 - $24

The sale price = $56

question below thanks

Answers

Answer:

y= half of x +2

Step-by-step explanation:

Ex: y=3  

Half of X is 1. 1+2=3

Ex: y=4

Half of X is 2. 2+2=4

Etc. im not going to do all the problems but i hope this helps :)

Sandra left home with $200 in her wallet. Sandra spent 25% of her money on
shoes and 3/5 of her money on clothes. How much money does she have left?
Your answer

Answers

Answer:

$30

Step-by-step explanation:

shoes: 25/100(200)=

1/4(200)=50

she spent $50 on shoes

clothes: 3/5(200)=

she spent $120 on clothes

50+120=170

200-170=30

Write an equation for this scenario and solve.

Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score?

Answers

Answer:

lets call andere A and diego D.

so

A-9=D

D times 2 = n

now we divide 10/2 and thats 5

diego scored 5 points so we can sub in

A-9=5

now we add 9. making 14

ANDRE SCORED 14

Answer:

Diego scored 14 points

x = 14

Hope this helps!

Which of the following is an example of the Distributive Property?


(zc)kt = zc(kt)


2x - 20y = - 20y + 2x


- 2x + 6 = 6 - 2x


2x2(x + 1) = 2x3 + 2x2

Answers

Answer:

the last option. 2 x 2 (x + 1) = 2x3+2x2

What is this? Please answer with an explanation

Answers

(-2,-2) because the graph shifts left 2 and down 2

Lets say you run a restaurant. If you have around 60 customers everyday, and each of them pay 50$ per meal how long would it take to repay 300,000$ in debt?

Answers

Answer:

100 days

Step-by-step explanation:

If you have 60 customers that pay everday $50, 60 multiplied by $50 is $3,000 a day. You take your debt, 300,000 and divide that with the 3,000. Thus gives the answer 100 days.

Answer:

100 days

Step-by-step explanation:

First, you must take the 60 customers and multiply it by the $50 daily. That equals 3,000 dollars, so the restaurant is earning that much each day. In order to make 300,000 dollars, it would take 100 days. This is because 300,000/3,000 is 100. I hope this helps!:))

pls can somebody help me... ​

Answers

Answer:

Domain and Range in set notation

Domain: {x|x=4,0,-2}

Range: {x|x=-1,4,9,-9}

Step-by-step explanation:

We are given a relation G

G={(4,-1),(0,4),(-2,9),(-2,-9)}

We need to find domain and range of the relation G

Domain: The domain is the set of all first elements of ordered pairs (x-coordinates)

Range: The range is the set of all second elements of ordered pairs (y-coordinates).

So for the given relation G={(4,-1),(0,4),(-2,9),(-2,-9)}

Domain is: (4,0,-2)

Range is: (-1,4,9,-9)

So, Now writing Domain and Range in set notation

Domain: {x|x=4,0,-2}

Range: {x|x=-1,4,9,-9}

In a toy store the ratio of the number of dolls to the number of teddy bears is 6:5. If the store has 240 dolls how many teddy bears are in the store?

Answers

Answer:

240:200 There’re 200 teddy bears at the store.

Step-by-step explanation:

In a survey of 2,200 people who owned a certain type of car 1,430 said they would buy that type of car again what percent of people surveyed were satisfied with the car

Answers

Answer:

its 65 percent

Step-by-step explanation:

Francois earns a weekly salary of $475 plus a 5.5% commission on sales at a gift shop. How much would he earn in a week if he sold $700 in goods? Round to the nearest cent.

Answers

Answer:

$513.5

Step-by-step explanation:

$475 + ($700 x 5.5 / 100)

$475 + ($3850 / 100)

$475 + $38.5

$513.5

5/32 × 64y/100 please help :,)

Answers

Answer:

1/10y

Step-by-step explanation

(5/32(64))(y)/100

Find the coordinates of P so that P partitions the segment AB in the ratio 2/5 if A(-8, -2) and B(6, 19)​

Answers

Answer:

P=(-4/5,34/5)

Step-by-step explanation:

P=2/5{(-8+6),(-2+19)}

P=2/5{-2,17}

P={-4/5,34/5}

Let the random variable Q represent the number of students who go to a certain teacher's office hour each day. The standard deviation of Q is 2.2. Which of the following is the best interpretation of the standard deviation? А. On average, the number of students going to an office hour varies from the mean by about 2.2 students. B. For a randomly selected office hour, the number of students who will go is 2.2. C. For a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students. D. For a random selection of office hours, the average number of students expected to go is 2.2. E. For a random selection of office hours, the E average number of students expected to go will vary from the mean by 2.2 students.

Answers

Answer: А. On average, the number of students going to an office hour varies from the mean by about 2.2 students

Step-by-step explanation:

The standard deviation is a measure of spread, which gives how values deviate from the average or mean value of a particular distribution. Hence, the standard deviation is usually defined about the average value of a distribution.

Therefore, for a certain random variable representing the number of student who visits office hours, the standard deviation will be defined about the average or mean value of the random variable Q.

Thus, stated as ; number of students going to an office hour varies from the mean by 2.2 on average.

Which point is in the solution set of the given system of inequalities?

Answers

Answer:

(1/5, 9/5)

Step-by-step explanation:

Given the set of inequities

x+y>2..... 1

4x-y≥-1 .... 2

We are to get the solution point (x,y)

Solving simultaneously

From 1:

x>2-y

Substitute into 2

4(2-y)-y≥-1

4(2)-4y-y≥-1

8-5y≥-1

-5u ≥-1-8

-5y ≥-9

y≤9/5

Since x>2-y

x>2 - 9/5

x>1/5

Hence the required point is (x,y) = (1/5, 9/5)

Answer:

C. (0,3)

Step-by-step explanation:

hope this helps :)

Use the distributive property to evaluate the following expression: 9 x (4 + 9) . Show your work in your answer.

Answers

Is that a variable or a multiply sign?

what value of x makes the equation -5x-(-7-4x)= -2(3x-4) true

Answers

answer: x=1/5 or 0.2

Kendra bought 163 donuts for $60. Her profit was $55 once she had sold 100 donuts. Which equation below
represents Kendra's profit P(n), as a function of the number sold, n ?

Answers

Answer:

Concept: Mathematical Modeling

163 donuts for 60 She mad 55 in profit: 55/163= .33 per donut P(n)= 163(n)Note: You didn't provide the options

The equation which represents Kendra's profit P(n) will be  P(n) = 0.55n.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given,

Profit was $55 by selling 100 donuts

Profit per donuts = 55/100 = $0.55

Let's say she sold n number of donuts

Then.

Profit P(n) = 0.55n.

Hence "Kendra's profit P(n) will be  P(n) = 0.55n".

For more about the function

brainly.com/question/23712366

#SPJ5

Mr. Gray received $80 in cash for mowing lawns answer each part to determine what Mr. Gray did with his money.

Part A: mr. Gray put 20% of the $80 into the bank how much money did Mr. Gray put into the bank?

Part B: mr. Gray spent 1/4 of the $80 how much money did Mr. Gray spend?

Part C: mr. Gray kept the remaining amount of money how much money does Mr. Gray keep?

Answers

Answer:

Part A: $16

Part B: $20

Part C: $44

Step-by-step explanation:

Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?

Answers

Answer:

.

Step-by-step explanation:

.

Can someone please help me?!?! I need this done before 1-5-21

Answers

Answer:

8=w, -8=w  (±8=w)

Step-by-step explanation:

192=[tex]3w^{2}[/tex]

First, divide by 3

64=w²

now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )

8=w, -8=w

You can also write it as ±8=w

Hope this helps!

someone please help me simplify this!

Answers

Answer:

the answer is A because anything with an exponent of 0 is = to 1

If you fly on a helicopter for 20 minutes at a speed of 240 km/h how far will you go in miles? PLS ANSWER ASAP WILL MARK BRAINLIEST!

Answers

Answer:

your answer should be 49.7097

Step-by-step explanation:

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Solve the equation 64f^2-225.

Answers

So f= 15/8 and -15/8

Will give brainliest!

Answers

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