3. The side of a square is 20 cm long. What is the circumference of the circle when … a. The circle is inscribed within the square?
b. The square is inscribed within the circle?

Answers

Answer 1
Answer:

Answer:

a. 20π cm.

b. 20(√2)π cm,

Step-by-step explanation:

a. The diameter (d) of the circle = side of the square = 20 cm.

So the circumference =  π d = 20π cm.

b. In this case the diameter = the length of the diagonal of the square.

The diagonal = diameter of the circle =sqrt ( 20^2 + 20^2) = √800 = 20√2.

So the circumference = πd = 20(√2)π.

Answer 2
Answer:

what they said above..


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Which graph best represents the following expression? is my answer correct?

Destiny performs a hypothesis test on a population with µ = 115 and mc009-1.jpg. Her sample size is 25 with a mean of 120.4. Which of the following correctly depicts the z-statistic for this data?

Answers

Z-statistic is a statistical technique used to measure and the same time identify the position of a sample mean in the given population. 

Statistics is a branch of mathematics which is the scientific study of mathematical values pertaining to qualitative descriptions and transcribe them into quantifying values such as the descriptive statistics and infuses these quantities in the field of inferential statistics.

Answer:

the answer is b. 0.90

All of the following expressions represent the sum of n and itself, except _____A.) n + n
B.) 2n
C.) n²

Answers

All of the following expressions represent the sum of n and itself, except so option (C) will be correct.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

The expression n + n is the sum of n and n(itself).

The expression 2n = n + n is the sum of n and n(itself).

The expression n² = n × n is the multiplication of two n, not a sum so it will not sum of n and itself.

Hence "All of the following expressions represent the sum of n and itself, except ".

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c. is the correct answer 

What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Answers

y=-3x+8 \n y=-5x-2 \n  \n -3x+8=-5x-2 \n 2x=-10 \n x= (-10)/(2) \n x=-5 \n  \n y=-3(-5)+8 \n y=15+8 \n  y=23\n  \n \boxed{(-5,23)}
y=-3x+8 \n y=-5x-2 \n  \n -3x+8=-5x-2 \n -3x+5x=-2-8 \n 2x=-10 \n x=- (10)/(2)  \n x=-5 \n y=-3(-5)+8=15+8=23  \n \n \boxed{-5,23}

With Ad = vt + at, solve for Ad given that v; =5.4, a = -9.8, and 1 = 3 d. 74

Answers

Hello, I've uploaded the photo with the answer to your question here: https://t.ly/iTbeU

pdcms sold a total of 110 tickets for the school play. an adult ticket is $7 and a student ticket is$4. the school collected a total of $569 how many adults and how many students attended the play

Answers

Let the number of adult tickets be x.
Since there are 110 tickets sold in all, student tickets will be 110 - x.

Cost for adult tickets = 7*x = 7x
Cost for student tickets = 4*(110 -x) = 4*110 - 4*x = 440 - 4x

Total cost = $569

7x + (440 - 4x) = 569

7x + 440 - 4x = 569

7x - 4x = 569 - 440

3x =   129

x = 129/3

x = 43

Recall x is the number of adults tickets = 43

Student tickets = (110 - x) = 110 - 43 =  67

Therefore from the number of tickets sold it is safe to assume that 43 adults and 67 students attended the play. 

HELP!!!!!!!!!!!!!!!!Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used. Complete the table by classifying the polynomials by degree and number of terms.

Answers

2x^(2) is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic. 

-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)

3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.

Finally, -3x^(2) -6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic. 

The complete table by classifying the polynomials by degree and number of terms is

  • 2x² : This is a quadratic equation because be it has a power of 2. It is a monomial because if has just one term, 2x²

  • -2 : A constant because it has no variable. A monomial because it's just one term.

  • 3x - 9: This is a linear equation because be it's highestPower is 1. It is binomial because there are two terms, 3x and -9

  • -3x² - 6x + 9: This is a quadratic equation because it has the highestPower as 2. It is a trinomial because it has 3 terms, -3x², -6x and +9

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