find the area of the shaded regions below. give your answer as a completely simplified exact value in terms of π (no approximations)

Find The Area Of The Shaded Regions Below. Give Your Answer As A Completely Simplified Exact Value In

Answers

Answer 1

Answer:

Step-by-step explanation:

the area of the hemisphere is  1/2 [tex]\pi[/tex][tex]r^{2}[/tex]

the radius is 1/2 the diameter,

the diameter is also the hypotenuse of the isosceles triangle

[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]

[tex]d^{2}[/tex] = 32

d =[tex]\sqrt{32}[/tex]

r = 1/2[tex]\sqrt{32}[/tex]

1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2

1/2[tex]\pi[/tex](1/4*32)

(32/8 )*[tex]\pi[/tex]

4[tex]\pi[/tex] ( the entire upper hemisphere )

area of the triangle is  1/2* 4 *4 = 8

then the exact area of the parts of the circle would be

4[tex]\pi[/tex] - 8    


Related Questions

The game starts at 1830. They play four eight minute quarters, and half-time lasts for thirty minutes. What time should you tell your parents to pick you up? Give your answer in both 12 and 24 hour clock notation

Answers

Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.

What is time?

the idea that time was the fourth dimension and that space and time were therefore inseparably connected. According to his general theory of relativity (opens in new tab), the mass and momentum of adjacent matter influence how much space-time enlarges and compresses.

Here,

Given : The game starts at 18:30

Thus,

They play for eight minutes quarters and half time last for 30 minutes.

So,

To find the time to pick up by your parents:

=> 8*4 + 30

=> 32 + 30

=> 62

Thus time after 62 minutes is 7:32

Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.

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One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.

(Assume that the computers do not back up at the start of the 24-hour period.)

Answers

The number of times which the two computers back up at the same time in twenty four hours as required is; 144.

How many times does the computers back up at the same time in 24 hours?

It follows from the task content that the first computer backs up after every five minutes and the second computer backs up every two minutes.

On this note, the least common multiple of both backup times represents when the two computers back up at the same time.

Hence, since the LCM of 5 and 2 is; 10.

It follows that the two computers back up at the same time after every ten minutes.

Ultimately, the number of times for which they backup at the same time in 24 hours; since 60 minutes = 1 hour is;

= ( 24 × 60 ) / 10

= 24 × 6

= 144 times.

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Please help with this question if you can

Answers

Answer:

5.1

Step-by-step explanation:

so the leaning ladder makes a right angled triangle so we can use pythagoras to calculate the the length (the hypotenuse):

5²+1²=x²

25+1=x²

√26=x

x=5.099...

and now we round to one d.p so it becomes 5.1 (1 d.p) as the hundreths digit is 9 and 9 is rounded up.

You need to use the Pythagoras theorem!
The ladder leaning on the wall forms a right triangle. And we have the 2 sides we need:
5 meters and 1 meter, now you do the calculations:

PLEASE SOMEONE HELP MEEEE I AM LITERALLY FRYING NY BRAIN. NO LINKS OR I WILL REPORT YOU... PLEASE AND THANKS

Answers

Shahaha ahahaha sjejebd d

Answer:

1. True

2. False

3. True

4. False

Step-by-step explanation:

Someone pls solve this math puzzle.

Answers

Answer:

x (blue circle thing) = 46

y (dna) = -63

z (molecules) = 52

Step-by-step explanation:

helpppppppppppppppppppppppppp

Answers

Step-by-step explanation:

[tex]2\pi {r}^{2} + 2\pi rh[/tex]

[tex]2(3.14) {(20)}^{2} + 2(3.14)(20)(11)[/tex]

[tex]6.28(400) + 6.28(220) \\ 2512 + 1381.6 = 3893.6 {mi}^{2} [/tex]

Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. The equation has two real solutions. The equation has no real solutions. D The number of solutions cannot be determined​

Answers

Answer:

{-1, 5} (two real solutions).

Step-by-step explanation:

On the left side we want x^2, not x?

We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:

x^2 - 4x + 5 = 0

This factors easily to (x - 5)(x + 1) = 0.

We let each factor equal zero (0) separately and solve for x:  

{-1, 5} (two real solutions).

During lockdown down period people work very puzzled and their decided to play some game firstly they collect the 17 cards and write the numbers 1 to 17 put them in a box people make a bet from the chance of drawing the number either the prime or even number
etc.

Answers

From the universal set; N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}

Probability of drawing an even or prime number will be 15/17.

What is Probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.

N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}

Prime = {1,2,5,7,11,13,17}

Even = {2,4,6,8,10,12,14,16}

Pr(Prime) = 7/17

Pr(Even) = 8/17

Pr(Prime or even) = 7/17 + 8/17

Pr(Prime or even) = 15/17

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Find expressions for the possible dimensions of the rectangular prism.
V = 12y3 + 13y2 + 3y​

Answers

Answer:

Step-by-step explanation:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Answer:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Step-by-step explanation:

it's this write ... comments plz have a nice day

Find the distance between the pair of points.

(−6, 4) and (−9, 4)

Answers

Answer:

6

Step-by-step explanation:

6

I need some help with the problem from my math class (-4w - 7)5

Answers

-20w-35

I used the distributive property to distribute terms, and then simplified

The width of a rectangle measures (8p+5) centimeters, and its length measures (4p + 4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle​

Answers

Answer:

Perimeter = 24p + 18 cm

Step-by-step explanation:

Perimeter = 2[(8p+5)+(4p+4)]

simplify:

Perimeter = 16p + 10 + 8p +8

combine like terms:

Perimeter = 24p + 18

Plz help will mark brainliest

Answers

Answer:1/3

Y2-y1/x2-x1

3-1/9-6=2/6=1/3
ANSWER: 1/3

to find slope, solve (y2-y1)/(x2-x1)

(3-1)/(9-3) = 2/6 = 1/3

IS THERE A SOLUTION ?? IF SO , WHAT IS IT ?? PLEASE HELP !! I WILL MARK BRAINLIEST !!!!

Answers

Answer:

y=4x+2

Step-by-step explanation:

-8x+2y=4

y=4x+2

−8x+2(4x+2)=4-8x+2(4x+2)=4

y=4x+2

−8x+8x+4=4-8x+8x+4=4

y=4x+2

0+4=40+4=4

y=4x+2

4=4

y=4x+2

How do you write 1 2 as a power of 2?

Answers

Answer:

12² = 144

12 to the power of 2 us equal to 144

a solid metal sphere of volume 1280cubic centimeters
is melted down and recast into 20 equal solid cubes.fund length of the side of each cube
a solid m or a solid m fear of volume ​

Answers

To find the length of the side of each cube, we first need to determine the total volume of the recast metal.

As we know the sphere has a volume of 1280 cubic centimeters, and it is being recast into 20 equal solid cubes.

The volume of each cube is the same, so we can divide the total volume of the sphere by the number of cubes to find the volume of each cube:

Volume of each cube = 1280 cm^3 / 20 = 64 cm^3

The volume of a cube is given by the formula: V = s^3, where s is the length of a side.

so, s^3 = 64 cm^3

solving for s, we get s = ∛64 = 4cm

So, the length of the side of each cube is 4 cm.

Why is triangle always 180 degrees?

Answers

Triangle is always 180 degrees because the sum of all angles in a triangle is 180 degrees. This is known as the "Triangle Angle Sum Theorem." The theorem states that the sum of all angles in a triangle is equal to 180 degrees.

1. A triangle is a three-sided polygon with three angles.

2. The sum of the three angles in any triangle must be 180 degrees.

3. This is known as the Triangle Angle Sum Theorem.

4. The Triangle Angle Sum Theorem states that the sum of the angles in a triangle must equal 180 degrees.

5. It does not matter which angles the triangle has, the sum will always equal 180 degrees.

6. This theorem is based on the fact that the sum of the angles in any triangle is equal to two right angles or 180 degrees.

7. The Triangle Angle Sum Theorem can be proven by drawing a triangle, and then measuring and adding the three angles.

8. The sum of the three angles will always equal 180 degrees.

9. Therefore, triangle is always 180 degrees.

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Time vs. Position of Battery Operated Car
5
4
Position (m)
2
0
5
10
Time (s)
15
20
What type of relationship is shown in the graph?
a non-linear, negative relationship
a linear, negative relationship
a linear, positive relationship
O a non-linear, positive relationship

Answers

A linear, negative relationship is the type of relationship which is shown in graph of Time vs. Position of Battery Operated Car .

what is linear equation ?

A linear equation is an algebraic expression such as y=mx+b. The slope is m, and the y-intercept is B. A "linear equation in two variables" is the term used to describe the previous sentence, which has variables named y and x. Two different variables can be found in bivariate linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

The area's 46-16 opposed to 14 is different from the area's 18 and T in a different way. The place is there. It isn't linearly getting farther apart. The lee is actually growing as a result.

Option B, the slanting upwards, is what we're going to go with. Since it will be linear, it isn't option C. It is untrue that the speaking has not been constant over the distance. Because it is a D-option, this increase-decrease is untrue. Option B is the best choice. Absolutely.

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Graph the image of square CDEF after a dilation with a scale factor of 2, centered at the
origin.

pls help lol

Answers

Answer:

Image attached

Step-by-step explanation:

Origin looks to be (0, -1), so move each point out by 2

Please hurry it is timed and i need help!

Answers

The best option regarding the solutions of the trigonometric equation presented in this problem is given as follows:

A. 60º + n360º, 300º + n360º.

How to solve the trigonometric equation?

The trigonometric equation for this problem is defined as follows:

[tex]\cos{x} - \sqrt{1 - 3\cos^2{x}} = 0[/tex]

Then, isolating the cosine, we have that:

[tex]\cos{x} = \sqrt{1 - 3\cos^2{x}}[/tex]

Applying the square for both sides, we have that:

cos²(x) = 1 - 3cos²(x).

4cos²(x) = 1.

cos²(x) = 1/4

cos²(x) = 0.25.

Applying the square root to both sides, we have that:

cos(x) = 0.5.

Meaning that the angle measures of x with the cosine of 0.5 are given as follows:

x = 60º, x = 300º.

(as the cosine is positive on the first and fourth quadrant).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option a is correct.

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You work at an oil refinery and are in charge of draining a tank until the
are 635 gallons left inside. The tank starts with 827 gallons, and you c
drain it at a rate of 48 gallons per minute. How many minutes do you
need to drain the tank to the right level?
You need
minutes.

Answers

4 minutes
Explanation below

Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith’s assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities he should delegate to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn’t have time to teach the assistant to be an accountant

Answers

The tasks that Keith can delegate to the assistant are List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet, Add the Debit and Credit columns of the trial balance and Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet.

List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet: Keith should delegate this task to his assistant. This is a relatively straightforward task that does not require a deep understanding of accounting principles. The assistant can be provided with clear instructions on how to pull the account balances from the general ledger and list them in the trial balance columns of the spreadsheet.

Add the Debit and Credit columns of the trial balance: Keith should delegate this task to his assistant. This is a simple arithmetic task that the assistant can perform with clear instructions.

Make the adjusting entries on the spreadsheet: Keith should retain this task. Adjusting entries involve more complex accounting knowledge and require a deeper understanding of accounting principles. It would be difficult for the assistant to complete this task without proper training.

Complete the spreadsheet: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.

Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet: Keith should delegate this task to his assistant. The assistant can be provided with clear instructions on how to organize the data from the spreadsheet into formal financial statements. It does not require a deep understanding of accounting principles.

Journalize and post the adjusting entries: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.

--The question is incomplete, answering to the question below--

"Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith's assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities could be delegated to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn't have the time to teach the assistant to be an accountant.

For each task listed, state whether Keith should continue to do the work or delegate the task to his assistant. Explain each answer.

1. List the account balances from the general ledger in the Trial Balance columns of the work sheet.

2. Add the Debit and Credit columns of the trial balance.

3. Make the adjusting entries on the work sheet.

4. Complete the work sheet.

5. Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the work sheet.

6. Journalize and post the adjusting entries."

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A new water park was designed to contain two circular pools. Pool A has a diameter of 60 m, and pool B has a diameter of 80 m. a) If the designer wants to outline the pools with rope lights, how many meters will be needed to outline the smaller pool? (Use 3.14 for π.)

Answers

Answer:

140

Step-by-step explanation:

60+80=?......All you need to do is just add 60 and 80 and get the product

I hope that helped.

A container has 2 cups of milk in it. How many 1/4 cups are in the container?
Explain or show your reasoning.

Answers

the answer is 8. to find this answer you can divide 2 by 1/4…multiply the 2 by the reciprocal of 1/4. 2 * 4/1








please answer asap!

Answers

Answer:

10.2 is the answer not sure

the median of the table is 22.
hope this helps.

Can u help me with this

Answers

Answer:

D)  (6.6, 7.4)

Step-by-step explanation:

Begin by finding the margin of error based on the given information.

[tex]\boxed{\begin{minipage}{7.3cm}\underline{Margin of Error formula}\\\\$\textsf{Margin of Error}= Z \times \dfrac{S}{\sqrt{n}}$\\\\where:\\\phantom{ww} $\bullet$ $Z =$ $Z$ score\\\phantom{ww} $\bullet$ $S =$ Standard Deviation of a population\\\phantom{ww} $\bullet$ $n =$ Sample Size\\\end{minipage}}[/tex]

Given:

S = 1.3n = 50

The z-score for 95% confidence level is 1.96.

Therefore, to find the margin of error, substitute the values into the formula:

[tex]\implies \textsf{Margin of Error}= 1.96 \times \dfrac{1.3}{\sqrt{50}}[/tex]

[tex]\implies \textsf{Margin of Error}=0.360341...[/tex]

To find a reasonable range for the true mean number of hours a teenage spend on their phone, subtract and add the margin of error to the given mean of 7 hours:

[tex]\begin{aligned}\implies \textsf{Lower bound}&=7-0.360341...\\&=6.63965...\\&=6.6\;\; \sf (1\;d.p.)\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Upper bound}&=7+0.360341...\\&=7.360341...\\&=7.4\;\; \sf (1\;d.p.)\end{aligned}[/tex]

Therefore, the reasonable range for the true mean is:

(6.6, 7.4)

Talia attended a 5-day math camp that lasted 5/6 of an hour each day. How many total hours did Talia spend at math camp?

Answers

Answer:

Total hour Talia spend at math camp = 100 hour

Step-by-step explanation:

Given:

Number of days = 5 days

Per hour attended = 5/6 per hour

Find:

Total hour Talia spend at math camp

Computation:

Total number of hour per day = 24 hour

Total hour Talia spend at math camp = Number of days x Per hour attended x

Total number of hour per day

Total hour Talia spend at math camp = 5 x 5/6 x 24

Total hour Talia spend at math camp = 5 x 5 x 4

Total hour Talia spend at math camp = 25 x 4

Total hour Talia spend at math camp = 100 hour

It is a problem about the systems of equations that do not arise.
It is desired to distribute 420 € among three people, so that the first has €40 more than the second, and the third has half of what they have between the first two.
a) It proposes a system of linear equations to calculate what corresponds to each one. b) It solves, using the Gauss method

Answers

The solution to the equations is

The value of first x = € 160

The value of second y = € 120

The value of third z = € 140

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first , second and third be represented as x , y , and z

The total amount to be distributed = € 420

So , x + y + z = € 420   be equation (1)

Now , first has €40 more than the second

So , x = y + 40   be equation (2)

And , third has half of what they have between the first two

So , z = ( 1/2 ) ( x + y )   be equation (3)

Substituting the value of x in the equation (3) , we get

z = ( 1/2 ) ( 2y + 40 )

z = y + 20   be equation (4)

Substituting the value of z and x in equation (1) , we get

( y + 40 ) + y + ( y + 20 ) = 420

On simplifying the equation , we get

3y + 60 = 420

Subtracting 60 on both sides of the equation , we get

3y = 360

Divide by 3 on both sides of the equation , we get

y = € 120

Therefore , the value of x = € 160

The value of z = € 140

Hence , the solution to the equation is € 160 + € 120 + € 140 = € 420

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Quadrilateral STUV is rotated 270° counterclockwise about the origin. If the coordinates of V were (3, -4), what are the coordinates of V’?

Answers

Given:

Quadrilateral STUV is rotated 270° counterclockwise about the origin.

The coordinates of V were (3, -4).

To find:

The coordinates of V’.

Solution:

If a figure rotated 270° counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

The coordinates of V were (3, -4). Using the above rotation rule, we get

[tex]V(3,-4)\to V'(-4,-3)[/tex]

Therefore, the coordinates of V’ are (-4,-3).

What is the coefficient in this expression?
12 - x + 3

Answers

The coefficient is -1

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