The circle has Center O. It’s radius is 4cm, and the central angle a measures 140 degrees. what is the area of the shaded region. give the exact answer in terms of n , and be sure to include the correct unit in you’re answer

Answer:

Step-by-step explanation:

Negative four is at least six less than a number

Sum of a negative two & nine times a number is less than seventy nine

Combined inequality:

Answer:

The next step is to draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

The line drawn in the above step, from the two labelled points is the perpendicular bisector of the segment

Step-by-step explanation:

To draw a perpendicular bisector of a segment, we have;

1. Ensure the compass is opened to more than half of the length of the segment to be bisected

2. Draw arcs of the same radius with center at the ends of the line to be bisected

3. Label the points where the arcs drawn from both ends cross each other on opposite sides of the line

4. Draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

5. The line so drawn from the two labelled points is the perpendicular bisector of the segment.

Answer:

14 times more than the larger school

Step-by-step explanation: This makes no sense, there is no problem to solve, just a statement

Step-by-step explanation:

11/4 or 2¾

easy peasy....

a) The coefficient of variation the coefficient of variation can be determined using the following formulaic = (Standard deviation / Mean) × 100Where CV = Coefficient of variation The Mean (μ) = 30.3 years old.

Therefore, the range of ages that will include 68% of the students is from: μ ± σ= 30.3 ± 2.8= (27.5, 32.1)d) Using Chebyshev's Theorem, determine the range of ages that will include at least 94% of the students around the mean Chebyshev's theorem is given as follows;1.

Using Chebyshev's Theorem, determine the range of ages that will include at least 78% of the students around the mean Since we want to find the range of ages that will include at least 78% of the students, then;

1 – 1/k²

= 0.78

Thus,

k²

= 1/0.22

= 4.5455k

= 2.13

Hence, the range of ages that will include at least 78% of the students is from:

μ ± 2.13σ

= 30.3 ± (2.13 x 2.8)

= (23.6, 37)

Therefore, the range of ages that will include at least 78% of the students is from 23.6 years old to 37 years old.

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The length of the ribbon to the nearest tenth is 50.3 inches.

To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.

The formula for the circumference of a circle is given by the following:

C = 2πr

Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.

Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.

Hence, we have: r = 8 inches

C = 2πr

C = 2π(8)C = 16π

The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)

Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.

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Place value of 432 is 400 +30+02 .

What is place value?

In math, each digit in a very variety features a place value. Place value is outlined because the price pictured by a digit in a very variety on the premise of its position within the variety.

Main body:

The place value of a digit will increase by 10 times as we move  left on the place worth chart and reduces by ten times as we tend to move right.

The place of digit 4 will be hundreds.

The place of digit 3 will be tens.

The place of digit 2 will be ones.

Hence place value of 432 is  400 +30+02 .

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The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.

This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.

Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.

Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.

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Answer:

I have researched a bit on it and I think the answer is A but if I am wrong I am sorry I really tried and I am just trying to get done with my question and I did not guess I promise.

Answer:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

Step-by-step explanation:

We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.

1). 6 pints apple juice and 6 cups cranberry juice

Let us convert pints and cups to gallons

1 pint = 0.125 gallons

6 pints = 6 X 0.125 = 0.75 gallons

1 cup = 0.0625 gallons

6 cups = 6 X 0.0625 =0.375 gallons

Total juice got from here is 0.75 +0.375 = 1.125gallons.

This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.

2) 2 quarts apple juice and 8 cups cranberry juice.

2 quarts = 0.5 gallons

8 cups = 0.5 gallons.

Total juice got here is 0.5 + 0.5 = 1 gallon.

This can fit into the 1-gallon pitcher

3). 5 pints of apple juice and 2 quarts of cranberry juice

5 pint = 0.625 gallons

2 quarts = 0.5 gallons

Total juice got here is 0.625+ 0.5 = 1.125 gallon

This cannot fit into the 1-gallon pitcher

4). 9 cups of apple juice and 3 pints of cranberry juice

9 cups = 0.5625 gallons.

3 pints = 0.375 gallons

Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.

This can fit into the 1-gallon pitcher because it is of less volume.

Hence, only these combination of drinks can fit into the 1-gallon pitcher:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

The equations that have a solution of c=1.5 are 4c=41.5 and 0.2c=0.3.

1. 4c=41.5:

  To find the value of c, divide both sides of the equation by 4:

  4c/4 = 41.5/4

  c = 10.375

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

2. 150c=100:

  Divide both sides of the equation by 150:

  150c/150 = 100/150

  c = 0.6667

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

3. 13.5-c=10:

  Subtract 10 from both sides of the equation:

  13.5 - 10 - c

  3.5 - c

  Rearrange the equation to isolate c:

  -c = -3.5

  Divide both sides by -1 (or multiply by -1):

  c = 3.5

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

4. 6c=9:

  Divide both sides of the equation by 6:

  6c/6 = 9/6

  c = 1.5

  This equation has a solution of c=1.5.

5. 0.2c=0.3:

  Divide both sides of the equation by 0.2:

  0.2c/0.2 = 0.3/0.2

  c = 1.5

  This equation has a solution of c=1.5.

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Answer:

V = 13 65⁄72 ft3

Step-by-step explanation:

V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft

V = 1,001⁄72 ft3

V = 13 65⁄72 ft3

Answer:6 days

Step-by-step explanation:

62-26=36

36/6=

6

Answer:

cos = adjacent/hypotenuse

3/square root13

now you do square root 13 x3 divided by square root 13^2

= 3square root13/13

hope that answers your question

The completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

1. To expand the expression log5(3x 6y) using the product rule of logarithms, we can split it into two separate logarithms using parentheses. The product rule states that log base b of (xy) is equal to the sum of the individual logarithms: log base b of x plus log base b of y. 2. Applying the product rule to log5(3x 6y), we can write it as log5(3x) + log5(6y). The logarithm with base 5 is split into two logarithms: one for 3x and another for 6y. Therefore, the completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

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Answer:

What is the probability of getting a vowel (a success) for the spinner shown?

1/3

Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”

P(3 successes)

Compute P(3 successes) for 5 spins of the spinner

0.165

Step-by-step explanation:

edge 2022

Answer:

6*10^-3  >  5*10^-3

Step-by-step explanation:

\(6*10^{-3}\\6*\frac{1}{10^{3} }\\6*\frac{1}{1000}\\\frac{6}{1000}=\frac{3}{500}=0.006\)

\(5*10^{-3}\\5*\frac{1}{10^{3} }\\5*\frac{1}{1000}\\\frac{5}{1000}=\frac{1}{200}=0.005\)

0.006>0.005, therefore, 6*10^-3>5*10^-3

Our assumption that AC ≤ BC must be false.  To prove that the hypotenuse is the longest side of a right triangle, we will use an indirect proof. We will assume the opposite of what we want to prove and show that it leads to a contradiction.

Assume that AC ≤ BC. This means that the side opposite the acute angle A is shorter than the side opposite the acute angle C.

Now, let's draw a line segment from vertex C perpendicular to AB. This line segment divides the triangle into two smaller triangles, let's call them ΔACD and ΔBCD.

Since the line segment is perpendicular to AB, angle ACD and angle BCD are both right angles. And since angle A is acute, angle ACB must be acute as well.

Now, using the Pythagorean theorem, we can write:
AC² = AD² + CD²
BC² = BD² + CD²

Since AD < BD (because AC ≤ BC), we can substitute BD - AD for BD in the second equation:
BC² = (BD - AD)² + CD²
BC² = BD² - 2AD·BD + AD² + CD²

But now we have a contradiction:
AC² = AD² + CD² < BC² = BD² - 2AD·BD + AD² + CD²

If we simplify the inequality, we get:
0 < BD² - AC² - 2AD·BD

But this cannot be true, because all the terms on the right-hand side are positive (BD > AD, AC < BC, and both sides are squares). Therefore, our assumption that AC ≤ BC must be false.

We have proven that the hypotenuse is the longest side of a right triangle.

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Answer:

Step-by-step explanation:

The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5

The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6

If we add -3 + (-2) ; we have,

-3-2 = -5

Now the factorization of

x² - 5x + 6 = 0 is as follows.

x² - 3x - 2x + 6

By factorization,

x(x - 3) - 2 (x - 3) = 0

(x - 2) or  (x-3) = 0

Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.

Hint:

Let represent ,

1   =   x² tile

-5 = - x tiles

6  =  1 tiles

Answer:

The answer is the first tile choice.

Step-by-step explanation:

Answer:

A: 96 B:192 C:288

Step-by-step explanation:

3+2+1=6

Divide 576 by 6 to get 1/6, you will get 96.

so 96 is the area of the dining room.

Multiply 2 times 96, since that would be 2/6.

That would be 192.

So 192 would be the area of the kitchen.

Here's a trick: all you need to do is add 96 and 192 now (or multiply 96 by 3), because that is half of the areas, 3/6.

So 96 times 3 is 288.

The living room is 288.

To check our work, we can add 288 by 96 by 192.

We would end up with 576, which was our original number.

So 288:192:96.

The percentage by which the price of the car went up from the original price is 60% (third option)

The first step is to determine the price of the car after the percentage increase. Percentage is the fraction of a number as a value out of 100. The sign that is used to represent percentage is %.

Price of the car after the percentage increase = (1 + percent increase/100) x original cost of the car

Price of the car after the percentage increase = (1 + 20/100) x 20,000

Price of the car after the percentage increase = (1 + 0.2) x 20,000

Price of the car after the percentage increase = 1.2 x 20,000 = $24,000

Price after the $8,000 increase = $24,000 + 8,000 = $32,000

Percentage of the original price = (32,000 / 20,000) - 1 = 0.60 = 60%

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Answer: 81 miles

Step-by-step explanation:

From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.

The measurement that is closest to the number of miles between the two towns goes thus:

Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:

= 130/8

= 16.25

Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:

= 16.25 × 5 miles

= 81.25 miles

= 81 miles

The correct response is B. Because respondents were self-selected, the findings cannot be extrapolated to the general population.

All citizens of a country, whether they live there permanently or are only passing through, are considered to be part of the "population." Regularly, this indicator shows the local population in a specific location. Growth rates are the yearly changes in population brought on by births, deaths, and net migration. The complete student body at a school is an illustration of a population. At the time of data collection, it would include every student enrolled in that institution. Each of these pupils' data is gathered, depending on the issue statement. Whether they are a part of a nation or a group of people who share a given quality, all of the individuals in a group are considered to be a population.

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Answer:

ok it is very hard question

Answer:

see explanation

Step-by-step explanation:

(10)

(a)

The opposite sides of the rectangle are equal, then perimeter P is

P = 2(4p - 6) + 2(p + 13) ← distribute parenthesis and simplify

  = 8p - 12 + 2p + 26

  = 10p + 14

Given P = 84 , then

10p + 14 = 84 ( subtract 14 from both sides )

10p = 70 ( divide both sides by 10 )

p = 7

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

(b)

The area (A) of the shaded region is calculated as

A = area of rectangle - area of triangle

area of rectangle = (4p - 6)(p + 13) ← expand using FOIL

                             = 4p² + 46p - 78 ← substitute p = 7

                            = 4(7)² + 46(7) - 78

                            = 4(49) + 322 - 78

                             = 196 + 244

                             = 440 cm²

area of triangle = \(\frac{1}{2}\) bh

                          = \(\frac{1}{2}\)( 3p - 3)( p + 13) ← substitute p = 7

                          = \(\frac{1}{2}\)(3(7) - 3)(7 + 13)

                          = \(\frac{1}{2}\)(21 - 3)(20)

                         = \(\frac{1}{2}\) × 18 × 20 = 9 × 20 = 180 cm²

Then

A = 440 - 180 = 260 cm²

(11)

pole B = \(\frac{1}{2}\) × 72 = 36

pole A = \(\frac{5}{6}\) × 36 = 5 × 6 = 30 m

Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

320/8=40

Answer:

3:50 P.M.

Step-by-step explanation: 3 * 10 = 30 minutes

4:20 - 30 = 3:50

Answer:

$63.3

Step-by-step explanation:

You buy a 60 dollar watch.

60

There is a 6 percent tax. When adding tax, multiply the 6 percent by the original amount.

60 x 0.06

3.6

Add the tax to the original amount.

60 + 3.6 = 63.3

So, your total cost is 63.3 dollars.

Answer:

$63.60

Step-by-step explanation: