Solve the rational equation

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

Answer:

Debit Office Supplies Expense: 15,066, Credit Office Supplies: 15,066

Step-by-step explanation:

Office Supplies Account started with a $4000 debit balance.

Apply the adjustment of the end of the year total. $4000-$2334 = $1666.

The company purchased supplies for $13,400

$13,400 + $1666 = $15,066

Answer:

Practice and be cool

Step-by-step explanation:

On what topic u want to be pro practice hard

Answer:

1) learn from your mistakes

2) make a dream and follow it

3) increase IQ

4) increase confidentiality

Answer:

Step-by-step explanation:

-6.34

You can just use the calculator. :)

Answer:

-6.34

Step-by-step explanation:

so the -6 would stay the same since it is a whole number. since the denominator is half of 100, you would multiply it by 2 (17/50*2) to keep the fraction equal you would do the same to the numerator (17*2/100) getting 34/100. you would put a decimal before the 34 since it is not whole, getting -6.34

Answer:

2/20

I guess..? it's too obvious

Step-by-step explanation:

Answer:

D.   -[tex]\sqrt{17}[/tex]/8

Step-by-step explanation:

Draw a right triangle such that cos (theta) = 8/9.  That means the hypotenuse = 9 and the adjacent side to theta = 8

Use the Pythagorean theorem to find the opposite side to theta

[tex]\sqrt{9^{2} - 8^{2} } = \sqrt{81 - 64} = \sqrt{17}[/tex]

tan (theta) = [tex]\sqrt{17}[/tex]/8

Since theta is in quadrant IV, the tan is negative.  So, tan (theta) = -[tex]\sqrt{17}[/tex]/8

After considering the equation. Assuming  8 is an angle in quadrant iv, the value of tan(Ф) is:√17/8

Given:

Equation=cos(Ф)=8/9

Using pythagorean theorem formula

H²=P²+B²

Where:

B=8

H=9

Let plug in the formula

P²=9²-8²

P=√81-64

P=√17

Since 8 is an angle in quadrant iv. Hence:

Value of TanФ=√17/8

Inconclusion the value of tan(Ф) is:√17/8

Learn more about value of tan(Ф) here:https://brainly.com/question/12561549

Answer:

You have 16 different toppings

Step-by-step explanation:

Given

[tex]Sameer = 12[/tex]

Required

How many topping at your sundae shop

From the question, we understand that Sameer's is3/4 of your toppings

Mathematically, this is:

[tex]Sameer = \frac{3}{4} * Y[/tex]

Where

Y represents You

Make Y the subject

[tex]Y = \frac{4}{3} * Sameer[/tex]

Substitute 12 for Sameer

[tex]Y = \frac{4}{3} * 12[/tex]

[tex]Y = 4 * 4[/tex]

[tex]Y = 16[/tex]

Answer:

1. pi or π

2. 7,234.6

3. 26.4

4. 94.2

hope it helped :)

Step-by-step explanation:

Answer:

im pretty sure its 4! if not 6!

Answer:

Degree: x= -1, [tex]\frac{8}{5}[/tex]

leading coefficient: 5

Step-by-step explanation:

hope this helps!!!

Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

If Pvalue < α ; Reject H0

Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Answer:X=(-2,3) or X= (0,0)

Answer: The correct choice is letter C.

Step-by-step explanation:

Cosine = adjacent/hypotenuse

In this triangle, you are looking for angle degree of cos X.

When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].

The adjacent side from x is 12 and the hypotenuse is 15.

So you form your trig ratio which is your answer.

[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80

Answer:

the answer is C

Step-by-step explanation:

the percent decrease is by 8 percent

Answer: A sudden debt pay off

Step-by-step explanation:

A loan in this context is a specific amount of money that is borrowed to be paid back with interest. The lender is usually an individual, financial organizations or the government.

The lender and the borrower both share the terms of agreement which includes interest rates, date of payments and other stipulated conditions.

When a borrower pays a loan quickly, it is known as Sudden Debt Payoff.

This is because the borrower pays back before the date that both parties agreed on.

Answer:

[tex](0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex], that is, option C

Step-by-step explanation:

From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.

This means that the proportions are:

[tex]p_C = \frac{34}{200} = 0.17[/tex]

[tex]p_K = \frac{54}{200} = 0.27[/tex]

Subtraction of proportions:

In the confidence interval, we subtract the proportions. So:

[tex]p = p_C - p_K = 0.17 - 0.27[/tex]

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Standard error:

For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:

[tex]\sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

So the confidence interval is:

[tex](0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex], that is, option C

Answer:

hello

Step-by-step explanation:

i think it is modelling

hope it helps

have a nice day

I am pretty sure it's modeling!

Answer:

12 feet

Step-by-step explanation:

w = width

w+2 = length

w(w+2) = 8

w² + 2w - 8 = 0

(w+4)(w-2) = 0

w = -4   exclude because a length cannot be negative

w = 2

length = 2+2 or 4

P = 2(2)+2(4)

P = 4+8 or 12

Answer:

-3/20

Step-by-step explanation:

Let other number = x

∴ -9/20 + x = -3/5

∴ x = -3/5 + 9/20

∴ x = -3/20

Hope this helps  :) !!!!

Answer:

[tex]-\frac{3}{20}[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

Let the another rational number be 'x'.

According to the question , the equation formed will look like this :-

[tex]x + (-\frac{9}{20} ) = -\frac{3}{5}[/tex]

[tex]=> x - \frac{9}{20} = -\frac{3}{5}[/tex]

Now solve the equation.

[tex]=> x - \frac{9}{20} + \frac{9}{20} = -\frac{3}{5} + \frac{9}{20}[/tex]

[tex]=> x = \frac{9}{20} - \frac{3}{5} = \frac{9 - (3 \times 4)}{20} = \frac{9 - 12}{20} = \frac{-3}{20}[/tex]

Answer:

0,15/ 5,20/ 10,25/ 15,30/ 25,35

Step-by-step explanation:

the additional hours is x and total hours is y.

Answer:

The correct answer is:

A, B, D,

Step-by-step explanation:

Answer:

-4 sqrt(7)/7

Step-by-step explanation:

csc theta = -4/3

csc theta = hypotenuse / opposite side

hypotenuse = 4  

opposite  = 3

Using the pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9+b^2 = 16

b^2 = 16-9

b^2 = 7

Taking the square root

sqrt(b^2) = sqrt(7)

b = sqrt(7)

We are in the third quadrant so only tan  and cot are positive

that means the x and y values are "negative"  so a = -3 and b = - sqrt(7)

sec theta = hypotenuse / adjacent

                = 4/ - sqrt(7)

rationalizing  

                   -4 sqrt(7)/ sqrt(7)* sqrt(7)

                = -4 sqrt(7)/7

Answer:

46

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠6 is supplementary with 24° as consecutive interior angles.

Answer:

0.4 = 40% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this questions:

Event A: Likes sprinkles

Event B: Likes chocolate.

20% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.2[/tex]

8% of your friends like Chocolate (C) and also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.08[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.2} = 0.4[/tex]

0.4 = 40% of this group likes chocolate

Answer:

im assuming that we are solving for g. i got 8x^2-10x-3 over x

Step-by-step explanation:

1. gx^2=8x2−10x−3

then u divide both sides by x which gets u gx over x = 8x^2-10x-3 over x

i hope that makes sense and helps!

Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.