Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.

Answers

Answer 1

Answer:

120°

Step-by-step explanation:

From the question,

The expression for the dot product of two vector is given as

a.b = abcosθ................... Equation 1

make θ the subject of the equation

θ =cos⁻¹ (a.b/ab)......................... Equation 2

Where θ = angle between the vector.

Given: a.b = -27, a = 6, b = 9

Substitute these values into equation 2

θ = cos⁻¹[-27/(6×9)]

θ = cos⁻¹(-27/54)

θ = cos⁻¹(-0.5)

θ = 120°.

Hence the angle between the vector is 120°

Answer 2

Answer:

B

Step-by-step explanation:

Edge 2021


Related Questions

Evaluate the expression when a = 3 and y=-3.
-a +6y

Answers

-3+6(3)=15
answer: 15

Someone plz help me !
Giving brainliest

Answers

Answer:

(6,3)

Step-by-step explanation:

It will make a weird diamond shape.

Answer:

(6,3)

Step-by-step explanation:

A rhombus lis like a diamond shape so we know its going to be opposite if point B.

Point B is located 3 units above the invisible line that connects A and C.

Count down 3 units from that line and you will get your answer.

Hope this Helps!

:)


[tex] \sqrt{64} } [/tex]

Answers

Answer:

8 is your answer ^_^

Step-by-step explanation:

Round : 9198.10666667
to the nearest hundredth

Answers

Answer:

9198.17

Step-by-step explanation:

Answer:

9198.11

Step-by-step explanation:

;) the zero becomes a 1 since next number 6 (above 5)

Don Pedro tenía una parcela de 10 hectareas, vendió la quinta parte y el resto lo dividió entre sus 4 hijos, cuantas hectareas recibió cada uno?

Answers

what do i need for u supposed to help them

what is x worth in 8(-6x + 14) = -128

Answers

Answer:

5

Step-by-step explanation:

SOS PLEASE HELP write the equation for this line​

Answers

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

8x-29 + 6x-11 + 3x-1 solve for x

Answers

Answer:

Step-by-step explanation:

I need help on this too.

Answer:

8x-29 + 6x-11 + 3x-1=180

Answer: 180

Step-by-step explanation:

a boy walks x meter in 6 min. how many meter can he walk in 1 hour​

Answers

Answer:

10x I think

cause X divide by 6 is X/6

then X/6 x 60min(1h) is 60x/6 which is 10x

hope this helps:))

How do I find measures to interior angles

Answers

Answer:

Just add all the angles together, and see if they add up to 180 degrees

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

2. Solve for b.
(a - 3)

Answers

Answer:

Step-by-step explanation:

Sum of angles inside triangle is 180

b + (a -3) + 90 =180

b + a - 3 + 90 = 180

b + a +  87 = 180

b + a +  87 -87 = 180-87

b + a  = 180-87

b + a  = 93

b = 93 -a

Decide whether each equation is true for all, one, or no values of x.

Answers

Solution:

1) 6x - 4 = -4 + 6x

6x -6x = -4+4

0 = 0

ans - true

2) 4x -6 = 4x + 3

4x-4x = 3+6

0 = 9

Ans - false

3) -2x+4=-3x+4

-2x + 3x = 4 - 4

x = 0

ans - false

A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature.

What was the temperature:

1 hour ago? degrees

3 hours ago? degrees

Answers

Answer:

Step-by-step explanation:

hola my friend

Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amyn used 1.6 cups of cheese in a dish that serves 8. How much more cheese is in one serving of Sarah's dish?

Answers


0.5 cups of cheese

Amy: 1.6 divided by 8 = 0.2 cups of cheese per serving

Sarah: 2.5 divided by 10 = 0.25 cups of cheese per serving

0.25 - 0.2 = 0.5

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?

Answers

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

Help ASAP!!!!!!!!!!!

Answers

Answer:

- 1/2

Step-by-step explanation:

In order to find a slope intercept we need to use,

Equation : y= mx + b to find the slope (m)

Determine the volume of the entire Charter School.​11 points

Answers

Answer:   512m³

Step-by-step explanation:

v = whl

The volume for left building:

v = w x h x l

v = 4 x 10 x 8

v = 320 m³

The volume for right and lower building:

v = w x h x l

v = 8 x 4 x 6

v = 192 m³

The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³

Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom have:
dimes
quarters

Answers

Answer:

thirty two quarters and three dimes

Hi, can someone help me with my math homework? I just need help with number C.

Answers

Answer:

She left, 875

Step-by-step explanation:

She are 3/4 of berries then She left 1/4 to jelly

[tex] \frac{1}{4} \times 3.5 = .875[/tex]

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

Answer:

total pints= 7/2

Ate 3/4 of 7/2 which is 3/4×7/2 = 21/8

left 1/4 of 7/2 which is 1/4×7/2 = 7/8

answer= 7/8

HELP WHAT PERCENT IS THE SALES TAX????

Answers

Answer:

first one is 6 cents(6 percent) second one 14 cents (14%)

Step-by-step explanation:

is just didviding them

I have to find the area of this rectangular prism pls help!!

Answers

Answer:

the surface area is 208

Step-by-step explanation:

formula for surface area is A = 2 (w*l + h*l + h*w )

A = 2 ( 4*8 + 6*8 + 6*4 )

A = 2 ( 32 + 48 + 24 )

A = 2 ( 104 )

A = 208

1. For the exponential function y = 2^x:
a) What is the y-intercept?
b) What is the domain?
c) What is the range?
d) What is the equation of the asymptote?
PLEASE HELP EXPONENTIAL FUNCTION!!

Answers

Answer:

D

Step-by-step explanation:

pajsoajssksksjsnsjeieueisjehedie

Will give brainiest to correct answer


40x + 45

Answers

Answer:

x= 1.125

Step-by-step explanation:

first we want to get the variable by itself so divide

just divide 45 by 40

1.125 is the answer

HALLPPPPPP PLEASEEE!!

Answers

I think right scalene

Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.

Answers

Answer:

Correct

Step-by-step explanation:

The given expression is : 4n - 2

Chris says that the expression (4n-2) can be written as 2(2n - 1).

Taking 2 common on the given expression.

(4n-2) = 2(2n-1)

Hence, he has wrote it in a correct way.

A store pays a supplier $40.00 for a wagon. The store sells the wagon for $70.00. What is the markup rate?​

Answers

Answer:

markup 75%

Step-by-step explanation:

The difference in prices is $70-$40=$30.

So, we need to find what percentage of 40 is 30. We do this by dividing: 30/40=0.75, which is 75%. So, the markup is 75%.

2 (3x - 5) + 4 = -18


Solve for 20 Points

Answers

Answer:

x = -2

Step-by-step explanation:

2(3x - 5) + 4 = -18

Distribute the 2

6x - 10 + 4 = -18

6x - 6 = -18

Add 6 to both sides

6x = -12

Divide both sides by 6

x = -2

Check:

2(3x - 5) + 4 = -18

substitute x = -2 into the original equation

2(3(-2) - 5) + 4 = -18

2(-6 - 5) + 4 = -18

2(-11) + 4 = -18

-22 + 4 = -18

-18 = -18

So x = -2 is true.

Answer:

x=-2

Step-by-step explanation:

2(3x-5)+4=-18

We move all terms to the left:

2(3x-5)+4-(-18)=0

We add all the numbers together, and all the variables

2(3x-5)+22=0

We multiply parentheses

6x-10+22=0

We add all the numbers together, and all the variables

6x+12=0

We move all terms containing x to the left, all other terms to the right

6x=-12

x=-12/6

x=-2

Solve for all values of x by factoring. x2 – 11x + 5 = -6x + 5​

Answers

Answer:

x = 0,5

Step-by-step explanation:

Factor and set each factor equal to 0.

For each pair of pants, Pedro has 2 shirts. Which models show this relationship? Check all that apply.

Answers

Step-by-step explanation:

Given - For each pair of pants, Pedro has 2 shirts.

To find - Which models show this relationship?

Proof -

Let Pedro has total number of pair of pants = x

Now,

As given

For 1 pair of pants , Pedro has total number of shirts = 2

⇒For x pair of pants , total number of shirts = 2x

So, Total number of clothes Pedro has = x + 2x = 3x

Answer:it’s A and D

Hope this helped

Express 150 as:
a) A fraction of 350.
b) A percentage of 600.

Answers

A) 3/7 and B) 25%. Give me a like if I helped please :)

Answer:

a)3/7

b)25%

Step-by-step explanation:

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