PLEASE I NEED HELP ASAP
A circle has a circumference of 21.98 inches. What is the diameter of the circle? (Use

3.14 for )

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is C = 2 * π * r, where r is the radius of the circle. We can find the radius of the circle by rearranging the formula to r = C / (2 * π).

Substituting the given values into the formula, we get:

r = 21.98 inches / (2 * 3.14) = 21.98 inches / 6.28 = 3.50 inches

The diameter of the circle is equal to twice the radius, so we can find the diameter by multiplying the radius by 2:

d = 2 * r = 2 * 3.50 inches = 7.00 inches.

To find the diameter of a circle with a given circumference, you can use the following steps:

Define the formula for the circumference of a circle: The circumference of a circle is given by the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Substitute the given circumference into the formula: If the circumference of the circle is 21.98 inches, we can substitute that into the formula to get 21.98 = 2πr.

Solve for the radius: To solve for the radius, we can divide both sides of the equation by 2π: 21.98 / 2π = r. Using 3.14 for π, this gives us 21.98 / (2 * 3.14) = r, which can be simplified to r = 2.01 inches.

Calculate the diameter: The diameter of a circle is twice the radius, so the diameter can be calculated as 2 * r = 2 * 2.01 = 4.02 inches.

So, the diameter of the circle with a circumference of 21.98 inches is 4.02 inches.


Related Questions


Jesus believes in looking his best when searching for a job. He wants to save $435 for a new suit for his interviews. He currently has $65.00 and he can save $18.00 per week from his work.
How many weeks in total will it take him to save for the suit, assuming he puts the $65.00 into an account on week 1 and starts saving each week thereafter?

Answers

Answer:

6.7 weeks.

Step-by-step explanation:

65.00 x 6.7 = 435.50

Answer:

Step-by-step explanation:

He has $65 on the first week. He’s missing $370. If he can save $18 a week. 370/18 = 20.5. But they’re asking for the total weeks it’ll take. So add the first week. 20.5 + 1 = 21.5

not mine but he did he get it right

Help with these questions Pls?

Answers

Answer:12

Step-by-step explanation:30-6=24

24 divided by 2 =12

12. 30-6=24/2=12 so that would be your answer

Solve for x:
-4x + 2(x+4)= -7x- (x + 1)

Answers

Answer: x = -3/2

Step-by-step explanation:

-4x + 2(x+4) = -7x - (x+1)

-4x + 2x+8 = -7x -x-1

-2x + 8 = -8x - 1

+2x          +2x

8 = -6x - 1

+1           +1

9 = -6x

/-6    /-6

-9/6  = x

-3/2 = x

In the diagram below, point O is the center of the circle.
C
A
(2x+5)°
0
B
Use the given information in the diagram to determine the value of x.

Answers

The value of x for the angle C in the triangle ABC is equal to 42.5

What is a triangle formed by a circle diameter

A triangle formed by the diameter of a circle is a right triangle, with one side being the diameter of the circle and the other two sides being radii of the circle. Since the diameter of a circle bisects the circle into two equal halves, it also bisects the right angle formed by the radii into two equal angles of 45 degrees each.

The angle C is equal to 90° and we shall solve for the value of x as follows:

2x + 5 = 90°

2x = 90° - 5 {subtract 5 from both sides}

2x = 85°

x = 85°/2 {divide through by 2}

x = 42.5

Therefore, the value of x for the angle C in the triangle ABC is equal to 42.5

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angie has reviewed grades of 88, 96, 92, and 93 on her last 4 tests. what grade will she need to receive

Answers

The grades that Angie need to receive in her next test so that her average is 92 is 91.

What is average?

The average is defined as the mean value a given data set. The formula to calculate the mean of a given data set is:

Average = Sum of the observations / Total number of observations

Assume the marks that Angie needs in her next test is represented by x.

Given that Angie has reviewed grades of 88, 96, 92, and 93 on her last 4 tests. Therefore, the grades she need to receive in her next test so her average is 92 is:

Average = Sum of the grades of all test / Total Number of test

92 = (88+96+92+93+x)/5

460 = 369+x

460 - 369 = x

x = 91

Hence, she needs 91 grades in her next test.

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The complete question is:

Angie has reviewed grades of 88, 96, 92, and 93 on her last 4 tests. what grade will she need to receive in her next test so that her average of all test is 92?


The width of a rectangle is fixed at 7 cm. Determine (in terms of an inequality) those lengths for which the area will be
less than 175 cm²

Answers

The lengths for which the area will be less than 175 cm² are less than 25 cm

How to determine the lengths of the areas

From the question, we have the following parameters that can be used in our computation:

Width = 7 cm

Area = Less than  175 cm²

The formula of area is represented as

Area = Length * Width

Using the above as a guide, we have the following:

Length * Width < 175

substitute the known values in the above equation, so, we have the following representation

Length * 7 < 175

Divide by 7

Length < 25

Hence, the length is less than 25

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Please help. Find the output, y When the input, x, is -7.

Answers

The output value of y when input value x is -7:   -6

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check given expression is a function or not we can check it by a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A graph of a function,

And input value x  = -7

output value y = ?

As it can be seen in the graph,

For input value x  = 0

output value of y = -2

Similarly,

for input value x  = -7

It can be seen in the graph that

the value of y = -6

Hence, the value of y is -6

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The velocity v, in meters per second, of a certain type of wave is given by v(h) = 3√h, where h is the depth, in
meters, of the water through which the wave moves. What is the rate of change, in meters per second per meter, of
the velocity of the wave with respect to the depth of the water, when the depth is 2 meters?

Answers

Answer:

The rate of change of the velocity of the wave with respect to the depth of the water is 3/2 meters per second per meter when the depth is 2 meters. This can be found by taking the derivative of v(h) with respect to h, which is 3/2√h. When h is 2, the rate of change is 3/2√2, which is equal to 3/2 meters per second per meter.

A one of a kind necklace is worth $3200. The value of the necklace increases by 9% each year. Which explicit and recursive formulas can be used to model the situation.

Answers

The fomulas of the sequence are a(n) = 3200(1.09)^n-1 and a(n) = a(n - 1) * 1.09

How to determine the fomulas of the sequence

from the question, we have the following parameters that can be used in our computation:

First term, a = 3200

Increment, r = 9%

To find the explicit formula, we can use the formula for compound interest:

a(n) = a * (1 + r)^n-1

So, we have

a(n) = 3200(1.09)^n-1

For the recursive formula, we have

a(n) = a(n - 1) * 1.09

This is because the product of the current term and the incremnt rate gives the next term

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A company is making T shirts. They know that the probability of a shirt being defective is (.02).
The company makes a profit of $20 for every shirt they sell. However, each defective shirt costs
the company $35 in replacement costs. How much money does the company really make per
Shirt?

Answers

The amount of money the company makes per shirt  $18.90

What is probability?

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The chances that event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes

                                 = X/n

To calculate the expected profit per shirt, we need to consider the two possible outcomes:

the shirt is defective or not defective.

If the shirt is not defective, the company makes a profit of $20.

If the shirt is defective, the company incurs a cost of $35 and no profit.

The probability of a shirt being defective is 0.02, so the probability of a shirt not being defective is:

= 1 - 0.02

= 0.98.

Therefore, the expected profit per shirt can be calculated as:

Expected profit = (probability of not defective) x (profit per non-defective shirt)

+ (probability of defective) x (cost per defective shirt)

Expected profit = 0.98 x $20 + 0.02 x (-$35)

Expected profit = $19.60 - $0.70

Expected profit = $18.90

So the company really makes $18.90 per shirt, taking into account the cost of defective shirts.

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What does a rising sequence do in a piece of music?
A. Increases the dynamic
B. Adds drama and tension
C. Decreases the dynamic
D. Decreases the tempo

Answers

B. Adds drama and tension

x/q = -5
solve the equation

Answers

Answer:

It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.

What is the simplest form of

x^2+ 5x-36/
X^2-16


?

Answers

I think (x+9)/
(x+4) is the answer

Claudia is interested in knowing which figure skater competing in the
Olympic Games is most favored to win a gold medal. To sample the
students in her school, she prepares a list of all of the boys and girls in the
school and randomly chooses a sample from each group so that the size of
each group is proportional to the number of boys and girls in the school.
Which sampling method did Claudia use?
OA) simple random sampling
OB) stratified random sampling
OC) systematic random sampling
OD) simple non-random sampling

Answers

Claudia used Stratified Random Sampling (OB).

In stratified random sampling, the population is divided into subgroups (strata) based on a certain characteristic, and a random sample is taken from each stratum. In Claudia's case, she divided the population into two subgroups based on gender (boys and girls), and took a random sample from each group proportional to the number of boys and girls in the school. This method is used when the researcher wants to ensure that the sample is representative of different subgroups in the population.

OD) Is simple non-randon sampling

Step-by-step explanation:

because Claudia randomly choose a sample from each group.

Solve the system by graphing.
a)
y = x
y = 2x+2

Answers

By the given graph we can conclude that the solution of the equation (i.e point of intersection of lines) is (-2, -2).

Solving the system of equations:

To solve the system of equations, graph the given two lines' first equation. Now determine whether the lines are parallel, intersect, or are the same line.

In the next step, we need to Identify the solution to the system.

If the lines are intersected, the point of intersection is the solution.

If the lines are parallel, the system will have no solution.

If the lines are the same or coincident, then the system will have an infinite number of solutions.  

Here we have

y = x  ----- (1)

y = 2x+2 ---- (2)

From (1) and (2)

=> y = 2y + 2

=> 2y - y = -2

=> y = - 2

Hence, the solution of the given system of the equation is (-2, -2)

We can check it by graphing the lines as shown figure.  

Therefore,

By the given graph we can conclude that the solution of the equation (i.e point of intersection of lines) is (-2, -2).

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A road is inclined at an angle of 6 . After driving 4950 feet along this​ road, find the​ driver's increase in altitude.

Answers

The driver increased altitude is 517 feet.

How to find the side of a right triangle?

A right triangle is a triangle with one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the road is inclined at an angle of 6 degrees.  After driving 4950 feet along this​ road, let's find the altitude as follows:

using trigonometric ratios,

sin 6° = opposite / hypotenuse

Therefore,

sin 6° = a / 4950

cross multiply'

a = 4950 sin 6°

a = 4950 × 0.10452846326

a = 517.415893175

Therefore,

a = 517 feet

Altitude = 517 feet

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Find 4 rational numbers between
OR
-1
6
and
5

Answers

Four rational numbers between 1/5 and 1/6 are; 41/240, 42/240, 43/240, 44/240

How to Identify Rational Numbers?

A rational number is defined as a number that can be expressed as the quotient of fraction p/q of two integers, a numerator p, and a non-zero denominator q.

First, we have to make the denominators the same.

We multiply 1/5 by 48 and 1/6 by 40 to get:

48/240 and 40/240

Thus, the other rational numbers between them are;

41/240, 42/240, 43/240, 44/240

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Complete question is;

Find four rational numbers between 1/5 and 1/6 ​

• describe how to use bundled things to explain regrouping in the subtraction problem 231-67. Make math drawings to aid your explanation.

Answers

The information regarding the addition is explained below.

How to explain the addition

Adding 29 + 46:

Student 1: May use the traditional column addition method, lining up the digits in the ones, tens, and hundreds place and carrying over if necessary.

Student 2: May use the breaking apart method, where they break apart the numbers into smaller parts (e.g. 20 + 40) and then add the pieces together.

Student 3: May use a number line, counting up from 29 by the increments of 46 until they reach the sum.

Subtracting 54 - 28:

Student 4: May use the traditional column subtraction method, lining up the digits in the ones, tens, and hundreds place and borrowing if necessary.

Using bundled things to explain regrouping in the addition problem 167 + 59:

First, separate the numbers into bundles of ten.

Next, show how you can regroup the ones as ten ones to make a bundle of ten.

Then add the tens and hundreds place to get the answer 226.

Using bundled things to explain regrouping in the subtraction problem 231 - 67:

First, separate the numbers into bundles of ten.

Next, show how you can regroup the tens as ten tens to make a bundle of a hundred.

Then subtract the hundreds place and the tens place to get the answer 164.

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how can I solve binary operations?​

Answers

Some way to solve binary operations are listed below

How can binary operations be solved

By definition, binary operations involve performing arithmetic operations on two operands in a specific way.

An example of a binary expression is a + b

Where a and b are the operands & + is the operator

Some common binary operations and how to solve them are highlited below

Addition (+): To add two binary numbers, start from the right-most bit and work your way left.  In binary: 1 + 1 = 10Subtraction (-): To subtract one binary number from another, use the same borrowing method as in decimal subtraction.

Other operations are

Multiplication (*), Division (/) and Modulus

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You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.

Answers

The system of linear equations representing the given situation is: 2x + y = 10 and 2x + 3y = 22. Solving this system, we find that it takes 6 minutes to jog around the park.

a. Let's use x to represent the number of minutes it takes to jog around the block and y to represent the number of minutes it takes to jog around the park.

From the problem statement, we know that:

2x + y = 10 (jog around the block twice and the park once in 10 minutes)

2x + 3y = 22 (jog around the block twice and the park three times in 22 minutes)

These are the two linear equations that represent the given situation.

b. We can solve this system of equations to find the value of y, which represents the number of minutes it takes to jog around the park.

We can start by eliminating x from the equations. Subtracting the first equation from the second, we get:

(2x + 3y) - (2x + y) = 22 - 10

2y = 12

y = 6

So, it takes 6 minutes to jog around the park.

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Complete question:

You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes.

a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations:

b. how long does it take you to jog around the park? it takes you minutes to jog around the park.

please help!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

2*(4+7) = ( 2 * 4 ) + ( 2 * 7 )

Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant.

Answers

The intervals of each behavior of the function are given as follows:

a) Increasing: (-∞, -1).

b) Decreasing: (-1, 1).

c) Constant: (1, 3).

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable .

here, we have,

to classify the function as increasing, decreasing or constant:

The function is increasing when the graph moves right and up.

The function is decreasing when the graph moves right and down.

The function is constant when the graph of the function is an horizontal line.

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In the diagram, ACDF∼VWYZ
. Find the value of y.

Answers

The value of the variable y is 3

How to determine the value

From the information given, we have that;

ACDF∼VWYZ

Given that the lengths are;

A= 12CD = 9YW = 6VZ = 3y -1

Since the diagrams are equivalent, then,

A/VZ = CD/YW

substitute the values, we have;

12/3y - 1 = 9/6

cross multiply

3y - 1 = 12(6)/9

divide the values

3y - 1 = 8

collect like terms

3y = 9

Make 'y' the subject

y =3

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PLEASE HELP!!!
A survey was conducted in which the customer service representatives of two companies were rated on a scale of 1 to 6. The graph below shows customer service ratings of 20 representatives. The interquartile range for each company is 3. The difference between the median rating for each company is approximately how many times the interquartile range?

Answers

The difference between the median rating for each company is approximately 0.3 times the interquartile range.

How to calculate the median service rating?

Generally speaking, the median for 20 observations is the average of the 10th and 11th number:

Median rating of Company A = (4 + 4)/2

Median rating of Company A = 8/2

Median rating of Company A = 4.

Median rating of Company B = (3 + 3)/2

Median rating of Company B = 6/2

Median rating of Company B = 3.

Difference in median = 4 - 3

Difference in median = 1

For the required expression that models the difference between the median rating for each company and the interquartile range, we have the following:

1 = 3x

x = 1/3.

x = 0.3

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It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function?
N, = 350,000(0.52)

A.87,500
B.25,591
C.175,000
D.21,875

Answers

25,591 cans are still in use after 4 years of recycling and re-using. The solution has been obtained by using functions.

What is a function?

A function is a connection between a set of inputs and one output for each input. The usual notation for a function is f(x), where x represents the input. Usually, a function is written as y = f(x).

We are given a function as N = 350,000 [tex](0.52)^{t}[/tex]

t is given to be 4 years.

Substituting this in the function, we get

⇒N = 350,000 [tex](0.52)^{4}[/tex]

⇒N = 350,000 * 0.07311616

⇒N = 25,590.6

N = 25,591

Hence, 25,591 cans are still in use after 4 years of recycling and re-using.

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Full question has been attached below

How to show steps upon problem to get answer

Answers

The simplified form of the expression xy( x³y⁵ - x⁷ ) is x⁴y⁶ - x⁸y.

What is the simplified form of the expression?

Given the expression in the question;

xy( x³y⁵ - x⁷ )

To simplify the expression, apply distributive property.

xy( x³y⁵ - x⁷ )

xy( x³y⁵ ) - xy( x⁷ )

xy( x³y⁵ ) - xy( x⁷ )

Multiply xy and ( x³y⁵ )

x⁴y⁶ - xy( x⁷ )

Multiply xy and ( x⁷ )

x⁴y⁶ - x⁸y

Therefore, the simplified form is x⁴y⁶ - x⁸y.

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0
A
B
A"
C'
B'
2. What is the relationship among AC, A'C', and A"C"?
B"

Answers

Relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides

What is Graph?

a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

To widen or enlarge an opening or hollow structure beyond its usual size in simple way changes the the size.

The scale factors is the factor in which each linear measure of the figure is multiplied.

AC is a smaller triangle which is dilated to get A'C' and this A'C' is dilated to get A''C''.

the relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides with a scale factor.

Hence,  relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides

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Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 9 cm and the height is 26.5 cm. Find the volume of the candle. Round your answer to the nearest whole number. Do not type the units in the space below. (Be sure to use the pi button on your calculator to do the calculation.)

Answers

radius = 9 cm

height = 26,5 cm

as we know that

volume of cylinder = πr^2h

= 3,14x9x9x2x26,5

= 13.480 cm cubic

Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge
of the stage, in meters, is modeled by D(t) where t is the time in seconds. The function is
graphed below, along with one segment highlighted.

Answers

The sinusoidal expression of the function is D(t) = -cos(3t)

What is  sinusoidal expression?

A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.

here, we have to,

to determine the sinusoidal expression:

When he pushes off, he is 1 m behind the center.

This means that:

Amplitude, a = 1.

But we use, a = -1 because he is behind

The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).

So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0

Simplify 2π/B = 4 * π/6

2π/B = 2π/3

By comparison, we have:

B = 3

The function is given as:

a cos(Bt) + d

Substitute the calculated values

D(t) = -cos(3t)

Hence, the sinusoidal expression of the function is D(t) = -cos(3t)

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Answer:

period and he completes a swing in ten seconds

How do I simplify this into a radical?

Answers

Answer:

Step-by-step explanation:

To simplify the expression X^(12/7) * Y^(35/7) into its simplest form, we need to find the greatest common divisor (GCD) of the exponents 12/7 and 35/7 and divide both exponents by the GCD. Here's the step-by-step process:

Find the GCD of 12/7 and 35/7. To do this, we'll use the Euclidean algorithm method:

a. Divide the larger number, 35, by the smaller number, 12, and get the remainder: 35 ÷ 12 = 2 with a remainder of 11.

b. Divide the smaller number, 12, by the remainder, 11, and get the quotient and remainder: 12 ÷ 11 = 1 with a remainder of 1.

c. The last non-zero remainder, 1, is the GCD of 12/7 and 35/7.

Divide both exponents by the GCD, 1:

a. X^(12/7) becomes X^(12/7 ÷ 1) = X^12.

b. Y^(35/7) becomes Y^(35/7 ÷ 1) = Y^35.

Replace the original exponents in the expression with the simplified exponents: X^12 * Y^35.

So, the expression X^(12/7) * Y^(35/7) is simplified as X^12 * Y^35, which is written as a single radical in its simplest form.

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ x^{\frac{12}{7}}y^{\frac{35}{7}}\implies \left( x^{12} y^{35} \right)^{\frac{1}{7}}\implies \sqrt[7]{x^{12} y^{35}}\implies \sqrt[7]{x^{7+5} (y^5)^7} \\\\\\ \sqrt[7]{x^7 x^5 (y^5)^7}\implies {\Large \begin{array}{llll} x y^5\sqrt[7]{x^5} \end{array}}[/tex]

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