Write an expression to represent a circle's area in terms of its diameter, d .

Answers

Answer 1

Answer:

(d/2)^2 pi

Step-by-step explanation:

To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi.  i hope this helps :)

Answer 2

The circle's area, in function of it's diameter, is given by:

[tex]A = \frac{\pi d^2}{4}[/tex]

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

The area of a circle, in function of it's radius r, is given by:

[tex]A = \pi r^2[/tex]

The radius is half the diameter, thus: [tex]r = \frac{d}{2}[/tex]Replacing [tex]r = \frac{d}{2}[/tex] into the formula for the area, it is possible to find the area as a function of the diameter. Thus:

[tex]A = \pi r^2[/tex]

[tex]A = \pi (\frac{d}{2})^2[/tex]

[tex]A = \pi \frac{d^2}{4}[/tex]

[tex]A = \frac{\pi d^2}{4}[/tex]

Which is the area of a circle of diameter d.

A similar problem is given at https://brainly.com/question/16891462


Related Questions

HELP! The length of a rectangle is 4 meters less than twice it's width. If the area of the rectangle is 96 inches what is the width?

Answers

Answer:

8cm

Step-by-step explanation:

1. x = width

length = 2x - 4

(2x - 4)x = 96

2x ^ 2 - 4x - 96 = 0

x ^ 2 - 2x - 48 = 0

(x + 6)(x - 8) = 0

Since the width cannot be negative, the width would be 8cm.

7x-10+2x=39+2x
what is the answer

Answers

Answer:

X=7

Step-by-step explanation:

STEP 1: Simplify both sides of the equation

7x + -10 + 2x =39 + 2x

(7x + 2x) + (-10) = 2x + 39 (combine like terms)

9x -10 = 2x + 39

step 2: Subtract 2x from both sides

9x -10 - 2x = 2x + 39 - 2x

7x - 10 =39

Step 3: Add 10 to both sides.

7x - 10 + 10 = 39 + 10

7x = 49

Step 4: Divide both sides by 7.

7x/ 7 = 49/7   x=7

hope this helps!!

PLEASE EXPLAIN...WILL MARK BRAINLIEST FOR BEST ANSWER

Answers

Answer:

a(x) = 20 + 0.60xdomain [0, 50]; range [20, 50]maybe

Step-by-step explanation:

a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...

  0.40 × (50 -x)

The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...

  1.00 × (x)

Then after the remove/replace operation, the total amount of acid in the container is ...

  a(x) = 0.40(50 -x) +1.00(x)

  a(x) = 20 +0.60x . . . . . liters of acid in the final mixture

__

b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)

The associated range is 20 ≤ a ≤ 50. (liters)

__

c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.

Which reflection requires a vertical flip?

Answers

Answer:

horizontal flip

Step-by-step explanation:

Answer:

For a vertical flip to happen the reflection must be a horizontal flip.

help solve my problem plsss

Answers

Answer:

21 because 7x3 would give you the value of x

Step-by-step explanation:

Estimate: 4.1 * 7.8 *2.3

Answers

Answer:

4.1 * 7.8 *2.3=73.554

Step-by-step explanation:

4.1

7.8

2.3

73.554

Or use a calculator

what is the value of x and what is the value of y please help ill give u a really good score

Answers

Answer:

bottom lock: 30lb. top lock: 66

Step-by-step explanation:

the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.

(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g(x) going through 0, 2 and 1, 5 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.

Answers

Answer:

They both have the same slope

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

Which list shows the temperatures in order from coldest to warmest in
degrees Fahrenheit?
A) 5°F 0°F - 2°F -9°F
B) 0°F - 9°F - 2°F 5°F
С) -2°F– 9°F0°F 5°F
D) -9°F -2°F 0°F 5°F

Answers

Answer:

d. -9°F -2°F 0°F 5°F

Step-by-step explanation:

-9° is less than -2° which is less than 0° which is less than 5°

what is the equation of the line that passes through the point (-2,0) and has a slople of -2 ​

Answers

Answer:

y= -2x-4

Step-by-step explanation:

[tex] (-2,0) = (x_1,y_1) \\ m = - 2[/tex]

Substitute values into point slope form

[tex]y - y_1 = m(x - x_1) \\ y - 0 = - 2(x - ( - 2)) \\ y - 0 = - 2(x + 2) \\ y - 0 = - 2x - 4[/tex]

[tex]y = - 2x - 4 + 0 \\ y= - 2x - 4[/tex]

GUYS PLEASE HELP ME IM REALLY STUCK

Find the midpoint of the line segment with the following endpoints.

P1:[tex]\left(\frac{9}{2},\frac{3}{8}\right)\\[/tex]

P2:[tex]\left(-\frac{11}{2},\frac{5}{8}\right)[/tex]

Answers

Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

simplify it
1. 30.75
2. 33.25
3. 21.75
4. 26.35
pls show me how to simplify it. clearest gets the crown thingy I forgot the name of​

Answers

Answer:

2. 33.25

Step-by-step explanation:

In order of operations you start with the part of the equation that is in parentheses.  So here you would start with 8.7+4.6. Now whenever there is a number just sitting outside the parentheses, you multiply it by the numbers inside of the parentheses.   So in this case, once you've added 8.7 and 4.6, you multiply your answer by 2.5 (which is outside of the parentheses.  Here is the solving process:

2.5(8.7+4.6)

2.5(13.3)

33.25

Ben earns $12 per hour and get $6 a day for gas. How many hours did he work if he earned $54 in a day?

Answers

Answer:

4

Step-by-step explanation:

$54-$6=$48

$48/4h=12$/h

Answer:

he had to worked 4 hours

is 4/5 a integer natural number rational number or irrational number

Answers

Answer:

Rational number

Step-by-step explanation:

An integer can not be a fraction or decimal.

A natural number is a counting number and fractions are not counting numbers.

Irrational numbers are never ending and can not be written as a simple fraction.

Divide 2 over 3 ÷ 1 over 6 = ____.

Answers

Answer:

2/3÷1/6

=2/3×6

=2×2

=4

Answer:

4

Step-by-step explanation:

To find the answer we need to do KCF

KCF = Keep Change Flip

2/3 x 6/1 = 12/3

Simplified: 4/1

is 787887888.. a rational number?​

Answers

Answer:

kpk

Step-by-step explanation:

knkn

A technical machinist is asked to build a cubical steel tank that will hold 60L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01m.

Answers

Answer:

L= 7.75 m

Step-by-step explanation:

This problem bothers on the mensuration of solids, cube

Step one:

The volume of the tanks will hold 60L of water

hence the volume of the tank is 60L

we know that the expression for the

volume of cube = L*L*L

Volume of cube = L^3

60= L^3

L=  √60

L= 7.7459

To the nearest 0.01m we have  L= 7.75 m

Describe how the blue translated to red. Use coordinate notation to describe how the BLUE preimage translated to the RED image.

Answers

Answer:

(x, y) → (x+3, y-3)

Step-by-step explanation:

From the graph attached,

Let a point on preimage (in blue) is at A having coordinates (1, 2).

Point A has been translated to A'(in red) which has the coordinates (4, -1).

As we can see every side of the polygon are same in length.That means no change in the size of polygon.

Translation rule that defines the image A' from A is,

A(1, 2) → A'(4, -1)

A(x, y) → A'(x+3, y-3)

which statement is an example of the Identify Property of Multiplication

Answers

Answer:

7x7 + 49 so 7+7+7+7+7+7+7

Step-by-step explanation:

Kathy's average score after 3 math quizzes was 83. Her score on the 4th quiz was 87. If all 4 of the quizzes are weighted equally, which of the following is closest to her average score after 4 quizzes?​

Answers

Answer:

84

Step-by-step explanation:

Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.

83+83+83+87 = 336

Divide by the total number of quizzes because they are equally weighted.

336/4 = 84

Her new average score is 84.

Evaluate: x(y - xy), where x = -5 and y= -2

Answers

Answer:

60

Step-by-step explanation:

You would just plug everything in so you get -5(-2-(-5)(-2)) which can be reduced so -5(-12) which is 60

The value of expression x(y-xy) at x=-5 and y=-2 is -40.

What is expression?

An expression is a combination of numbers, symbols ,fraction, indeterminants, coefficients. It is not usually found in equal to form and it is equated to find the value of the expression by putting the value of variables.

How to equate expressions?

We have been given the expression x(y-xy) and we have to find the value at x=-5 and y=-2 and for that we have to just put the value of x and y.

x(y-xy)=-5{-2-(-5*-2)

=-5(-2+10)

=-5*8

=-40

Hence the value of expression x(y-xy) at x=-5 ,y=-2 is -40.

Learn more about expressions at https://brainly.com/question/723406

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Please help me! Whoever answers it correct will get brainliest! To solve the equation x + 7 = 13, A) add 7 to both sides. B) add 13 to both sides. C) subtract 7 from both sides. D) subtract 13 from both sides.

Answers

Answer:

C

Step-by-step explanation:

use inverse operation to solve an equation

x + 7 = 13

x = 6

Wahts the permiter I will mark braknliest

Answers

Answer:

221 cm

Step-by-step explanation:

perimeter = add all sides

P = 56 + 73 + 92

P = 221 cm

Answer:

221 centimeters

Step-by-step explanation:

When you solve perimeter, you add all sides.

92 + 73 = 165

165 + 56 = 221

So, your answer is 221. Hope this helps!

Which term does not belong with the other three? Please help !

Answers

Answer: If I’m not mistaken, I’m pretty sure it’s the second choice.

Step-by-step explanation: From what I can tell, the other three are all similar to each other and the third choice seems to be the odd one out. I hope I was correct!

-(1 - 9x) - 8 helpppp meeeeeee

Answers

[tex]\bf{- (1 - 9x) - 8}\\ \\ \bf\mapsto{ - 1 + 8 = 9x}\\ \\ \bf\mapsto{ 9= 9x }\\ \\ {\underline{\boxed{\bf\mapsto{9x - 9}}}}[/tex]

Select all the true statements about the number

Answers

Answer:

sqrt of 3600 is a perfect square and sqrt of 3600 is a whole number. It is also Rational.

Step-by-step explanation:

We can compute the sqrt of 3600 (60). 60 is a whole number.

As we saw sqrt of 3600 is 60 so it is a perfect square.

60 is also a rational number too.

[tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

What is a number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth.

Now the given number is,

⇒ [tex]\sqrt{3600}[/tex]

So, the square root of 3600 is 60.

Now, since 60 can be expressed in the form of a/b.

Thus [tex]\sqrt{3600}[/tex] is a rational number.

Since, [tex]\sqrt{3600} = [\sqrt{60} ]^2[/tex]

Thus, [tex]\sqrt{3600}[/tex] is perfect square.

Since, [tex]\sqrt{3600} =60[/tex]

Thus it is a whole number.

Therefore we can conclude that [tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

To learn more about numbers :

https://brainly.com/question/3589540

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On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 2°F on Sunday.
What was the temperature on Sunday? How did the temperature change?
Pls help who ever gets the right answer I will mark as branliest.

Answers

The temperature went down 2 degrees on Saturday and then wen up 2 degrees on Sunday -2 £ 2 = 0 , which means the temperature in Sunday was the same temperature as it was on Friday.

82 degrees.

You know that a rope is no more than 150 feet long. You need to cut the rope into 3 pieces.
The second piece is to be twice as long as the 1s piece, and the third piece must be 30 feet long.
What is the maximum length of the 2nd piece?

Answers

Answer:

80 ft

Step-by-step explanation:

hey there,

< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.

Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.

We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >

Hope this helped! Feel free to ask anything else.

Solve the formula a(m-r) + t =s for a.

Answers

Step-by-step explanation:

pls make me as brainliest

Answer:

a=s-t/m-r

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

solve for x
x − 13 = 6x

x =

Answers

Answer:

The correct answer is x = -13/5.

Step-by-step explanation:

To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.

First, we should subtract x from both sides to cancel out the positive x on the left side of the equation.  This is modeled below:

x - 13 = 6x

x - x - 13 = 6x - x

- 13 = 5x

Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.

-13/5 = 5x/5

-13/5 = x

Therefore, your answer is x = -13/5.

Hope this helps!

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