The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?

Answers

Answer 1

Answer:

197.92

Step-by-step explanation:

radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)

12² is 144 so 144Pi

9² is 81 (for the inner circle) so 81Pi

144 - 8 is 63Pi which in decimal form is 197.92.


Related Questions

Entre los números -4 y 0 cuál es menor

Answers

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D

4) What % of 60 is 12?

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

xLasersx✨

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Evaluate each expression.
a. 1/2(5+13)-4.5
b.(5+11)-(24-15)•(3)
c.6²+3•7-9÷3​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's solve ~

Expression 1

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (5 + 13) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (18) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9 - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.5[/tex]

Expression 2

[tex]\qquad \sf  \dashrightarrow \:(5 + 11) - (24 - 15) \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - (9 \times 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - 27[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 11[/tex]

Expression 3

[tex]\qquad \sf  \dashrightarrow \: {6}^{2} + (3 \times 7) - (9 \div 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 + 21 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:57 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:54[/tex]

Area = 120 units squared
Base = 8 units
Length = ? (Include the units in your answer)

Answers

Answer:

15

Step-by-step explanation:

Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.

That would get us 120/8=Length,

and if we just divide 120 by 8 we get 15, so the length is 15

The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

No links please !!! :D

Answers

Answer:

The answer should be B. 86.7

Can someone please help me with this?

Answers

Answer:

50

Step-by-step explanation:

If we divide the shape we can get 3 x 10 with equals 30. Then take the remaining which is 2 x 10 and we get 20. Add the two to get 50. The area is 50sq miles.

Hope this helps. pls mark brainliest

please slove

10^3⋅10^4/10^5

Answers

Answer:

100

Step-by-step explanation:

10^3= 10x10x10= 1000

10^4= 10x10x10x10= 10000

10^5= 10x10x10x10x10= 100000

( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.

ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one

step 2 solve

1000x10000/100000= 100

Answer:

10^2

Step-by-step explanation:

10^3⋅10^4/10^5

add the exponents when multiplying

10^7/10^5

subtract the exponents when dividing

10^2

how to multiply and divide decimals with whole numbers

Answers

If this helps: 10 x .5 would be the same as 50% of 10. Also: 40 x .12 would be the same as 12% of 40.

100 point to the first correct answer

Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?

Answers

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]

[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]

[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]

**Probability Distribution Table attached**

Use numerals instead of words. If necessary, use / for the fraction bar(s).

The measure of angle 0 is 7 pie/4. The measure of its reference angle Is _°, and tan 0 is _

Answers

Answer:

-1

Step-by-step explanation:

angle 0: 7pie/4

=7*180/4

=1260/4

=315

hence reference angle(0)= 315

now, tan 0 = tan315

= tan(360-45)

= -tan45

= -1

hello, please answer the question, please show work

Answers

3/8 is bigger than 1/5

Write down one prime number that lies between each of the following pairs of numbers: a) 45 and 55 b) 62 and 72​

Answers

hello!

==============================================

Remember, prime numbers have only 2 factors: 1 & themselves.

For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)

Now, write down some primes.

1) between 45 and 55

   - 47

   - it's only divisible by 1 and itself, so it IS prime

2) 62 and 72

67, because it is divisible by 1 and itself only.

====================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Is (-4, -1) a solution to this system of equations?

y = 5/2x + 9
y = 1/2x + 1

Yes or no

Answers

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5

Answers

Answer:

x>3 but x<5 so x=4

4-3=1

+

4+2=6

-

4-5=-1

but |-1|=1

so

1+6-1=6

Write the first 8 triangular numbers

Answers

Answer:

1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?​

Answers

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

5x - 15 = 2x + 15

Solve:

5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.

Answers

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

How to determine the length of the other dimension?

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

Read more about areas at:

https://brainly.com/question/24487155

Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2

Answers

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)

Type down when answering how you got the answers​

Answers

hello!

=======================================================

The Distributive Property states the following:-

[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]

Where

[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]

Now, let's use this property to simplify our expressions.

The first one is

[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]

Simplify by distributing 4:-

[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]

Add the products:-

[tex]\longrightarrow\sf{4x+8}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the next one:-

[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]

Distribute -5 & add the products:-

[tex]\longrightarrow\sf{-45-5x}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the last one:-

[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]

Distribute 7:-

[tex]\longrightarrow\sf{7x-21}[/tex]

======================================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Find the perimeter and area of a regular hexagon with side lengths of 8 and an apothem of 9.

Answers

The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.

What is a regular hexagon?

A regular hexagon is a polygon with 6 sides and the angles are congruent.

The perimeter of the hexagon is the sum of the whole sides. Therefore,

side length = 8 units

apothem = 9 units

perimeter = 8 × 6 = 48 cm

The area of the hexagon can be calculated as follows:

area = 1 / 2 pa

where

p  =perimeter

a = apothem

Therefore,

area = 1  / 2 × 48 × 9

area = 432 / 2

area = 216 units²

learn more on hexagon here: https://brainly.com/question/15392522

Express 6 m as a percentage of 16 m.

Answers

Answer:

37.5%

Step-by-step explanation:

the percentage is calculated as a fraction of the quantities multiplied by 100% , that is

[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%

Answer:

37.5%

Step-by-step explanation:

6/16×100

37.5%

brainiest please

Explain why 10 to the zero power equals 1

Answers

Answer:

Because any number to the power of zero will be one.

The circumference of a circle is 43.96 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Radius = circumference / 2π

= 43.96 / 2π

= 7.00 yards to the nearest hundredth.

Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56

Answers

Just in case my image doesn’t upload, you basically just have to solve it like a normal equation. Replace the > sign with an = sign when you solve it so u don’t get confused. Then, when you get the final product, x = 3, then switch the = sign with the > sign again, so the answer is: x > 3

Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.

Answers

Answer:

Step-by-step explanation:

Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.

Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.

What does n equal? Please help!

Answers

Answer:

x=0

Step-by-step explanation:

because you divide by x^12

x^n=x^0

x=0

Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.

Answers

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

help on this please.

Answers

Are you trying to find the blank angle or are you looking for the equivalent of something here is something that might be able to help. I do not know if this answers your questions

what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12​

Answers

The answer is -1 your welcome
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