The diameter of a circle is m. What is the area

Answers

Answer 1

Answer:

[tex] (\frac{{m}^{2} }{4} )\pi[/tex]

Step-by-step explanation:

we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)

the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)

this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π

that is the answer

- kan academy advance


Related Questions

Coach Sloan is responsible for recruiting male athletes to join the European
Masters track and field team. To improve his recruitment strategies, he wants to
investigate the connection between an athlete's height and 3000-meter run time.
Coach Sloan has recorded the heights of the men on the track and field team (in
centimeters), x, and their best 3000-meter times (in minutes), y.
The least squares regression line of this data set is:
y = -0.081x + 21.412
How quickly does this line predict a man who is 166 centimeters tall would run the 3000-
meters?
Round your answer to the nearest thousandth.
minutes

Answers

Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.

What does the line of best fit gives?

It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:

y = -0.081x + 21.412.

Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.

y = -0.081(166) + 21.412 = 7.966.

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Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. state your answer as a list with $x$ first and $y$ second, separated by a comma.

Answers

Well, let's use the Euclidean algorithm:

164 = 4×37 + 16

37 = 2×16 + 5

16 = 3×5 + 1

Then working backwards,

1 = 16 - 3×5

1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37

1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37

so that x = 7 and y = -31.

What is the range of the function on the graph?

Answers

Answer:

2

Step-by-step explanation:

because (x,y)=(1,2)

Therefore, domine(d)=(x)=1

And, range(r)=(y)=2

So the ans is 2

Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.

Answers

The graph for Suav's trip is attached along with the values derived from the information provided.

What is the explanation for the graph?

The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.

So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.

It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

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Order the numbers from least to greatest. 0.35, 3/5 , 38%
Least # _________ U, _________ I, _________ N Greatest #

Answers

Answer:

.35 < 38% < 3/5

Step-by-step explanation:

.35 is the same as 35 percent which is less than 38, and 3/5 when divides is .60 turned into percent is 60 percent

Find the greatest common factor of 15x2y³ and -18x³yz.

Answers

Answer:

GCF=3[tex]x^{2}y[/tex]

Step-by-step explanation:

First, take a look at the numbers.

GCF of 15 and -18 = 3

Then, look at the variables.

GCF of (x^2)(y^3) and (x^3)(y)(z) = (x^2)(y)

Lastly, combine the two expressions

GCF = 3(x^2)(y)

Answer: 3(x^2)(y)

Hope this helps!

It’s confusing, would the answer be square root 7 over 4?

Answers

Answer:

[tex]\tan U = 1[/tex]

Step-by-step explanation:

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies UT^2 = UV^2 +VT^2\\\\\implies UV^2 = UT^2 -VT^2\\\\\implies UV^2 = \left(7\sqrt 2 \right)^2 - 7^2\\\\\implies UV^2 = 49(2)-49\\\\\implies UV^2 = 49\\\\\implies UV = \sqrt{49} \\\\ \implies UV = 7[/tex]

[tex]\text{Now,}\\\\~~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan U = \dfrac{7}{7}\\\\\\\implies \tan U = 1[/tex]

a computer purchased for $2 500 and its value depreciates at 5% per month. a).write the equation that models the situation. explain what each equation represent. b) determine the value of the computer after 2 years. c) in which month after it is purchased does the computer's worth fall below $1 000?

Answers

Answer:

a(y=-5x+2500) b(2,380) c(25months)

Step-by-step explanation:

someone point out if I'm wrong. I'm not so sure about "c".

(how I got b)

So 2 years=24 months

y=-5x+2500

So x would be 24.

-5(24)+2500

-120+2500

2,380

5• (4 • x ) simplified

Answers

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

[tex]...[/tex]

what’s the answer to this

Answers

Answer:

Step-by-step explanation:

(2,1) and (4,2) are on the line.

slope

[tex]=\frac{2-1}{4-2} =\frac{1}{2} \\[/tex]

eq. of line is

[tex]y-1=\frac{1}{2} (x-2)\\2y-2=x-2\\2y=x\\or \\x-2y=0\\[/tex]

in slope intercept form

[tex]y=\frac{1}{2} x[/tex]

PLEASE HELP ME!
The dimensions of a rectangular prism are shown below:
Length: 1 1/3 feet
Width: 1 foot
Height: 2 1 /3 feet
The lengths of the sides of a small cube are 1 over 3 foot each.
Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)
Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube.

Answers

#Part A

L=1-1/3=4/3B=1H=2-1/3=7)3

Volume of rectanglular prism

4/3(1)(7/3)28/9ft³

Volume of one cube

side³(1/3)³1/27in³

Total cubes

28/9÷1/2728/9×2728(3)84cubes

#2

Volume=

No of cubes ×volume of 1 cube

84(1/27)28/9in³

Answer:

A)  84 cubes

B)  Volume = 4 x 3 x 7 = 84 small cubes

    [tex]\sf Volume=3 \frac{1}{9}\:\:ft^3[/tex]

Step-by-step explanation:

Part A

As the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:

[tex]\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds[/tex]

[tex]\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds[/tex]

[tex]\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds[/tex]

Now simply multiply the number of thirds:

Number of cubes in prism = 4 x 3 x 7 = 84

Part B

As we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:

⇒ Volume = 4 x 3 x 7 = 84 small cubes

To find the volume of the prism in ft³, calculate the actual volume of the small cube:

[tex]\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3[/tex]

Now multiply the volume in terms of number of cubes by the actual volume of a cube:

[tex]\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}[/tex]

Sally learnt how to fix boxes using nails from her father. 4 nails are needed to set up a box. Sally bought 692 nails and had 200 nails left after setting up some boxes. How many boxes did Sally set up?

Answers

Answer:

Step-by-step explanation:

Answer: 123 boxes

Step-by-step explanation:

Find how many nails she used.

692-200=492

she used 492 nails

we know that 4 nails are needed to set up a box

so we divide.

492/4=123

Sally set up 123 boxes

In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data. you are not required to find the model, just choose the appropriate regression and explain how to use the technology. (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1)

Answers

The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

How to determine the regression equation?

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

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Round 4/15 to the nearest thousandth

Answers

Answer:

0.267

Step-by-step explanation:

4/15 as a decimal is 0.26 repeating so rounded to the nearest thousandth would be 0.267

4(x − 3) + 5x − x² for x = 2

Answers

Answer:

2

Step-by-step explanation:

Start by simplifying the expression:

[tex]4(x-3)+5x-x^2[/tex]

Use distribution:

[tex]4x-4(3)+5x-x^2\\4x-12+5x-x^2[/tex]

Add like terms:

[tex]9x-12-x^2[/tex]

Now, substitute the given value of x into the expression:

[tex]9(2)-12-2^2\\18-12-4\\6-4\\2[/tex]

Answer:

2

Step-by-step explanation:

Given: 4(x − 3) + 5x − x²

x = 2

Substitute 2 for the value of x in the expression and simplify:

➜ 4(2 − 3) + 5(2) − (2)²

➜ 4(−1) + 10 − 4

➜ -4 + 10 - 4

2

Therefore, the value of the expression when x equals 2 is 2.

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Which graph does not represent a function of x?

Answers

c because it does not touch the y axis

Question 5(Multiple Choice Worth 2 points)
(02.04 MC)
For the function f(x) = 3(x - 1)² + 2, identify the vertex, domain, and range.

Answers

Answer:

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range

Step-by-step explanation:

The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.

The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 1)² + 2 ← is in vertex form

with vertex = (1, 2 )

The domain of a parabola exists for all real values of x

domain : x ∈ R

the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.

range : y ≥ 2

NEED HELP FAST! will mark Brain if first! Question 5!

Answers

Answer:

[tex]\boxed{\sf x = 11.7}[/tex]

[tex]\boxed{\sf b = 9.4}[/tex]

Sine Rule states:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(51) = \dfrac{x}{15}[/tex]

[tex]\hookrightarrow \sf x = 15sin(51)[/tex]

[tex]\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7[/tex]

Additional, cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(51) = \dfrac{b}{15}[/tex]

[tex]\hookrightarrow \sf b = 15cos(51)[/tex]

[tex]\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4[/tex]

DO,K = (9, 6) (3, 2) The scale factor is

Answers

Using proportions, it is found that the scale factor of the transformation is of 1/3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

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Type the correct answer in the box.

b
b
In the figure, a square is inside another bigger square.
If a=4 units and b=3 units, the length of the diagonal of the outside square rounded to the nearest tenth is
Inside square rounded to the nearest tenth is
units.
units and the length of the diagonal of the

Answers

Answer:

5.7 and 4.2

Step-by-step explanation:

Outside diagonal = √a² + a² = √4² + 4² = 4√2

= 5.7

Inside diagonal = √b² + b² = √3² + 3² = 3√2

= 4.2

what does it want me to put to 6 decimal places

Answers

They want you to solve the iterative process to a point where the value of x is greater than or equal to 6 decimal places.

What is an iterative process?

An iterative process is a mathematical approach that employs an initial value to build a series of improving estimated solutions for a problem, where the nth-term estimation is generated from the prior ones.

You're required to put the value of x₁ = -1 into the equation:

[tex]\mathbf{x_{n+1}= \dfrac{(x_n)^3-1}{4}}[/tex]

where, [tex]x_1 = -1[/tex]

So;

[tex]\mathbf{x_{2}= \dfrac{(-1)^3-1}{4}}[/tex]

[tex]\mathbf{x_{2}=-0.5}[/tex]

[tex]\mathbf{x_{3}= \dfrac{(-0.5)^3-1}{4}}[/tex]

[tex]\mathbf{x_{3}=-0.28125}[/tex]

[tex]\mathbf{x_{4}=\dfrac{(-0.28125)^3-1}{4}}[/tex]

[tex]\mathbf{x_{4}=-0.2555618286}[/tex]

x₄ ≅ -0.255562  ( to 6 decimal places)

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3500 people attended a baseball game. 1330 of the people attending supported the home team, while 2170 supported the visiting team. what percentage of people attending supported the home team?

Answers

Answer:

38% is your answer boss. hope that helps :)

The percentage of people who supported the home team is 38 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of people attending the baseball game = 3500 people

The number of people supporting the home team = 1300 people

The number of people supporting the visiting team is = 2170

Now , the equation will be

The percentage of people supporting the home team is = number of people supporting the home team / total number of people attending the baseball game

Now , the equation will be

The percentage of people supporting the home team is A = ( 1300 / 3500 ) x 100

The percentage of people supporting the home team is A = 0.38 x 100

The percentage of people supporting the home team is A = 38 %

Therefore , the value of A is 38 %

Hence , The percentage of people who supported the home team is 38 %

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy – 3) x2y2 + 3x2y – 7xy – 27x – 18 (2xy + x + y) and (3xy2 – y) 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2 (x – y) and (x + 3y) x3y + 3x2 + 3x2y2 + 7xy – 6 (xy + 3x + 2) and (xy – 9) x2 – 9y2 (x2 + 3xy – 2) and (xy + 3) (x + 3y) and (x – 3y)

Answers

The products of the polynomials are:

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²(x - y) * (x + 3y) = x² + 2xy + 3y²(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6(x + 3y) * (x – 3y) = x² - 9y²

How to evaluate the products?

To do this, we multiply each pair of polynomial as follows:

Pair 1: (xy + 9y + 2) and (xy – 3)

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

Pair 2: (2xy + x + y) and (3xy² - y)

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

Pair 3: (x – y) and (x + 3y)

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

Pair 4: (xy + 3x + 2) and (xy – 9)

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

Pair 5: (x² + 3xy - 2) and (xy + 3)

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

Pair 6: (x + 3y) and (x – 3y)

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

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13. (a) In any triangle ABC, if C = 300,b= 4, a = 2 find A and B. [3] (b) If a = b = c and a,b,c are in G.P., show that x,y,z are in H.P. [2]

please, solve them ​

Answers

Step-by-step explanation:

oksosjaoqkqeand

[tex]66 \sqrt[3x9 \frac{ \sqrt[xx. \sqrt[36 \sqrt[3136(2 > kaki \: kwl{]{?} ]{?} ]{?} }{?} ]{?} [/tex]

Nine with two make 11

According to this factor tree, which of the following statements is true?

Answers

Answer:

option c

Step-by-step explanation:

a) NOT TRUE

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

3 and 7 are not composite numbers because each of them can only be divided by one and itself

b) NOT TRUE

2 is also a prime number so 3 and 7 are not the only numbers

c) TRUE

All the number listed are prime numbers hence why they are all at the bottom of the tree (only have 1 and itself as factors)

d) NOT TRUE

21 is not a prime number. The number 21 is divisible by 1, 3, 7, 21. For a number to be classified as a prime number, it should have exactly two factors. Since 21 has more than two factors, i.e. 1, 3, 7, 21, it is not a prime number.

NEED HELP QUICK DUE TMR MEAN AND MEDIAN

Answers

For 8. The answer is 5.
9. The answer is 27
10. The answer is 3
And for 11. The answer is 2.

If you want me to explain how I got those answers let me know. Hope this helps.

To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.

Answers

To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and  mean and standard deviation of X  is mathematically given as

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

x= 0.9798

What is a binomial random variable?

Generally, the equation for is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

Therefore, The mean and standard deviation of X

[tex]пВ = np \\np= 6* 0.2 = 1.2\\[/tex]

[tex]x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\[/tex]

x= 0.9798

In conclusion, mean and standard deviation of X

x= 0.9798

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Mrs cunningham wants to use rubber tiles to cover the floor of an indoor playground
what is the unit cost per ruber tile

Answers

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

Which is more, 20 inches or 1 foot?

Answers

Answer:

20 inches

Step-by-step explanation:

there is only 12 inches in a foot

kelly has read 5/6 of a book helen has read 9/12 of the same book who read more of the book?

Answers

Answer:

Kelly has read more of the book

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