A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth are cut from the square?

(π = 3.14)

A - 1,017.36 in2
B - 1,182.96 in2
C - 1,276.00 in2
D - 1,489.24 in2

Answer:  s​ = ​P​ ÷ 6

Step-by-step explanation:

The simplest, and by far most common, way of finding the length of a regular hexagon's sides is using the following formula: ​s​ = ​P​ ÷ 6, where ​P​ is the perimeter of the hexagon, and ​s​ is the length of any one of its sides.

Answer:

All the interior angles measure 120°. All the exterior angles measure 60°. Since all angles are equal in a regular hexagon, each angle is 120o and the sum of all the interior angles is 720o.

Step-by-step explanation:

The simplest, and by far most common, way of finding the length of a regular hexagon's sides is using the following formula: ​s​ = ​P​ ÷ 6, where ​P​ is the perimeter of the hexagon, and ​s​ is the length of any one of its sides

Youre welcome ! ∩^o^∩

Answer:

a. 1/6

Step-by-step explanation:

I just counted the 12 outcomes and the 2 same sex possibilities, which would turn to 2/12, and then simplified it into 1/6. I hope this is right, I am very sorry if it isn't.

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer: in this order angle d, e, f line de, ef, fd

Step-by-step explanation:

Answer:

the line over the number just means those number repeats it's selfover and over again

Step-by-step explanation:

Answer: all this needs is an explanation

Step-by-step explanation: 0.40x we don't know x and there is not enough info to find it. first 327-120=207 so basically x cannot surpass 517.5

the right answer would be 517.4 or less because it mustn't surpass 207 or be equivalent to it. hope this helps

Answer:

I think it's either D or C

Step-by-step explanation:

The expression should be 2x + 14

So, area is:

\(A = 2(x+7)\)

And,

\(A=(2\times x) + (2 \times 7)\)

\(A = 2x + 14\)

Learn more about the area here: https://brainly.com/question/24418415

Answer:

63  

Step-by-step explanation:

63  - > 3+6 = 9      as 6+3 = 9  then 63 is a multiple of 9

33  - > 3+3 = 6

78  - > 7+8 = 15 -> 1+5 = 6

The number is :

Solution:

Let's quickly check what numbers are divisible by 9.

3 can't be evenly divisible by 9.

63 is divisible (according to the multiplication table)

33 isn't divisible by 9 either

78 is no different.

Quick way to identify multiples of 9 :

If the digits of the number add up to 9, then the number itself is a multiple of 9.

Answer:rule 1  is 16

             rule 2  is 17

Step-by-step explanation:

There are probably other ways to approach this, but I'll focus on a proof by induction.

The base case is that n = 1. Plugging this into the expression gets us

n^3+11n = 1^3+11(1) = 1+11 = 12

which is a multiple of 6. So that takes care of the base case.

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Now for the inductive step, which is often a tricky thing to grasp if you're not used to it. I recommend keeping at practice to get better familiar with these types of proofs.

The idea is this: assume that k^3+11k is a multiple of 6 for some integer k > 1

Based on that assumption, we need to prove that (k+1)^3+11(k+1) is also a multiple of 6. Note how I've replaced every k with k+1. This is the next value up after k.

If we can show that the (k+1)th case works, based on the assumption, then we've effectively wrapped up the inductive proof. Think of it like a chain of dominoes. One knocks over the other to take care of every case (aka every positive integer n)

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

Let's do a bit of algebra to say

(k+1)^3+11(k+1)

(k^3+3k^2+3k+1) + 11(k+1)

k^3+3k^2+3k+1+11k+11

(k^3+11k) + (3k^2+3k+12)

(k^3+11k) + 3(k^2+k+4)

At this point, we have the k^3+11k as the first group while we have 3(k^2+k+4) as the second group. We already know that k^3+11k is a multiple of 6, so we don't need to worry about it. We just need to show that 3(k^2+k+4) is also a multiple of 6. This means we need to show k^2+k+4 is a multiple of 2, i.e. it's even.

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

If k is even, then k = 2m for some integer m

That means k^2+k+4 = (2m)^2+(2m)+4 = 4m^2+2m+4 = 2(m^2+m+2)

We can see that if k is even, then k^2+k+4 is also even.

If k is odd, then k = 2m+1 and

k^2+k+4 = (2m+1)^2+(2m+1)+4 = 4m^2+4m+1+2m+1+4 = 2(2m^2+3m+3)

That shows k^2+k+4 is even when k is odd.

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

In short, the last section shows that k^2+k+4 is always even for any integer

That then points to 3(k^2+k+4) being a multiple of 6

Which then further points to (k^3+11k) + 3(k^2+k+4) being a multiple of 6

It's a lot of work, but we've shown that (k+1)^3+11(k+1) is a multiple of 6 based on the assumption that k^3+11k is a multiple of 6.

This concludes the inductive step and overall the proof is done by this point.

Answer:

1/2p - 1/4p - 4.

Step-by-step explanation:

1/2p - (1/4p + 4)

= 12p - 1/4p - 4

≠ 1/2p + 1/2p - 4

Instead of writing -1/4p, Tim wrote 1/2p

Answer: 1.5 paintings

Step-by-step explanation:

If he can make 0.75 paintings in 2.5 hrs:

2.5 ---> 0.75

5 ----> (5 x 0.75)/2.5 = 1.5 paintings

Answer: 128 cm

Step-by-step explanation: 96+24+8=128cm

Answer:

C

Step-by-step explanation:

I think the safety on the car depends on the person inside it.

Answer:

At the aquarium, the dolphins are fed seven buckets of fish each day. The penguins are fed half  as much as the dolphins therefore the three and a half buckets of fish each day.

Step-by-step explanation:

First, the dolphins have 7 buckets of fish a day and the penguins have half.

Second, find the numbers in the problem and x out the useless information.

Third, divide the 7 by 2 (the reason behind dividing by 2 is to get the half of 7)

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer: After 5 seconds, there will be 12 gallons of water in the bucket or  in 12 seconds there will be 5 gallons of water in the bucket. Either one of them

Step-by-step explanation:

Lol I tried hope it helps

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

Answer:

23

Step-by-step explanation:

25 + 17 + 38 + 11 + 24 = 115 / 5 = 23

Answer:

28

Step-by-step explanation:

23 + 24 + 27 + 38 = 112

112 ÷ 4 (total numbers) = 28

Mean = 28

The coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).

Scale factor = \(2\frac{1}{2}\)

= 2.5

The reflection of point (x, y) across the x-axis is (x, -y).

Here, N(-4, 6)→(-4, -6)

M(-6, 2)→(-6, -2)

G(-2, 4)→(-2, -4)

Now, with scale factor 2.5, we get

(-4, -6)→2.5(-4, -6)→N'(-10, -15)

(-6, -2)→2.5(-6, -2)→M'(-15, -5)

(-2, -4)→2.5(-2, -4)→G'(-5, -10)

Therefore, the coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

To learn more about the reflection over x-axis visit:

https://brainly.com/question/15175017.

#SPJ1

Answer:

Well you have all of the ingredients to substitute into the equation and solve for c

Step-by-step explanation:

15.066 x 10^-11  =  1.674 x 10^-27    c^2

sqrt ( 15.066 x 10^-11/1.674x10^-27) = c = sqrt (9 x 10^16) = 3.00 x 10^8  m/s

Answer:

15.066 x 10^-11  =  1.674 x 10^-27    c^2 

sqrt ( 15.066 x 10^-11/1.674x10^-27) = c = sqrt (9 x 10^16) = 3.00 x 10^8  m/s

Answer:

x=30

Step-by-step explanation:

firstly, Cross multiply

21 × x = 18 × 35

x = 630 ÷ 21

x=30

Hope it helps!

Mark as brainliest please!

Answer:

Step-by-step explanation:

Given proportion,

→ 21/35 = 18/x

Now we have to,

→ Find the required value of x.

Let's find the value of x,

→ 21/35 = 18/x

→ 21x = 18 × 35

→ 21x = 630

→ x = 630/21

→ [ x = 30 ]

Hence, the value of x is 30.

Answer:

The answer is D: To know on  which book, number of words is more between, Computer Science and Math

Magdeline selects 25 pages from each book, then Calculates Mean, Median, Mean Absolute Deviation of number of words on each page.

Book                Mean    Median     Mean Absolute Deviation

Computer science 48.7            40                   9.4

Math                  34.2         45                      1.9

Observing what Magdeline has Done,

Mean is Sum of words on each page of 25 pages divided by 25.

1. Mean of Computer Science book is more than mean number of words on pages of math book.

2.And, Median means , computer science book has more pages which contains 40 words ,and Math book  has more pages which contain 45 words.

3.Now,Coming to Mean Absolute Deviation, which measures the Variability from Mean.

In computer science book ,there is more Variability that is, 9.4 and 1.9 in math book.

So, just by claiming, that because the mean number of words on each page in the computer science book is greater than the mean number of words on each page in the math book, the computer science book has more words per page appears invalid Inference, because variability from mean in computer science book is more than variability from mean in Math book because Mean Absolute Deviation measures Variability fro mean.

Answer:

well basically you cant because on Cordiant planes they aren't algebra

Step-by-step explanation:

hope this helps

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

3

Step-by-step explanation:

slope or constant proportionality= rise/run

rise =3

run = 1

so 3/1=3

slope =3