Factor the expression completely. 4 x + 6

Answer:

TO FIND :-

FORMULAES TO KNOW BEFORE SOLVING :-

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

[tex]=> \sin 16 = \frac{7}{x}[/tex]

[tex]=> \frac{7}{x} = 0.27563......[/tex]

[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

[tex]=> \sin 29 = \frac{6}{x}[/tex]

[tex]=> \frac{6}{x} = 0.48480......[/tex]

[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

[tex]=> \sin 30 = \frac{x}{11}[/tex]

[tex]=> \frac{x}{11} = 0.5[/tex]

[tex]=> x = 0.5 \times 11 = 5.5[/tex]

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

[tex]=> \cos 43 = \frac{x}{12}[/tex]

[tex]=> \frac{x}{12} = 0.73135......[/tex]

[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

[tex]=> \cos 55 = \frac{x}{6}[/tex]

[tex]=> \frac{x}{6} = 0.57357......[/tex]

[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

[tex]=> \cos 73 = \frac{8}{x}[/tex]

[tex]=> \frac{8}{x} = 0.29237......[/tex]

[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

[tex]=> \tan 69 = \frac{12}{x}[/tex]

[tex]=> \frac{12}{x} = 2.60508......[/tex]

[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

[tex]=> \tan 20 = \frac{11}{x}[/tex]

[tex]=> \frac{11}{x} = 0.36397......[/tex]

[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2

Answer:

x = m + 3b

Step-by-step explanation:

add 3b to each side

x = m + 3b

Answer:

x=m+3b

Step-by-step explanation:

Hi there!

Our goal to make x the subject of the formula is to isolate x on one side and have everything else on the other side

here's the given formula:

m=x-3b

-3b is on the same side as x, which we don't want

add 3b to both sides (-3b+3b=0)

m=x-3b

+3b +3b

________

m+3b=x

since x is now the subject of the formula, we're done

Hope this helps!

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

Answer: sorry I don't get it but the answer for 16 is B sorry

Step-by-step explanation:

What do they teach you they are weird t doesn't make any sense

Refer to the attachment

Hope it helps you

Answer:

p = 0.259264214

Step-by-step explanation:

26 - 7 = 19 with good brakes

Probability of picking 4 with good brakes

p = 19/26 * 18/25 * 17/24 * 16/23

p = 0.259264214

The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.

To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.

Total number of cars assembled: 26

Number of cars with bad brakes: 7

To calculate the probability, we can use the concept of combinations.

The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.

In this case, n = 19 and r = 4.

The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:

C(26, 4) = 26! / (4! * (26-4)!)

Now, we calculate the probability that all the randomly chosen cars have good brakes:

Probability = (Number of favorable outcomes) / (Number of total outcomes)

Number of favorable outcomes = C(19, 4)

Number of total outcomes = C(26, 4)

Probability = C(19, 4) / C(26, 4)

Using a calculator, we can compute these combinations and evaluate the probability:

Probability ≈ 0.169

Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.

To know more about probability click here :

https://brainly.com/question/28417020

#SPJ2

Answer:

9.3

Step-by-step explanation:

Answer:

The answer is 4 \sqrt{7}.

Step-by-step explanation:

The formula is a\sqrt{x} + b\sqrt{x} = (a+b)\sqrt{x}, but if you don't understand it, here's an easier way to think about it.

You can think of \sqrt{7} as x (or any other variable). Now, the equation is 3x + x. If you've ever done algebra, (you probably have if square roots popped up on your homework) you know that this equals to 4x. Now, replace the x with \sqrt{7}, because we already decided that those two were equal. Therefore, the answer is

4 \sqrt{7}.

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer......

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The n-th term of this sequence is 3(-2)^(n-1)

Step-by-step explanation:

Term 1 = 3 = 3 X 1 =. 3(-2)^0

Term 2 = -6 = 3 X (-2) = 3(-2)^1

Term 3 = 12 = 3 X (-2) X (-2) = 3(-2)^2

…

The first term is 3, and every subsequent term is the previous term multiplied by -2.

Answer:

x^2+4x-21

Step-by-step explanation:

hope it helps

Answer:

Option D, x² + 4x - 21

Step-by-step explanation:

Using FOIL;

x * x = x²

x * (-3) = -3x

7 * x = 7x

7 * (-3) = -21

Therefore; x² + (-3x) + 7x - 21

=> If simplified:

=> x² + 4x - 21

Hope this helps!

Answer:

x=18

Step-by-step explanation:

let the number =x

then

x²-124=200

x²=200+124

x²=324

x=18

Answer:

x=18

Step-by-step explanation:

number = x

x^2 - 124 = 200

x^2 = 200 +124

x^2 = 324

(square root both sides)

x = 18

Answer:

6/25

Step-by-step explanation:

Total number of seats

12 + 15 + 23 = 50

Prob of first row

p = 12/50

p = 6/25

Answer:

10 inches

Step-by-step explanation:

Half of the circle is 5 inches. the other half will be 5, which added together makes 10

Someone please answer I need help on this one to

Answer: its b or c try one then the other

Step-by-step explanation:

Answer:

x = 2.2

Step-by-step explanation:

2(x+4)+6 = 12x-8

Use distribution property

2x+8+6 = 12x-8

Combine like terms

2x+14 = 12x-8

Subtract 14 from both sides

2x = 12x-22

Subtract 12x from both sides

-10x = -22

Divide both sides by negative 10

x = 2.2 or x = 11/5 in fractions.

Hope this helps

Objective (Profit) Function : 120 Po + 40 Co + 60 Ca

Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ;                    Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000

LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.

Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.

Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.

To learn more, refer https://brainly.com/question/2500020?referrer=searchResults

Answer:

A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian.

Answer:

first one on top to the left

Step-by-step explanation:

Answer:

f(x-4) = x²-8x + 17

f(x-4)-f(-4) = x²-8x

Step-by-step explanation:

Given the function:

f(x) = x^2+1

f(x-4) = (x-4)^2+1

f(x-4 ) = x² - 8x + 16 + 1

f(x-4) = x²-8x + 17

For f(x-4)-f(-4)

f(-4) = (-4)²+1

f(-4) = 16+1

f(-4) = 17

f(x-4)-f(-4) = x²-8x + 17 - 17

f(x-4)-f(-4) = x²-8x

Answer:

35 is a prime number between 30 and 40

Answer:

9e+36

Step-by-step explanation:

ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡

Answer:

$1,955.86

Step-by-step explanation:

We have to use the MS Excel to solve this question

PV = -300000

FV = 0    

I = 6.8%/12 = 0.5667%    

N = 30*12 = 360

Monthly payment = PMT(-PV, FV, I, N)

Monthly payment = PMT(-300,000, 0, 0.5667%, 360)

Monthly payment = $1955.8555499

Monthly payment = $1,955.86

So, her monthly payment is $1,955.86.

Answer:

what's the full question

Answer:

The slope of a line characterizes the direction of a line.

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

-2

Step-by-step explanation:

Answer:

1,008

Step-by-step explanation:

have a nice day

Answer:

1008

Step-by-step explanation:

1. [tex]840.\frac{20}{100}[/tex]

2. 168

3. 840 + 168 -> 1008

Answer:

Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies