Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Answer:

x = 3

Step-by-step explanation:

5(5 + 19) = 6(6 + 4x + 2)

5(24) = 36 + 24x + 12

120 = 48 + 24x

72 = 24x

x = 3

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

like the guy above me said

Answer:

C. 21^10

Step-by-step explanation:

(3 * 7)^10 = 16679880978201

Answer:

If it is:

1,089-4,445= -3,356

but if it is the other way:

4,445-1,089= 3,356

Hope it helped!

Answer:

Its a Subtraction problem

4445-1089

=3356

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

n is the number f terms

r is the common ratio

An = -9(1-(-3)^n)/1-(-3)

Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

Answer:

This is called a Trapezoidal prism

Number of faces: 5

Number of edges: 9

Number of vertices: 6

Hope this helps!!

Answer:

Answer:

Interest amount = 239400

Step-by-step explanation:

Below is the calculation of interest amount:

Given the loan amount or present value = 630000

Time period  = 48 months or 4 years

Interest rate give = 9.5%

Total amount = P ( 1 + rt)

P = 630000

r = 9.5%

t = 4 years

Total amount = 630000 ( 1 + 9.5% x 4)

Total amount = 869,400

Interest amount = 869400 - 630000

Interest amount = 239400

Answer:

The domain is -2,4,6,8

Step-by-step explanation:

The domain is the input values

6,8,4,4,-2

We only need to write the repeat values once

The domain is -2,4,6,8

Answer:

√7 / 4

Step-by-step explanation:

Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:

sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.

Given that cosΘ = 3 / 4

Therefore, cosΘ = adjacent / hypotenuse = 3 / 4

adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:

opposite² + adjacent² = hypotenuse²

x² + 3² = 4²

x² + 9 = 16

x² = 7

x = √7

sinΘ = opposite/hypotenuse = √7 / 4

Answer:

hehe

Step-by-step explanation:

If the solutions to a quadratic equation were -2 and 3 then,

А. The x-intercepts of the graph are also - 2 and 3.

C. The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0 is x² = x - 6 = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, The solutions to a quadratic equation were -2 and 3.

∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).

So,  The x-intercepts of the graph are also - 2 and 3.

The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0

=  (x + 2)(x - 3) = 0

= x² - 3x + 2x - 6 = 0

= x² = x - 6 = 0.

learn more about quadratic equations here :

https://brainly.com/question/17177510

#SPJ2

Answer:

x+2y=-3

x+2(-1)=-3

x-2=-3

x=-3+2

x=-1

Answer:

θ = 0° , 60°

Step-by-step explanation:

[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]

[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]

Now solve each part separately :-

1) [tex]\sin \theta = 0[/tex]

[tex]=> \theta = \sin^{-1}0 = 0[/tex]

2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]

[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]

[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]

[tex]=> \tan \theta = \sqrt{3}[/tex]

[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]

∴ θ = 0° , 60°

Answer:

Solution given:

[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]

[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]

Either

[tex] sin\theta=\sqrt{3} cos \theta [/tex]

[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]

[tex] Tan \theta =\sqrt{3}[/tex]

[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]

[tex] \theta =60°,240°,420°[/tex]

in terms of π is

[tex] \theta =⅓π,\frac{4}{3}π,[/tex]

Or

[tex] Sin\theta=1[/tex]

[tex]Sin\theta=Sin0° ,Sin180°[/tex]

In terms of π is

[tex]\theta=0π,π[/tex]

so

[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]

Answer:

Hope this helped! <3

Step-by-step explanation:

the median for number 1 is: 7.5 and the mean is 9.16667

the median for number 2 is: 100 and the mean is 90.4

the median for number 3 is: 10.5 and the mean is 18.16667

Answer:

Hi!

number 1: median: 8, 12 or 10

number 2: median: 100

number 3: median: 12, 2 or 7

number 1: mean: 9.16

number 2: mean: 90.4

number 3: mean: 18.16

Step-by-step explanation:

The mean is just all the numbers added up in a data set divided by how many numbers are in the data set. That gets you the average

The median is just the number in the middle of the data set.

Also for the first the median is either 10 or both 8 and 12 Because there's not 1 number in the middle it can be 8 and 12 of you want it averaged them it would be 10 I dont know which you want so you would have to figure that out

same with number 3

Also for the means it might vary depending if you need to round or not

Answer:

Answer:

1. 8.9

2. 14.5

3. 10.3

4. 18.8

5. 8.0

6. 15.0

(All to the nearest tenth)

The code is the sum of all missing sides

So adding all

=75.5

Answer:

3.12mm= 31,2cm

3.12= 0.312m

3.12 = 0.000312km

Answer:

x = 9

Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.

Then use the statement to solve for x

[tex]10x+50=140[/tex]

[tex]10x-50[/tex] = - 50    Subtract 50 from both sides

[tex]10x[/tex]         [tex]=[/tex]  90     Divide 10 from both sides

x             =   9      

Answer:

C. (-5, -2)

Step-by-step explanation:

I used

x1 + / (x2 - x1), y1 + / (y2 - y1)

so

-7 + 1/5(3 - (-7)

-7 + 1/5 (10)

-7 + 10/5

-7 + 2 = -5 (X)

then

-4 + 1/5(6 - (-4)

-4 + 1/5(10)

-4 + 10/5

-4 + 2 = -2 (Y)

(-5, -2)

Answer:

36 cubic inch

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

[tex]V=whl[/tex]

----------------------------------------------------------------------------------------------------------------

So:

6 × 3 × 2 = 36

----------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

V=210 square inches

Step-by-step explanation:

Volume formula for a rectangular prism is V=lwh

So Volume=Length x Width x Height

V= 14 x 10 x 1.5

V=210 square inches

Answer:

5.7 feet i think

Step-by-step explanation:

Answer:

[tex] \frac{x + 7 }{x - 3} [/tex]

Step-by-step explanation:

First factorize both expressions

[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]

Now you can cross out x+4

and you'll be left with

[tex] \frac{x + 7}{x - 3} [/tex]

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]x-2y=6[/tex]

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

[tex]x-2y-x=6-x\\-2y=-x+6[/tex]

Divide both sides by -2

[tex]y=\frac{1}{2} x-3[/tex]

Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (-6,-8)

[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]

Add 3 to both sides to isolate b

[tex]-8+3=-3+b+3\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:

[tex]y=\frac{1}{2}x-5[/tex]

I hope this helps!

Answer:

D is the answer

Step-by-step explanation: