Convert 5pi/7 radians to degrees.

(Use pi = 3.14 when necessary and round your final answer to the hundredths place.)

5pi/7radians=________ degrees

Answers

Answer 1

well, since we know there are 180° in π/2 radians, then, what's 5π/7 radians?

[tex]\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\frac{\pi }{2}\\[1em] d&\frac{5\pi }{7} \end{array}\implies \cfrac{180}{d}~~ = ~~\cfrac{\frac{\pi }{2}}{ ~~ \frac{5\pi }{7} ~~ }\implies \cfrac{180}{d}=\cfrac{\pi }{2}\cdot \cfrac{7}{5\pi } \\\\\\ \cfrac{180}{d}=\cfrac{7}{10}\implies 1800=7d\implies \cfrac{1800}{7}=d\implies 257.14^o\approx d[/tex]


Related Questions

Evaluate the function graphically.
Find f(-1)

Answers

The required value of the given function f(-1) is 2.

What is a function?

Exactly one value from the set of second components of the ordered pair is connected with each value from the set of first components of the ordered pairs in a relation known as a function.

For the given graph,

For x = -1, the exact y value will be 2.

So, f(-1) = 2

Hence, the required value of the given function f(-1) is 2.

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Determine whether each ordered pair is a solution of the given linear equation.
2x + 7y = 16;
a. (9,1)
b. (8,0)
c. (0,0)

Answers

Answer:

A. No

B. Yes

C. No

Step-by-step explanation: To determine if each pair is a solution to the equation, substitute the x and y variables in the pairs for the corresponding variables in the equation. If the left and right sides are equal once you solve, you will know that the pair is a solution,

(9,1)   2(9)+7(1)=16    18+7=16    25=16    No

(8,0)    2(8)+7(0)=16    16+0=16    16=16    Yes

(0,0)    2(0)+7(0)=16    0+0=16    0=16    No

Kira wants to attend a college that will cost her $14,800 for the first year. To pay for it, her aunt gave her a special gift of $10,000 . Kira is also going to start saving $100 per month. How many years will it take Kira to save enough for the first-year cost?

Answers

It will take her 4 years to save. You would do 14,800 - 10,000 to find how much money Kira needs. If she’s saving $100 per month you do 4,800 divided by 100 which is 48 months. You’re trying to find years so you divide 48 divided by 12 to get 4 years

I need help please ??? ASAP???! And what can I write ?? thank you so much!

Answers

Answer:

You need to multiple

Step-by-step explanation:

which expressions are equivalent to 5x + 6y - 3x

Answers

Step-by-step explanation:

The expression 5x + 6y - 3x is equivalent to:

2x + 6y

This is because 5x and -3x can be combined by adding them together, which gives 2x.

The expression 5x + 6y - 3x is also equivalent to:

x + 6y - 3x

This is because 5x and -3x can be combined by adding them together, which gives x.

However, the expression 5x + 6y - 3x is not equivalent to:

2x - 3y

This is because the coefficient of the y term is 6, not -3.

The expression 5x + 6y - 3x is also not equivalent to:

x + y

This is because the coefficient of the y term is 6, not 1.

twice the sum of the number and negative seven is eight. Find the number. Round your answer to the nearest integer, if necessary

Answers

The number that twice the sum of it and negative seven is eight is 11.

How to find the number ?

Twice the sum of the number and negative seven is eight. The number can be found as follows:

let

the number  = x

According to the word expression, twice the value of  the addition of x and minus seven is equals to 8. Hence, we will find the value of x in the equation formed from the words expression.

The variable x is the required number.

Therefore,

2(x + (-7)) = 8

2(x - 7) = 8

open the brackets

2(x - 7) = 8

2x  - 14 = 8

add 14 to both sides of the equation

2x  - 14 = 8

2x  - 14 + 14 = 8 + 14

2x = 22

divide both sides by 2

x = 22 / 2

x = 11

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A clothing designer is selecting models to walk the runway for her fashion show. The clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. Which graph could be used to determine the possible variance levels that would result in an acceptable height, x?

Answers

The graph that could be used to determine the possible variance levels that would result in an acceptable height is the third graph.

How can one depict the graph?

Fron the information, the required model height for the designed clothes should be less than or equal to 5 feet 10 inches. In this case, the equation for the variance in height is of the straight line form;

y = m·x + c

Where x is the height  in inches

Given that the maximum height allowable is 70 inches, when x = 0 we have;

y = m·0 + c = 70

Therefore, c = 70

Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1

The equation becomes;

y ≤ x + 70

Also when x > 70, we have y ≤ -x + 70   with a slope of -1

In this case, to graph an inequality, we will need to shade the area of interest which in this case of ≤ is on the lower side of the solid line.

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Hannah wants to have $ 6500 to help pay for a new deck in 16 years. If she wants to put her money into an account earning 4.75% interest compounded continuously, how much should she invest now, so that she will have $ 6500 in 16 years?
Payment amount =

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6500\\ P=\textit{original amount deposited}\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ t=years\dotfill &16 \end{cases} \\\\\\ 6500=Pe^{0.0475\cdot 16} \implies \cfrac{6500}{e^{0.0475\cdot 16}}=P\implies 3039.83\approx P[/tex]

PLEASE HELP ME!!! I WILL GIVE BRAINLIST!!!PLEASE

Answers

Answer:  D. A'(-5,10)   B'(-1,10)   C'(-1,7)   D'(-5,6)

Step-by-step explanation:

A(-5,5)  B(-1,5)  C(-1,2)  D(-5,1)

A'(-5,5+5)   B'(-1,5+5)   C'(-1,2+5)   D'(-5,1+5)

A'(-5,10)   B'(-1,10)   C'(-1,7)   D'(-5,6)

x-6/2 = 10 help again pls

Answers

Answer:

30

Step-by-step explanation:

get the x by itself on one side to solve

x-6/2=10

multiply both sides by 2 and divide by 6 which cancels out s x is by itself

x=10*6/2

simplify

x=60/2

x=30

Answer:

x = 13

Step-by-step explanation:

Given equation,

→ x - (6/2) = 10

Now the value of x will be,

→ x - (6/2) = 10

→ x = 10 + (6/2)

→ x = 10 + 3

→ [ x = 13 ]

Hence, the value of x is 13.

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.

Which equations could you use to find the price of one tire patch? Select all that apply.
4x – 1.9 = 22.2
4x – 22.2 = 1.9
4x + 1.9 = 22.2
4x + 22.2 = –1.9
22.2 – 4x = 1.9

Answers

Answer:

he paid 20.20 for the patch

Answer:

The equation could you use to find the price of one tire patch select all that apply 4x + 1.9 = 22.2 and 22.2-4x= 1.9

For the story problem below, make sure you have a
representation (circles), an answer and a number sentence.
I have 20 chocolate chip cookies that I want to put onto
plates. I can fit 4 cookies on each plate. How many plates
How many plates
will I need? Need help really please

Answers

20 divided by 4 which would equal 5 plates

Y varies directly as x and inversely as the square of z.y=8 when x=25 and z=5. Find y when x=2 and z=6

Answers

The value of y when x = 2 is 16/25 and when z = 6 is 200/36

What is proportionality constant?

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Given that, Y varies directly as x and inversely as the square of z and y=8 when x=25

That means, y ∝ x and y ∝ 1/z²

Let  constant of proportionality be k, then,

y = kx and y = k/z²

Now, finding k, when x = 25

8 = k25

k = 8/25

For x = 2,

y = 8/25X2

y = 16/25

Finding k when y = 5

8 = y/25

y = 200

Now, when z = 6

y = 200/36

Hence,  The value of y when x = 2 is 16/25 and when z = 6 is 200/36

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Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, 5).
The function h(x) is increasing on the interval (5, ∞).
The function h(x) is decreasing on the interval (–5, ∞).
The function h(x) is decreasing on the interval (–∞, –5).

Answers

Answer:

B

Step-by-step explanation:

x -5 ≥ 0

x ≥ 5

the function exists only in the interval [5, +oo) and it keeps growing

In this problem, assume that the effect of friction can be discounted. (Remember to include the unit in the answer.)



Referring to the above diagram, how high will the ball rise on the right-hand incline?

Answers

The ball will rise 15 cm height on the right-hand incline when friction is discounted.

What is friction?

The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.

Given that,

The height of the ball  = 15 cm

Since, the friction force is not counted here, this implies that there will be no friction force to stop the object.

 

The rise of the height on the right-hand incline will be same to the initial height.

Therefore, the ball will rise 15 cm height on the right-hand incline.

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Given: Given: 2 < a < 5, 3 < b < 7

Find: A-b

Answers

Using simple mathematical operations, we know that a-b can be -1, -2, and 0.

What are mathematical operations?

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

Parentheses, Exponents, Multiplication, Division, and Addition Subtraction are also known as PEMDAS (from left to right).

So, we have: 2 < a < 5, 3 < b < 7

Now, a - b will be:

the values of a can be 3 and 4

Similarly, the value of b can be 4 and 5.

So there are 4 possibilities as shown:

3 - 4 = -1

3 - 5 = -2

4 - 4 = 0

4 - 5 = -1

Therefore, using simple mathematical operations, we know that a-b can be -1, -2, and 0.

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What is the answer to this?

Answers

Ms. Dodd’s table
Because when you multiply 3 by 12, you get 36, but when you multiply 4.5 by 12, you do not get 81
Mr dod’s table
explanation : i did. the math

A. BD bisects AC
B. Triangle ABC is isosceles
C. BD is the perpendicular bisector of AC
D. AD=12

Answers

Choices B, C and D are required answer choices.

What is an isosceles triangle?

Any triangle with two equal sides and angles with equal measures on opposite sides is said to be an isosceles.

Based on the given diagram,

BD is perpendicular to AC because the given angle D is 90 degrees.

And, AD = DC (Given)

or, 4x = x + 9

or, 4x -x = 9

or, 3x = 9

or, x = 3

Then, AD = 4x = 4*3 = 12

And, AB = BC

So, the two sides of a given triangle are equal to each other.

Then, triangle ABC is an isosceles triangle.

Based on the above calculation and data, we can conclude that

Hence, Choices B, C and D are required answer choices.

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Complete Question,

John earned $45.90 during the summer break. He used of the money to buy trading cards. Then, he used of the remaining amount to buy a sketchbook, and also spends $4.50 on comic books.

How much money does John have left after these purchases?

Answers

Answer:

Not possible with given

Step-by-step explanation:

If Bobby takes out a mortgage for 30 years at an interest rate of 4% and his monthly repayments are $835.48 , what is the principal loan amount?

Answers

When Bobby takes out a mortgage for $30 years at 4% interest with $835.48 in monthly payments, the total principal loan amount is $255644.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Here,

The interest paid per month=$835.48

Interest paid in 30 years=835.48*12*30

Rate of interest=4%=0.04

Time=30 years

Principal=I/RT

=(835.48*30*12)/(0.04*30)

=$250644

The principal loan amount is $250644 when Bobby takes out a mortgage for 30 years at an interest rate of 4% and his monthly repayments are $835.48.

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a line passes through the point (-9,-8) and has a slope of 2/3
. Write a equation in slope intercept form for this line

Answers

Answer:

y=2/3x-2

Step-by-step explanation:

The equation is y = mx + b and m is the slope. You were already given the slope and you were even given a point. All you have to do is graph the point and use the slope until it intercepts the y-axis.

1. Plot the point (9,-8)

2. Go up 2, left 3 spots until the line hits the y-axis (the vertical one)

3. That point is what b will be equal to in y = mx + b

OR you can convert a point-slope equation into slope intercept

1. The formula for point slope is y – y1 = m(x – x1)

2. Plug in the given numbers and it will look like this: y+8=2/3(x+8)

3. Do the math and get a solution of y=2/3x-2

Insert a monomial such that each expression can be rewritten as the square of a sum or the square of a difference.

36-12 x+
36-12 x+

Answers

The monomial that completes the expression is x²

How to determine the monomial that completes the expression?

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

36 - 12x + ...

Complete the expression with a variable

So, we have

36 - 12x + y

Rewrite as

y - 12x + 36

The given terms of the expression are factors of 6

By trial and error, we make use the following representation

y - 12x + 36 = (x - 6)²

Expand the expression

y - 12x + 36 = x² - 12x + 16

Evaluate the like terms

y = x²

Hence, the monomial is x²

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Calculate the distance between the points P=(0, 1) and J=(4, -2) in the coordinate plane. Give an exact answer (not a decimal approximation).​

Answers

Using the distance formula, [tex]JP=\sqrt{(0-4)^2+(1-(-2))^2}=\boxed{5}[/tex]

Answer the following.
Sukina wants to paint her dog's kennel a new colour.
Look at the diagram of the kennel.
What is the surface area she needs to cover if she paints
only the 4 walls of the kennel?
cm²
150cm
200cm
125cm

Answers

Answer:

200 b/c she will use 50cm² by Wall :)

If n = 19,
¯
x
= 36, and s = 2, construct a confidence interval at a 99% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.

<
μ

Answers

The three decimal places are :28.288< μ < 43.712

What is meant by normally distributed population?A normal distribution is one in which the values are evenly distributed above and below the mean. A population has a perfectly normal distribution if the mean, mode, and median are all equal. The mean, mode, and median for a population of 3,4,5,5,5,6,7 are all 5. The normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, indicating that data near the mean occur more frequently than data far from the mean.

degree of freedom = 17-1 = 16

critical t value = 2.1199

lower limit = 36-2.1199*15/sqrt(17) = 28.288

Upper limit = 36+2.1199*15/sqrt(17) = 43.712

Answer:28.288< μ < 43.712

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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 12-x^2. What are the dimensions of such a rectangle with the greatest possible area?

Answers

Answer:

if the base is on the x-axis, the width of the rectangle is = xif the height is based on the parabola, the length = 7-x^2

the area of a rectangle = length * width

thus, area = x*(7-x^2)= 7x-x^3

in order to maximize the area, you would need to take the derivative of the area and set it equal to 0

Area = 7x-x^3Area' = 7 - 3x^2

7-3x^2 = 0thus, x = 1.5275

this x represents the x needed to create the largest possible area with the given parameters.

Thus:Width (x-axis) = 1.5275Length (y-axis) = 7 - (1.5275)^2 = 4.6667

Emma needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a radius of 5 feet. What is the volume of her storage tank?

Answers

Answer:

785.4 cubic feet

Step-by-step explanation:

Step 1: Start by calculating the area of the base of the storage tank. The area of a circle is calculated by: A = π*r², where r is the radius of the circle.

Step 2: For Emma’s cylindrical storage tank, the radius of the base is 5 feet. Substitute this value in the formula and calculate the area of the base, which is equal to: A = π*5² = 78.54 square feet.

Step 3: Now we need to calculate the volume of the cylindrical storage tank. The volume of a cylinder is calculated by: V = π*r²*h, where r is the radius of the circle and h is the height of the cylinder. For Emma’s tank, the height is 10 feet. Substitute these values in the formula and calculate the volume, which is equal to: V = π*5²*10 = 785.4 cubic feet.

Step 4: Therefore, Emma’s cylindrical storage tank has a capacity of 785.4 cubic feet.

If you have any additional questions or need further assistance, please let me know.

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?

Answers

When the number of machines increased by factor 2 the order would have been finished in 11 hours,

Given that,
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Number of hours as of the current number of working machines = 22
The number of machinery now doubled so working hours = 22 / 2 = 11 hours.

Thus, When the number of machines increased by factor 2 the order would have been finished in 11 hours,

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let be the amount of coffee (in ounces) that an undergraduate student at uiuc drinks per day. suppose we know that has a mean of 10 oz and a standard deviation of 5.2 oz. suppose there are 120 students in stat 107. assuming stat 107 students are a random sample, calculate the standard error of the average amount of coffee a stat 107 student drinks per day . is greater than 12.7 oz.

Answers

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

What is standard deviation?

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ[tex]\sqrt{n}[/tex]}/σ])

                        = P (z > [{12.7 - 10[tex]\sqrt{120}[/tex]}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

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9. A bag contains marbles: 5 purple. 6 blue. 8 yellow. 1 green. You will draw a
marble, put it back, and then draw another. What is the probability that you will
draw a purple and a green? Make sure to simplify your answer. SHOW YOUR
WORK.

Answers

The probability of drawing purple and green marbles will be 1/80.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Number of purple marble = 5

Number of green marble = 1

Total marble = 5 + 6 + 8 + 1 = 20

Probability drawing a purple marble = 5/20

Probability of drawing a green marble = 1/20 (because the number of marble remain the same)

Probability of drawing a purple and green = 5/20 x 1/20 = 1/80

Hence "There is a 1/80 chance of drawing purple and green marbles.".

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