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

how to round 8.798 to the nearest cent

Answers

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

$4000 is compounded annually at a rate of 7% for 7 years.

Answers

Answer:

hey i think its $16,819 i'm so sorry if i get it wrong

Step-by-step explanation:

a
The expression ax²+bx+c is divisible by x-1, has a
remainder of 2 when divided by x+1 and has a remainder of 8 and when divided by x-2 find the values of a, b, and c and
factorise completely.​

Answers

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Alex was thinking of a number. Alex doubles it the adds 20 to get answer of 22.7. What was his original number.

Answers

Answer:

2.7

Step-by-step explanation:

Let the number alex think be x

Answer = 22.7

According to the question,

x + 20 = 22.7

x = 22.7 - 20

x = 2.7

Therefore, his original number is 2.7

Plz mark me as brainliest

Have a great day

PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS

Answers

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

What the other dude said ‍♂️

Here is an expression: 4•3^x


a. Evaluate the expression when x = 2


b. Evaluate the expression when x = 4.

Answers

Answer:

First one is 36 and second one is 324!!!

The triangle below are similar find the lengths of the missing side.

Answers

Answer:

The answer is b =9

Step-by-step explanation:

20:12=15:b

5:3=15:b

cross multiply

5×b=3×15

5b=45

divide both sides by 5

b=45÷5

b=9

Find the value of x.

Answers

Answer:

[tex]x + 1 + x + 3 = 180[/tex]

by vertically opposite angle theorem

[tex]x + x + 1 + 3 = 180[/tex]

[tex]2x + 4 = 180[/tex]

[tex]2x = 180 - 4 = 176[/tex]

[tex]x = \frac{176}{2} [/tex]

[tex]x = 88[/tex]

have a nice day

what is the value of x?
12
15
20
24​

Answers

Answer:

15

Step-by-step explanation:

33°
114"
33
A) right scalene
B) acute scalene
C) obtuse isosceles
D) equilateral

Answers

Answer:

b acute I think so ok but that was a weird quistoin

I have to find the value of x

k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu​

Answers

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

how far is 18 from -14 on a number line

Answers

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Select the word to make the statement true.

Similar polygons are ____ the same size.
A. always
B. sometimes
C. never

Answers

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

Use the Pythagorean Theorem to confirm the three sides of a right triangle.
3. a = 5, b = 12,c = 13
4. a = 4, b = 10,0 = 20

Answers

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

What is the square root of ten rounded to the nearest 100th

Answers

Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

What's the answer to this questions?

Answers

i believe the answer is 2 :) .

Which property of equality is used to solve the equation 5n = 50?
What property of equality would you use to solve the equation n/4 = 16.

Answers

Answer:

To solve 5n = 50, I would use the property of division.

To solve n/4 = 16, I would use the property of multiplication.

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

-XxDeathshotxX

if f(x) =2x/X-5

Find f^-1(x).​

Answers

Step-by-step explanation:

Let f(x)=y

y=2x/X-5

y(x-5)=2x

xy-5y=2x

x(y-2)=5y

x=5y/y-2

Apply x=5y/y-2, on f(x)

f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]

=(10y/y-2)/[(5y-5y+10)/y-2]

=10y/10

=y

So f^-1(x)=5y/y-2

Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
If these will be there then I will mark them as BRAINLIEST!

Answers

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

yall the ones with boxes help

Answers

Answer:

16

Step-by-step explanation:

If the store sells 2 printers for every 5 computers

40/5 is 8. this means there are 8 sets of 5 computers

8x2 is 16 since for every 5computers, 2 printers are sold

how do i find the volume in 3d shapes, please help i need to get better grades

Answers

Length*Width*Height
The teacher needs to give you the values

Which of the following represents a polynomial expression? Select one: A. 2x + 3log(x) + 5 B. 10x−−√ − 2 C. (x + 1)(x - 1) D. 4x + 2(3x + 3)

Answers

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

Which of these is the quadratic parent function?



f(x) = x2


f(x) = |x|


f(x) = x


f(x) = 2x

Answers

Answer:

the first one

f(x) = x²

its making me write more

Analyze the diagram below and complete the instructions that follow.

Find the value of x.

Answers

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.

42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58

Answers

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

9 + 15m



factorisation of algebraic expression that contain common factor​

Answers

The common factor would be 3 because 3 is the highest multiple of 15 and 9

Answer:3(3+5m)

Step-by-step explanation:


URGENT!!!!

Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in

Answers

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

What is the solution to the equation below? Round your answer two decimal places. 3^x = 9.2

Answers

3x = 9.2 ⇒ x = 2.02000606

Answer:

X=2.02

Step-by-step explanation:

Help me Please I will give brainliest! (please dont answer if you dont know)

Answers

Answer:

16.5 feet or

about 17 feet long.

Step-by-step explanation:

A = bh

Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.

66 ÷ 4 = 16.5

So it is about 17 feet

Isabel has 6.75 bags of coffee. A full bag weighs 5.2 pounds. How many pounds of coffee does Isabel have? *

11.77
11.95
31.5
35.1

which one ^

Answers

Answer:

35.1

Step-by-step explanation:

6.75x5.2=35.1

Other Questions
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