Mathematics Middle School

The diameter was of four half circles are sides of a square with a side length of 7 cm.
Find the exact area of the shaded region in terms of pi. (Please show work)

The Diameter Was Of Four Half Circles Are Sides Of A Square With A Side Length Of 7 Cm.Find The Exact

Answers

Answer 1

Answer:

  shaded area = 24.5π -49

Step-by-step explanation:

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

  A = 1/2r²(θ -sin(θ))

Here, the radius of the circle is (7 cm)/2 = 3.5 cm, and the angle of interest is π/2 radians.

There are 8 segments of this size in the shaded area, so we have ...

  shaded area = 8(1/2)(3.5 cm)²(π/2 -sin(π/2))

  shaded area = 24.5π -49

Related Questions

3-5w+12+2w-3
write the answer in standard form

Answers

3w+12
I have attached a photo of how to solve these problems 

what is 4x+6+3=17? I need help with my algebra homework

Answers

Hi there!

To solve for x, we need to simplify this by combining like terms. 

4x + 6 + 3 = 17
4x + 9 = 17
4x = 8
x = 2

Hope this helps!
X=2 my dude

4x+6+3=17

Do 3-17 so it would be

4x+6= 14

Then do 6-14= 8 so

4x=8 all over 4

X=2

Aaron wants to divide the trail mix equally into 6 bags to give to his friends.How much trail mix will be in each bag?

Answers

1 is the answer because if you divided 6 by 6 you get 1
Wouldn't you divide each ingredient by 6?

Please show work, if not it’s ok. I️ just need the answer.

Answers

the answer is d
hope this helps

What is one thousand less than 89,257

Answers

88,257 because 89,257-1000=88,257

-2a-4>-8 please help

Answers

Hey there!

Firstly, we have to “add” the number “4” on each of your sides

Like: -2a -4 + 4> -8 +4
Cancel: -4 + 4 because it will give you “0”
Keep: -8+4 because it gives you “-4” and we have paid it off with -2a

Like: -2a>-4

Divide each of the sides by “-2”

Like: -2a/2 > -4/-2

Cancel: -2a/2 because it gives us “1”

Keep: -4/-2 because that’ll give us the answer on the left side of the inequality

So, a < 2 would be your answer

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)



-2a - 4 > -8
add 4 to both sides

-2a - 4 + 4 > -8 + 4
-2a > -4

divide both sides by -2 AND change the direction of the sign because we're dividing by a negative

a < 2

ANSWER: a < 2

Hope this helps! :)

What is the time the minutes are 10 more than 20 the hour is the same as4+4+4

Answers

The time is 12:30!!!(10+20=30,4+4+4=12)
10+20=30 (minutes) 4+4+4=12 (hour), so 12:30

What is the first quartile of the data displayed in this box-and-whisker plot?


49

41

37

35

Answers

The answer is C. 37. To get this, look at the line that makes up to left side of the box.

Answer:

C

Step-by-step explanation:

What is the amount of money in a bank account called?

A. Debit
B. Check register
C. Account total
D. Balance

Answers

D. Balance
 :) 

Support Florida and its movement!

Answer:

D. Balance is the correct answer

Step-by-step explanation:

The amount of money in a bank account called Balance.

In the bank, the amount of money somebody has available in his savings account or the checking account is called account balance.

The balance is the net amount balance available in an individual account after all the down payment and credits have been adjusted with all the charges.

Line b passes through the orgin and through the point (4,-3/2), write a eqation of the line that is parallel to line b and passes through the point (0,7). show all work, and report the answer in slope intercept form

Answers

Line B has slope m = (-3/2-0)/(4-0) = -3/8. The given point is the y-intercept (b = 7), so your equation is
  y = mx +b . . . . . . . don't confuse the intercept variable (b) with the name of the line (here I called it B)
  y = (-3/8)x +7
Y=-3/2x+7. Hope this helps!

Hye Sun has a modern coffee table whose top is a triangle with the following side legngths: 8 feet , 3 feet, and 5 feet. Is Hye Sun's coffee table top a tight triangle?

Answers

8 feet is the longest side so it would be the hypotenuse. Use the Pythagorean formula to check.
a^2 + b^2 = c^2
3^2+5^2 = 8^2
9 + 25 = 64
34 = 64
This is obviously not true si it is not a right triangle.

a circle has a diameter of 12 inches. What is the circumference in terms of pi?

Answers

The circumference is 37.68, because 12 * 3.14 = 37.68.

Answer:

12πinches

Step-by-step explanation:

C=dπ=12π

Blake bought a 16-ounce soda. He uses a scale and makes four measurements of the can's contents. Which measurement is the most accurate, assuming that the can contains exactly 16 ounces? A)16.02 ounces B)16.022 ounces C)16.0222 ounces D)16.1 ounces

Answers

The correct answer is A)16.02
good luck

what is 16 - 5y = 1 - 4y

Answers

this is the answer15=1y. It is this because you have to separate the 4 and 5y from the other two numbers because you can't do anything to it because they are not the same

The solution to the equation 16 - 5y = 1 - 4y is y = 15.

Here, we have,

To solve the equation 16 - 5y = 1 - 4y, you can follow these steps:

Step 1: Combine like terms on both sides of the equation.

16 - 5y = 1 - 4y

Step 2: Simplify by subtracting 1 from both sides.

16 - 5y - 1 = 1 - 4y - 1

15 - 5y = -4y

Step 3: Simplify further by subtracting -4y from both sides.

15 - 5y + 4y = -4y + 4y

15 - y = 0

Step 4: Isolate the variable term by subtracting 15 from both sides.

15 - y - 15 = 0 - 15

-y = -15

Step 5: Multiply both sides by -1 to solve for y.

-y * -1 = -15 * -1

y = 15

Therefore, the solution to the equation 16 - 5y = 1 - 4y is y = 15.

To learn more on equation click:

https://brainly.com/question/14468218

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100 to 150. What is the percent of change?

Answers


Percent change = [(100 - 150) / 100] x 100 = 50 % (increase) so basically just 50! (Hope this helps!)

We have to find the percentage change from 100 to 150.

To find percentage we have to subtract the small number from the greater and number and divide it with the original number and then multiply it with 100.

Here subtracting the smaller from greater, we will get,

[tex] (150-100) = 50 [/tex]

Now the percentage of change is,

[tex] (\frac{50}{100} )(100) [/tex]%

[tex] \frac{(50)(100)}{100} [/tex]%

[tex] \frac{5000}{100} [/tex]%

[tex] 50 [/tex]%

We have got the required answer. The percentage of change is 50%.

15 Kilograms of fruit are packed in each case. How many cases are needed to pack 185 Kilograms of fruit? How many kilograms will be left over?

Answers

12 cases are needed to pack 185 kg of fruit. You determine this by dividing 185/15 and get 12.3, which means you have .3 Kg left over

What is the equation of a line that is parallel to x=7/5x+6 and that passes through the point (2,-6)

Answers

the answer is below
we're given
[tex]y = \frac{7}{5} x + 6[/tex]
we need to convert to point slope form with our slope and point given
point slope form is
[tex] y - y1 = m(x - x1)[/tex]
so we fill in slope and our point

[tex]y + 6 = \frac{7}{5} (x - 2)[/tex]
we simplify the left side and get
[tex]y + 6 = \frac{7}{5} x - \frac{14}{5} [/tex]
then we subtract 6 from the left and get
this as our final answer
[tex]y = \frac{7}{5} x - \frac{44}{5} [/tex]

Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town. Which statements are true? Select each correct answer. A To estimate the percentage well, she would need to collect data for all 35,000 families. B Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer. C If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer. D Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.

Answers

Answer:

It is A because if you read this text you will see the information

Step-by-step explanation:

At the beginning of the week, Paloma opened a new box of 250 coffee creamers. Forty-four coffee creamers were used during the week. Which equation could be used to find x, the number of coffee creamers left at the end of the week?
A. x - 44 = 250
B. 44 - 250 = x
C. 44x = 250
D. x + 44 = 250

Answers

Hello, the correct answer would be B. Because if she had 250 then used 44 you would subtract 44 from 250 to find x

Hope this helps :)
I disagree it wouldn’t be b bc you would get a negative number the answer is D you need to subtract the part from the whole

What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches? V = lwh in3

Answers

The volume is 13*7*5. Therefore, the answer is 455 in^3

A shoe box is in the shape of cuboid.

The formula to find volume of cuboid is given by:

Volume of a cuboid = (length × breadth × height) cubic units.

We are given:

length = 13 inches

width = 7 inches and

height = 5 inches.

Plugging these values in the formula of volume,

Volume of cuboid = L * W * H = 13 *7 *5 = 455 cubic inches.

Answer : The volume of shoe box is 455 cubic inches.

The graph shows the number of hours driving and the distance from home: A scatter plot is shown with the title Road Trip. The x-axis is labeled hours driving, and the y-axis is labeled distance from home. Data points are located at 1 and 50, 2 and 125, 3 and 165, 4 and 250, 5 and 300. A line is drawn connecting the coordinate point 1 and 50 to 4 and 250. Which statement best describes the relationship between the number of hours driving and the distance from home? As the hours driving increases, the distance from home decreases. As the hours driving increases, the distance from home increases. As the hours driving decreases, the distance from home increases. No relationship can be determined.

Answers

Answer:

B

Step-by-step explanation:

The association is positive linear so that means everything is increasing as the line goes up.

Answer:

As the hours increases the number of distance decreases

Step-by-step explanation:

COMMON KNOWLEDGE?

what fractional part of a pound is an ounce

Answers

 16 oz in 1lb, 1/16 of a pound is one ounce.

Find the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm.

Answers

Divide the pentagon into 5 triangles each with an outermost side length of 182/5 or 36.4. You can also know that the height of all these triangles will be the length of the aphorism or 25.1 mm so you can find the area of one triangle using A=1/2 bh, that gives you 456.82, then multiply this by your 5 as to include all 5 triangles in the pentagon which gives you 2284.1 mm^2. I hope it helps



Carl runs around a track in 1.17 minutes. How long would it take him to run 1.5 laps at this rate? [Round to two places

Answers

multiply:
1.17 x 1.5 = 1.755
 rounded to 2 places = 1.76 minutes
Hello there friend :)

These are just the few simple steps to get you to your answer!


1. Multiply 1.17 x 1.5 = 1.755

2. Round two places

3. After rounded two places, Your answer is 1.76 minutes.


Complete Setence Answer: It would take Carl 1.76 minutes to run 1.5 laps.

If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
A. –9i
B. -1/9i
C. 1/9i
D. 9 – i

Answers

Answer:

A

Step-by-step explanation:

Edge 2020

Describe a strategy for dividing a whole number or a mixed number by a fraction

Answers

Convert the whole number or mixed number to an improper fraction and multiply that by the reciprocal of the fraction.

Example:
  (3 2/3)/(4/5) = (11/3)*(5/4) = 55/12 = 4 7/12

Which statement best describes the value of 8

Answers

Final answer:

The question relates to the process of rounding numbers, a fundamental concept in mathematics where 8 usually causes an increase in the value of the digit before it.

Explanation:

Based on the information provided in the question, it appears to be related to the concept of rounding numbers in mathematics. Rounding is a mathematical procedure used to shorten a number to a certain number of significant digits or a certain decimal place. When you round the number 8, it can impact the number it is associated with, such as rounding numbers up in the case of 5 or greater, or keeping them the same if the digits are less than 5. For example, if a 1 is followed by an 8, rounding replaces the 1 with a 2. If an integer, such as 2, is followed by an 8 and we're dropping decimal places, the 2 may be dropped. In the case of aesthetics or grades, the number 8 might have a different interpretation, such as the value given on an 8-point scale.

A number cube is rolled and a random chip is pulled from a bag of 6 different color chips. The number cube is labeled 1 to 6. There is one blue chip in the bag. What is the probability of the number cube landing on an even number and a blue chip being drawn? Enter your answer as a fraction in simplest form in the box.

Answers

Probability of number cube landing on an even number AND a blue chip being drawn is 1/12

Answer:

The probability of an even number being drawn is 1/3 because the cube is numbered 1-6. The even numbers 1-6 are 2,4, and 6.

The probability of it landing on a blue is 1/6. Since there are six different colored chips and one is blue that means there is a 1/6 chance that a blue to be drawn.

Together, the probability of a number cube landing on an even number AND a blue chip being drawn is 1/12.



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

John walks 1 mile west. Then he turns north and walks another 2 miles before he stops to rest. How far is John from his starting point when he stops to rest? Round your answer to the nearest tenth.

Answers

You might think at first that he is 3 miles from his starting point, but if you think about it, that's not true. This forms a right triangle with one side of 2, the other side with 1, and the unknown distance as the hypotenuse. We can use Pythagorean's Theorem to solve this:
[tex]a^2 + b^2 = c^2[/tex]
[tex]c = \sqrt{a^2+b^2} = \sqrt{2^2+1^2} = \sqrt{5} [/tex]

This cannot be simplified anymore, so the distance John travels is [tex] \sqrt{5}[/tex] miles. You can put this into a calculator to get a value of 2.2 miles (rounding to the nearest tenth).

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Answers

The answer to the question is :

A) Mallard Population

The reason this is the answer is because the question asks for the term that best describes the TOTAL number of Mallards in the pond, and the right term, or phrase, would be Mallard Population.

The required term "population of Mallards  " would describe the total number of Mallards in the pond.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
In the table shows the population of different duck species at a local pond the term "population of Mallards  " would describe the total number of Mallards in the pond.

Thus, the required term "population of Mallards  " would describe the total number of Mallards in the pond.

Learn more about Statistics here:
https://brainly.com/question/23091366

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