please help me thank you

Answer:

∠AOB + ∠BOC = ∠AOC we will be using this equation

x = 21   this is the value of x

Step-by-step explanation:

Angle AOC = 84

Angle AOB = 3x

Angle BOC = x

it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC

now lets make the equation we that we will be using

∠AOB + ∠BOC = ∠AOC

3x + x = 84

4x = 84

x = 84 ÷ 4

x = 21

Step-by-step explanation:

Here, we have,

AOC=84°

AOB=3x

BOC=x

Now, the required equation will be;AOC=AOB+BOC[whole part axiom]

or, 84°=3x+x

or, 84°=4x

or, 84°÷4=x

or, x=21°

Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.

(a) For positive Linear Regression , Y score will be above mean .

(b) For negative Linear Regression , Y score will be below the mean .

What is Linear Regression ?

The term Linear regression analysis is used to predict the value of one  variable based on the value of another variable.

Part(a)

when the relationship of regression between two variables is positive then if one variable increase the other variable also increases ,

So , if the the x score is above the mean then the Y score will be also above the mean .

Part(b)

when the relationship of regression between two variables is negative then if one variable increase the other variable decreases ,

So , if the the x score is above the mean then the Y score will be below the mean .

Therefore , (a) Y score will be above the mean .

(b) the Y score will be below the mean .

Learn more about Linear Regression here

https://brainly.com/question/15682110

#SPJ4

Answer:

-1

Step-by-step explanation:

12 + -13 = -1

Answer:

a. Sample  = 1664 adults

b. Parameter= % of poll based on telephone interview

c. Statistic = 66%

d. Population = American adult population

e. Confidence level= 95%

f. Margin of error = +/- 3%

g. Sampling Error

Step-by-step explanation:

The missing part of the question is

The quotation below describes an opinion poll conducted by CBS News and the New York Times. Oneof the questions asked was "Do you favor an amendment to the Constitution that would permitorganized prayer in public schools?" Sixty-six percent answered, "Yes."

a. Sample  = 1664 adults

The number included in the sample

b. Parameter= % of poll based on telephone interviews

The sample chosen on the bases

c. Statistic = 66%

The statistic obtained after applying the formula etc.

d. Population = American adult population

The sample is chosen from the population

e. Confidence level= 95%

f. Margin of error = +/- 3%

g. Sampling Error

It is a sampling error because the areas omitted had a very large religious population and the results were biased.

The sample was not chosen from the areas omitted.

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer:

Problem 13: NO

Problem 14: YES

Step-by-step explanation:

HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To learn more about angles click on,

https://brainly.com/question/22312735

#SPJ4

Answer: 9 x 7

Step-by-step explanation: 9 x 7 = 63

Hope this helps!

Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

For more questions on  Simple form.

https://brainly.com/question/27624273

#SPJ8

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

  7.8 pounds

Step-by-step explanation:

The relation between pounds and kilograms is proportional:

  \(\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}\)

The stack of books weighs about 7.8 pounds.

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

learn more on right triangle here: https://brainly.com/question/30966657

#SPJ1

The sentence that includes a non-restrictive clause is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

Restrictive and non-restrictive clauses are defined as follows:

The sentence with the non-restrictive clause in this problem is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

However, the following sentence could be understood just as easily:

Giana found the perfect life-sized chicken hat to add to her collection.

Meaning that the "who collects anything relating chickens" noum is unnecessary, and thus the second option is correct.

More can be learned about non-restrictive clauses at https://brainly.com/question/1040722

#SPJ1

Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.

To compose the two functions, we substitute g(x) into f(x) in place of x:

f(g(x)) = 2(g(x)) - 8

= 2(1/2x + 4) - 8

= x + 8 - 8

= x

Therefore, composing the two functions results in the identity function, f(g(x)) = x.

Learn more about functions at https://brainly.com/question/11624077

#SPJ1

Answer:

C

Step-by-step explanation:

We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.

\(A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48\)

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

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

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

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

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

\(P(A) = 0.90*0.03 + 0.1*0.97 = 0.124\)

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

\(P(A \cap B) = 0.9*0.03 = 0.027\)

What is the conditional probability that she does, in fact, have the disease

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177\)

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

Answer:

348 frogs

Step-by-step explanation:

ratio = 3:7

total of ratio = 10

frogs = 3/10 × 1280 = 348 frogs

Answer:

let the ratio be 3x and 7x.

3x+7x=1280

10x=1280

x=128

Now

frogs =3x=3*128=384

toads =7x=7*128=896

the

Under the assumption that each line on the graph represents 1 unit on both axes.

Step-1: Determine the coordinates of 2 points on the graph

A(-2,1) and B(5,-6)

Step2: Find the slope of the line.

By formula,

Step 3: Find the equation of the line using the formula below:

Hence, the correct answer for equation of the line is y = -x -1

The Expression came in two parts, we started by solving the first part and getting a whole number and the second part was used to divide the first part.

The answer is 12005

Given Data

we have the expression

7^6+7^5−7^4 by 11

The dividend = 7^6+7^5−7^4

The divisor = 11

Let us express the dividend as a whole number

7^6+7^5−7^4 = 117649 + 16807 - 2401

7^6+7^5−7^4 = 132055

Hence the expression 7^6+7^5−7^4 by 11

= 132055/11

= 12005 ans

Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

<95141404393>

The extra amount that Robby is to pay in interest to purchase the television is calculated as: $98

To calculate the extra amount paid in interest, you need to determine the total cost of the loan, including the interest, and subtract the original amount borrowed.

Here's the formula to calculate the extra amount paid in interest:

Extra Amount Paid in Interest = Total Cost of Loan - Original Amount Borrowed

Where, Total Cost of Loan = Original Amount Borrowed + Interest

To calculate the interest, you can use the following formula:

Interest = Original Amount Borrowed x Interest Rate x Time

The interest on the cash advance is calculated as follows:

$350 x 28% = $98

So, the total amount Robby will pay for the television after interest is:

$350 + $98 = $448

Therefore, the extra amount Robby will pay in interest to purchase the television is:

$448 - $350 = $98

Learn more about extra amount paid in interest on:

https://brainly.com/question/26387774

#SPJ1

The measure of <BDC is 68 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

First, Interior of ( 2y+ 34) = 180 - (2y + 34)

                                         = 146- 2y

Now, using Corresponding Angle

74 = 146 - 2y

2y= 72

y= 72 / 2

y= 36

Second, Using Linear Pair

-7x+ 12 + (-8x+ 48)= 180

-7x + 12 - 8x + 48 = 180

-15x + 60 = 180

-15x = 120

x= -8

So, <BDC = -7x+ 12 = 56+ 12 = 68 degree

Learn more about parallel line here:

https://brainly.com/question/16701300

#SPJ1

Based on the weight of one third bag of popcorn, one bag of popcorn weighs 3/4 lb

The statement is given as

One third bag of popcorn weighed 1/4 lb

This means that

1/3 bag = 1/4 lb

Multiply both sides of the equation by 3

So, we have the following equation

3 * 1/3 bag = 1/4 lb * 3

Evaluate the products

So, we have

3/3 bag = 3/4 lb

Evaluate the quotient

So, we have

1 bag = 3/4 lb

Hence, the conclusion is that the weight of one bag is 3/4 lb

Read more about rate at

https://brainly.com/question/23950205

#SPJ1

Answer:

42km/h

Step-by-step explanation:

70km=100 minutes

7km= 10min

42km=60min

42km/h

Answer:

its negative

Step-by-step explanation:

9514 1404 393

Answer:

  ║w║ = 6

Step-by-step explanation:

(c) The magnitude of w is computed the same way the magnitudes of the other vectors are computed. It is the root of the sum of the squares of the components.

  ║w║= ║<-6, 0>║ = √((-6)² +0²) = √36

  ║w║= 6

Answer:

the false statement would be option b) (-333) < (-777).

Step-by-step explanation:

in negative numbers, the smallest negative number would be considered larger when compared to a large negative number. additionally, when you plot these numbers on a number line, it is evident that -333 would be closest to 0, and -777 would be the farthest. thus, -333 is larger than -777.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1