What is the exact area of a circle with a diameter of 20 cm?

Answers

Answer 1

Answer:

314 cm^2

Step-by-step explanation:

pi(r^2)

r= d/2

pi= 3.14

3.14(10^2)

3.14(100)

314

Answer 2

Answer:

  100π cm^2

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr^2

where r represents the radius, which is half the diameter. For a circle of radius 10 cm, the area is ...

  A = π(10 cm)^2 = 100π cm^2


Related Questions

write the prime factorization of 363 using exponents. the prime factorization is

Answers

um you need to be more specific on the question bud

Answer: The prime factorization is 3*11*11.

Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 minutes and 8 seconds. Who has the faster rate? Explain your reasoning.

Answers

Answer:

Casy

Step by step explanation:

You divide the miles by their time

It took Jessica 6 minutes and .03 seconds to finish a mile

It took Casy 5 minutes and 54 seconds to finish a mile

Casy is .09 Seconds quicker than Jessica

what is the probability of rolling a three on a fair die

Answers

Answer: 1:6 or 1/6

Step-by-step explanation: there are 6 possible numbers you could roll on a fair die, so rolling a three would be 1:6

Answer:

3/36  (8.333%)

Step-by-step explanation:

Hope this helps!

Evaluate the expression. 34 -8 - 14 + 2 + 5​

Answers

Answer:

            About 20

           {19 exactly}

Step-by-step explanation:

Evaluate means find approximate value without exact calculation (usually done with great numbers or with fractions)

-8 is approximately -(2+5) so the sum is about 0

34-14 = 30-10 = 20

20 + 0 = 0

The exact calculation would be:

34 -8 - 14 + 2 + 5 = 34 - 14 - 8 + 7 = 20 - 1 = 19

Translate this phrase into an algebraic expression.
40 less than twice Jenny's height
Use the variable j to represent Jenny's height.

Answers

Answer:

j(2) - 40

Step-by-step explanation:

When x=3 ,y=16 and when x=6 y=8. Which inverse variation equation can be used to model this function?

Answers

Answer:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

When x = 3, y = 16

When x = 6, y = 8

We need to model the inverse variation.

Inverse Variation : When one value increase another value decrease. But product of both always constant.  

[tex]xy=k[/tex]

when x=3, y=16

k=48

When x=6, y=8

k=48

Model of the inverse variation:

[tex]y=\frac{48}{x}[/tex]

Hence, The model of inverse variation is

[tex]y=\frac{48}{x}[/tex]

Answer:

The inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.

The inverse function describing the relationship between x and y is as follows:

[tex]y=\frac{a}{x}[/tex]

Here, a is a constant.

It is provided that when the value of x is 3 the value of y is 16.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]16=\frac{a}{3}\\\\[/tex]

[tex]a=48[/tex]

It is also provided that when the value of x is 6 the value of y is 8.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]8=\frac{a}{6}\\\\[/tex]

[tex]a=48[/tex]

The value of a is 48.

Then the inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has.

Answers

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...​

Answers

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

Multiply and divide from left to right

56+120 ÷7*5

56+ 600/7

Get a common denominator

392/7 + 600/7

992/7

Change from an improper fraction to a mixed number

141  5/7

Answer:

    416                    3

=  --------    or   59 ----

       7                     7

Step-by-step explanation:

8c + 10b ÷ 7a

if c = 7, b = 12, and a = 5

plug in values:

= 8(7) + 10(12) ÷ 7(5)

= 56 + 120 / 35

= 56 + 24/7 ---- convert into factions

  56 * 7      24

=  --------  + ------

        7         7

sine the denominator are equal, combine the fraction

    56 * 7 + 24

=  -----------------

             7

    416                    3

=  --------    or   59 ----

       7                     7

I NEED THIS ANSWER ASAP!!!! John painted his most famous work inhis country, in 1930 on composition board with perimeter 108.39 in. If the rectangular painting is 5.89 in. taller than it is wide, find the dimensions of the painting. What is the width?

Answers

Answer:

25.15 in

Step-by-step explanation:

let's say that x = wide

so x+5.89=length

the perimeter is = 2(width +length)

P=2(x+x+5.89)

108.39=2(2x+5.89)

2x+5.89=54.195

2x=48.305

x=24.1525 in

which is 24.15 in

what is this: 9/5 - 1/3

Answers

Answer:

22/15 in fraction 1 7/15

Step-by-step explanation:

Answer:

___________

Exact Form:

22 / 15

Decimal Form:

1.46 continuous

Mixed Number Form:

1 7/15

To write 9/5 as a fraction with a common denominator, multiply by 3/3

9/5 x 3/3 - 1/3

To write −1/3  as a fraction with a common denominator, multiply by 5/5.

9/5 x 3/3−1/3 x 5/5

Write each expression with a common denominator of 15, by multiplying each by a factor of 1

Multiply 9/5 and 3/3

9 x 3/5 x 3 - 1/3 x 5/5

Multiply 5 by 3

9 x 3/15 − 1/3 x 5/5

Multiply 1/3 and 5/5

9 x 3/15 − 5/3 x 5

Multiply 3 by 5

9 x 3/15 − 5/15

Then combine the numerator over the common denominator

9 x 3 - 5 / 15

then simplify the numerator

mutiply 9 by 3

27 - 5/15

subtract 5 from 27

22/15

PLEASEEE HELP MEEE!! I DONT UNDERSTAND AT ALL!!

Answers

Domain: (-∞,∞)

Range: (3,∞)

x-intercepts: none

y-intercepts: (0,7)

Interval positive: (3,∞)

Interval negative: none

Interval increasing: (7,∞)

Interval decreasing: (-∞,7)

I'm not sure what the average rate of change over is though.

What is f(x) type in the number
X=3
F(x) =-2x+4
F(x)=

Answers

Answer:

10

Step-by-step explanation:

10. ................ ..........

4m-3/4=-9+4m/8 this is my question that i need help with

Answers

Answer:

The answer is -2 5/14 if you're trying to solve for m

Step-by-step explanation:

first you get rid of the fractions by mutiplying both sides by 4.

4(4m-3/4)=(-9+4m/8)4

16m-3=-36+2m      then you put the varible terms on one side and the numbers on one side

14m=-33

then divide -33 by 14

which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36

Answer:

[tex]m=-\frac{33}{14}[/tex]

Step-by-step explanation:

[tex]4m-\frac{3}{4}=-9+\frac{4m}{8}[/tex]

[tex](4m-\frac{3}{4})8=(-9+\frac{4m}{8})8[/tex] multiply by 8 to get rid of the largest denominator

[tex]32m-\frac{24}{4}=-72+4m[/tex]

[tex]32m-6=-72+4m[/tex]

[tex]32m-4m=-72+6[/tex] Rearrange the equation and Collect like-terms

[tex]28m=-66[/tex]

[tex]m=-\frac{66}{28}[/tex] simplify

[tex]m=-\frac{33}{14}[/tex]

The step function f(x) is graphed.
What is the value of f(0)?
-2
-1
0
1

Answers

Answer:

The value of f(0) is Option (A) : - 2

L and Y are located on L ( -7, 0) , Y ( 5, 9 ). what is the distance between L and Y?​

Answers

Answer:

The distance between L and Y is 15

Calculate the output for f(x) = 3x-1 when the input is x=14

Answers

Answer:

41

Step-by-step explanation:

3(14)-1

42-1

41

Answer:

41

Step-by-step explanation:

Just plug 14 in and don't worry about f(x).

f(x)= 3(14)-1


#1) Select the lie from the dropdown below.
A)
All real numbers are
whole numbers.
B)
All whole numbers are
real numbers
C)All integers are rational
numbers.
Int.

Answers

Answer:

A

Step-by-step explanation:

Think of this always

Whole Numbers > integers > rational numbers > Real numbers

Not all real numbers are whole numbers. It could be and integer like 1.5 which is a real number but not a whole number. So A is lying.

Answer:

The Answer is A.

Step-by-step explanation:

All numbers are real numbers but not all real numbers are a whole. I can't give any further explanation but this is what we were taught when I was younger so it should be correct.

Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

Answers

Answer:

[tex]LS = 63[/tex]

Step-by-step explanation:

Given

[tex]LS = 14x - 21[/tex]

[tex]LH = 15[/tex]

[tex]HS = 8x[/tex]

Required

Determine the length of LS

Since H is between L and S, then

[tex]LS = LH + HS[/tex]

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

[tex]14x - 21 = 15 + 8x[/tex]

Collect Like Terms

[tex]14x - 8x = 21 + 15[/tex]

[tex]6x = 36[/tex]

Divide both sides by 6

[tex]x = 6[/tex]

Substitute 6 for x in [tex]LS = 14x - 21[/tex]

[tex]LS = 14(6) - 21[/tex]

[tex]LS = 84 - 21[/tex]

[tex]LS = 63[/tex]

Hence, the length of LS is 63 units

Maiden earned 84$ last week. Peter earned only 12$. Maidens earnings are how many times greater than Peter's. Write an equation for the problem, and solve.

Answers

Answer:

7 times greater

Step-by-step explanation:

This is because 84 divided by 12 is 7, so i guess that is your answer.

hope this helps

It's a word problem junkie. Is a bus driver who earns 1600 dollars per month login is a is a manager who earns 6800 dollars per month. In 2012 Jun bro donated a total of 1200 dollars to charity while login donated4500dollars to charity who donated the higher percentage of money

Answers

Answer: bus driver

Step-by-step explanation:

Given: Earning of bus driver =  1600 dollars per month

Earning of  manager  = 6800 dollars per month

Amount donated by bus driver = 1200 dollars

Amount donated by manager = 4500 dollars

Percentage of amount donated by bus driver = [tex]\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%[/tex]

Percentage of amount donated by manager = [tex]\dfrac{4500}{6800}\times100 \%\approx66.18\%[/tex]

Clearly, 75> 66.18

So, bus driver donated  higher percentage of money.

--3(p+1) <-18 solving inequalities with graphs i need help ​

Answers

Answer:

p<5

Step-by-step explanation:

-3(p+1)<-18

-3p-3<-18

+3 +3

-3p<-15

-3p/3<-15/-3

p<5

Simplify the square root of negative 18

Answers

Answer:

[tex]3i\sqrt{2}[/tex]

Step-by-step explanation:

If we have the expression [tex]\sqrt{-18}[/tex], we can divide -18 by 2.

[tex]\sqrt{2\cdot-9}[/tex]

The square root of 9 is 3, and since we’re finding the square root of a negative number, we append the “i” to the term: so 3i.

This goes outside the root, making the expression [tex]3i\sqrt{2}[/tex].

Hope this helped!

Find the sum of -2 + i and its complex conjugate.
Write your answer in the form a + bi.

Answers

Answer:

- 4

Step-by-step explanation:

The conjugate of - 2 + i is - 2 - i, thus

- 2 + i + (- 2) - i

= - 2 + i - 2 - i ← collect like terms

= - 4 ← in the form a + bi with b = 0

The sum of -2 + i and its complex conjugate is:

w = -4 + 0i

How to find the sum?

The complex conjugate of a number z = a + bi is:

z' = a - bi.

Then the complex conjugate of -2 + i is -2 - i.

The sum will give:

w = -2 + i + (-2 - i) = -4 + 0

Writing it in the wanted form we get:

w = -4 + 0i

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

#SPJ2

Brent knows that the six digit number he uses to open his computer is the prime factorization of 5005 if each digit of the code increases from left to right

Answers

Answer:

The code is 571113

Step-by-step explanation:

The problem requires that we find the prime factors of 5005

1. 5005 is a multiple of 5 since it ends with a number 5

5 is one of the numbers

Dividing 5005/5 = 1001

the next prime number after 5 is 7

so 1001/7= 143

7 is one of the numbers

the next prime number after 7 is 11

so 143/11= 13

13 is one of the numbers

In all the prime factorization of 5005 is found as follows

5,7 11,13

Combining these numbers gives the 6 digit code

571113

translating verbal expressions: 3 less than the square of a number p​

Answers

3 less than (-) square of a number p (p^2)

3-p^2

Answer: p²-3

Step-by-step explanation:

3 less than the square of a number p=p²-3

When coming across [a less than b], this means b-a.

If you are pretty confused with this variable expression, I will provide to you with some numerical examples.

3 less than the square of 4=4²-33 less than the square of 10=10²-3

This pattern will also apply for p

which of the following units is incommensurable with kilograms? A.pounds B.ounces C.tons D.gallons

Answers

Answer:  D.gallons

Step-by-step explanation:

Kilogram is a unit of mass

Now, Pounds, Tons and Ounces are also units of mass.

But Gallons is a unit of volume, where 1 gal = 3.785 L

Then you never can represent an amount of mass using units for volume, which means that gallons is incommensurabe with kilograms.

the correct option is D

The midpoint between two points is( 1 , 5 ). One of those points is ( 9 , 3 ), find the other. DUE in 2 HOURS, will give Brainliest! A. (4, - 1) B. (-4, 1) C. (5, 4) D. (-7, 7)

Answers

Answer: (-7, 7)

Step-by-step explanation:

Answer:

[tex]\mathrm{Solution\:} = (- 7,7) = \mathrm{Last\:}\mathrm{Option\:}[/tex]

Step-by-step explanation:

In my point of view the easiest approach to solving this problem would be by determining the distance between the given points (the midpoint and the other given point) --- (1) and then going through all the answer choices and matching their distance to the midpoint --- (2). This may seem like a hard approach, but you can eliminate many of the answer choices.

The answer is the last choice, so let's prove it.

[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(9,\:3\right) = \sqrt{\left(9-1\right)^2+\left(3-5\right)^2} = 2\sqrt{17}[/tex]

[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(-7,\:7\right)=\sqrt{\left(-7-1\right)^2+\left(7-5\right)^2}=2\sqrt{17}[/tex]

[tex]2\sqrt{17} = 2\sqrt{17}[/tex]

As the distance between points (1,5) and (9,3) respectively (1,5) and (- 7,7) is the same, we proved that our answer is the last choice.

Jade and Ali set the alarms on their phones to sound at 7.15 am.
Both alarms sound together at 7.15am.
Jade's alarm then sounds every 40 minutes.
Ali's alarm then sounds every 60 minutes.
At what time will both alarms next sound together?

Answers

Answer:

9:15 am

Step-by-step explanation:

Alarms sound at 7:15 am

Alarm frequencies are 40 min and 60 min

Since 40= 20*2 and 60= 20*3, the overlapping frequency is:

20*2*3= 120 min = 2 hours

So next time both alarms sound at 7:15 am + 2 hours = 9:15 am

Answer:

Trust me its 9:15 am

Step-by-step explanation:

Solve the following three equations.
Equation #1 60 = 6(6 – 2n)
Equation #2 5x + 7 + 3x = -8 + 3x
Equation #3 3(1 + 4v) – 2(5v- 3) = 25

Answers

Answer:

#1 N=2

#2 X= -3

#3 V=1, 1 1/2

f(x)=x^2+4x-6 a) f(x) can be written in the form (x+m)^2+n find the value of m and the value of n b) use your answer to part (a) to find the positive solution to x^2+4x-6=0

Answers

Answer:

see explanation

Step-by-step explanation:

Using the method of completing the square.

Given

f(x) = x² + 4x - 6

add/subtract ( half the coefficient of the x- term )² to x² + 4x

f(x) = x² + 2(2)x 6 + 4 - 4 - 6

      = (x + 2)² - 10

with m = 2 and n = - 10

To solve the equation let f(x) = 0 , that is

(x + 2)² - 10 = 0 ( add 10 to both sides )

(x + 2)² = 10 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{10}[/tex]

The positive solution is

x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )

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