part 5. Use the laws of sines. Please show work. Round to the nearest tenth.​

Answer:

A) x(x-4)(x-1)/2(x+4)

Step-by-step explanation:

(x²-16)/(2x+8) * (x³-2x²+x)/(x²+3x-4)

factor

(x+4)(x-4)/2(x+4) * x(x-1)(x-1)/(x+4)(x-1)

You can take out both (x+4) from the first side, and both (x-1) on the second side.  Then you’re left with:

(x-4)/2 * x(x-1)/(x+4)

which equal

x(x-4)(x-1)/2(x+4)

which is A.

Answer:

Linear function

Step-by-step explanation:

4

The polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Important information:

We need to find the polynomial in a standard form that represents the perimeter of the quadrilateral.

The perimeter of the quadrilateral is the sum of all of its sides.

[tex]\text{Perimeter}=3x-2+2x+12x+1+5x-2[/tex]

[tex]\text{Perimeter}=22x-3[/tex]

Therefore, the polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Find out more about 'Standard form of Polynomial' here:

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Answer:

(RUS)={ a,c,d,ef,g}

Step-by-step explanation:

All the number of alphabets present in R and S will be the union of set R and S

We have three parts of the equation with a power:

x^2y, 5xy^3, and 7y^2

We can find the degree of each by the following:

x^2y; 2 + 1 = 3

5xy^3; 1 + 3 = 4

7y^2; 2

Therefore, the highest degree is 4.

Best of Luck!

Answer:

$75 + $12x

$153 if you add the money she already had, $78 if you don't

Step-by-step explanation:

Answer:

v+24

Step-by-step explanation:

I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!

Answer:

x = 12.5

Step-by-step explanation:

x2 = 25 Divide both sides by 2

x = 12.5

Answer:

[tex]\huge\boxed{x = \± \ 5}[/tex]

Step-by-step explanation:

[tex]\sf x^2 = 25[/tex]

Taking sqrt on both sides

[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]

x = ± 5

Five added to the number, x.

Step-by-step explanation:

Five represents (5)

added to represents (+)

The number, x. represents (x)

Answer: W * L = 120

2W + 2L = 44

2W = 44 - 2L

W = 22 - L

(22-L) * L = 120

22L - L² = 120

L² - 22L = -120

L² - 22L + 121 = 121 - 120

(L - 11)² = 1

L - 11 = ±1

L = 11 ± 1

L = 10 or 12

Dimensions: 10 * 12

Step-by-step explanation: write it on paper

Answer:

12 more

Step-by-step explanation:

y-5= 6+ (x+1)

5+6+1=12

x is 12 less than y.

Five less than y is six more than x + 1,

y - 5= 6 + (x + 1)

5 + 6 + 1 = 12.

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Answer:

30

Step-by-step explanation:

x=10

x^2+3x-130=0

x=10 or -13

there is no negative angle so the answer is ten

Answer:

2

Step-by-step explanation:

So we have the equation:

[tex]7a+1+3=18[/tex]

Add 1 and 3:

[tex]7a+4=18[/tex]

Subtract 4 from both sides:

[tex]7a=14[/tex]

Divide both sides by 7:

[tex]a=2[/tex]

And we're done!

Answer:

$25,000

Step-by-step explanation:

8 x $10 = 80 x 40 = $3,200

11 x $15 = 165 x 40 = $6,600

4 x $18 = 72 x 40 = $2,880

6 x $21 = 126 x 40 = $5,040

7 x $26 = 182 x 40 = $7,280

3200 + 6600 + 2880 + 5040 + 7280 = $25,000

I hope this helps!

-TheBusinessMan

Answer:

a, 32

b, -58

Step-by-step explanation:

a) g(0) = 6 - 0^2 = 6

--> f(g(0)) = 4 . 6 + 8 = 32

b) f(0) = 4 . 0 + 8 = 8

--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58

Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

Answer:

B on edge

Step-by-step explanation:

5^3sqrt10+4^3sqrt10

Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers

Answer:

77

Step-by-step explanation:

Let's let the unknown number be x.

Supplementary angles add up to a total of 180 degrees. Since we already know one angle is 103, this means that:

[tex]103+x=180[/tex]

Subtract 103 from both sides:

[tex]x=77\textdegree[/tex]

So, the measure of its supplementary angle is 77 degrees.

And we are done!

Answer:77

Step-by-step explanation:

Answer:

C. P–1(t) =   log5 (StartFraction t Over 19,300 EndFraction)

Step-by-step explanation:

The inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]                    

The inverse function is a function obtained by reversing the given function. An inverse is a function that serves to “undo” another function. The domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.

For the given situation,

The function P(t) = 19,300(5)^t, where t is the elapsed time in hours.

Steps to find inverse function:

Step 1: Replace P(t) as y

[tex]P(t) = 19,300(5)^t[/tex]

⇒ [tex]y= 19,300(5)^{t}[/tex]

Step 2: interchange t and y

⇒ [tex]t = 19,300(5)^y[/tex]

Step 3: Now solve for y

⇒ [tex]\frac{t}{19300} =5^y[/tex]

By law of logarithm,

[tex]a^{x} = y[/tex]

⇒ [tex]log_{a} y=x[/tex]

Thus the equation becomes,

⇒ [tex]log_{5} \frac{t}{19300}=y[/tex]

Step 4: Now replace y as [tex]P^{-1}( t)[/tex]

⇒ [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]

Hence we can conclude that the inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex].

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Answer: The slope of the line is -2/3.

Step-by-step explanation:

How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!

I hope this helps :)

Answer:

-2/3

Step-by-step explanation:

Hope this helps!

Answer:

21 plates

Step-by-step explanation:

10 people each got two plates, 10 x 2 = 20.

Plus Katelyn's plate, 20+ 1 = 21.

Hope this helps!

Answer:

its actually 21 plates

Step-by-step explanation:

10×2=20+1=21

Answer:

It’s d on edge

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge

Answer:  1) 65°     2) 17°   3) 53°  or  37°

Step-by-step explanation:

[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]

[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]

3.  Which angle do you need? I solved for both:

               Bottom Right                     Top Left

[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

Answer:

76

Step-by-step explanation:

Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.

Answer:

37,1bilion tons*0,07=2,60 bilion tons (2d.p.)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

The answer is E

Step-by-step explanation:

Hope this answer is helpful...

Hope this answer is helpful...

Hope this answer is helpful... Make me as brainliest....

Answer:

  30,000

Step-by-step explanation:

Set the other digits to zero to obtain your answer:

  030,000

The value of the 3 is 30,000.

___

It is in the "ten-thousands" place, so represents 3 ten-thousands, or thirty thousand.

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

Answer:

yes it is a rational number because the number has a repeating pattern  

Step-by-step explanation:

The number 7.787887888... is rational, Yes; it has a pattern that is repeating.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that:

The number is 7.787887888

As we know,

The rational number can be represented in the form of p/q where q cannot be equal to zero.

If the number is terminated after some decimal places then it is said to be a rational number.

If the number is repeating its digit after decimal then it is said to be an irrational number.

Thus, the number 7.787887888... is rational, Yes; it has a pattern that is repeating.

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Answer:

-8

Step-by-step explanation:

any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.