a 5cm x 11cm rectangle sits inside a circle with a radius of 12cm

what is the area of the shaded region? the shaded region is the circle - the rectangle inside it.

Answers

Answer 1

Answer: 397.39 cm2

Step-by-step explanation:

Hi, first we have to calculate the area of the circle:

Area of a circle = π x r^2

Replacing with the values:

A(C) =π x 12^2 = 452.39cm2

Now, we have to calculate the rectangle area:

Rectangle area = width x length = 5 x11 = 55cm2

Finally, since the shaded region is the circle and the rectangle is inside of it, we have to subtract the area of the rectangle to the area of the circle:

452.39 -55 = 397.39 cm2

Feel free to ask for more if needed or if you did not understand something.

Answer 2

Answer:

397.39

Step-by-step explanation:

extras...


Related Questions

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the nearest degree, how many degrees does the tower tilt from vertical?​

Answers

Final answer:

Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.

Explanation:

The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.

However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.

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Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.

The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).

We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).

Identify the opposite and adjacent sides:

Horizontal shift (opposite) = 13.5 feetHeight of the tower (adjacent) = 180.45 feet

Use the tan function to find the angle:

tan(θ) = opposite / adjacent = 13.5 / 180.45

Calculate the tangent value:

tan(θ) ≈ 0.0748

Find the angle θ using the arctan function:

θ = arctan(0.0748) ≈ 4.28 degrees

Round to the nearest degree:

θ ≈ 4 degrees

Therefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.

Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground,
descending 3 meters each minute.
Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in
minutes)
Elevation (meters)

Answers

Answer:

If you are looking for coordinates then its (0,5) (5,-20)

Step-by-step explanation:

Mr. Mole's burrow lies 5 meters below the ground. This is the same as saying that when Time is 0, Elevation is -5.

Therefore, the graph of the relationship should pass through the point (0,-5)

We are also given the rate of change of the relationship: 3 meters per minute. This means that when Time increases by 1, Elevation decreases by 3.

Therefore, the graph should also pass through the point                                (0+1,-5-3), which is the point (1,-8) However, this point doesn't appear on the grid! We need to find an equivalent pair of corresponding changes that would help us find a point that we can graph.

Note, for instance, that when Time increases by 5, Elevation decreases by 5x3= 15. Therefore, the graph should pass through the point

(0+5,-5-15)which is the point (5,-20)

Sorry if its confusing :(

Answer:

the coordinates are (0, -5) and (5, -20)

Step-by-step explanation:

Sort the options based on whether they are costs or benefits of owning insurance

copayments

Costs

Benefits

premiums

risk management

protection from devastating costs

peace of mind

deductibles

Intro

Done

Q0000000000000

Answers

COST:

•premiums

•copayments
•deductibles


BENEFITS

•risk management

•peace of mind
•protection from devastating cost

The options when sorted by whether they are costs or benefits of insurance would be:

Costs:

PremiumsCopaymentsDeductibles

Benefits:

Risk managementProtection from devastating costsPeace of mind

What are some insurance terms ?

Premiums, copayments, and deductibles are all financial costs associated with owning insurance. Premiums are the regular payments that you make to your insurance company in order to maintain coverage.

Copayments are the amounts that you pay out of pocket when you receive medical care or other covered services. Deductibles are the amounts that you have to pay out of pocket before your insurance company starts paying for covered services.

Risk management, protection from devastating costs, and peace of mind are all benefits of owning insurance. Insurance can help you to manage your financial risk by protecting you from unexpected expenses

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Will give brinliest to whoever gives a step by step

Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?

5y = 2
5y = 10
11y = 2
11y = 10

Answers

Answer:

5y = 2

Step-by-step explanation:

To solve this equation, you have to simplify both sides of the equation, and arrange the terms so that all the values with a variable are on one side, and all the values without a variable are on the other side:

8y + 4 = 6 + 2y + 1y

8y + 4 = 6 + 3y

8y - 3y = 6 - 4

5y = 2

In a game, if you roll a 2 or a 3 on a 6-sided number cube, you lose a turn. NOTE: This is just using one number cube. a. What is the probability that you roll a 2 or 3, P (2 or 3)? Explain your reasoning. (2 points possible) b. What is the probability that you don’t roll a 2 or a 3, P (NOT a 2 or 3)? Explain your reasoning.

Answers

Answer:

(a)1/3

(b)2/3

Step-by-step explanation:

This is a 6-sided number cube, therefore total possible outcomes, n(S)=6

(a)Probability of rolling a 2 OR 3 =P(2)+P(3)

[tex]=\dfrac{1}{6} +\dfrac{1}{6} =\dfrac{2}{6}\\= \dfrac{1}{3}[/tex]

(b)Probability of not rolling a 2 OR 3

In probability, the sum of the probability of an event and its complement is always 1.

Therefore:

P(Rolling a 2 or 3)+P(Not rolling a 2 or 3)=1

From part (a) above:

Probability of rolling a 2 OR 3=[tex]\dfrac{1}{3}[/tex]

Therefore:

[tex]\dfrac{1}{3}+$P(Not rolling a 2 or 3)=1\\P(Not rolling a 2 or 3)=1-\dfrac{1}{3}=\dfrac{2}{3}[/tex]

Find the area of this circle???

Answers

Answer:

50.3? im not exactly sure if this is right

Step-by-step explanation:

Area of circle

=πr²

=22. ×4×4

7

=22×16

7

= 352

7

=59.3

what times 1/2 equals -7/3

Answers

Answer:

-14/3

If that isn't right then sorry

A grocery store sells roasted almonds in bulk. What is the price per pound for the almonds?

A. $4.50

B. $5.00

C. $7.50

D. $8.00

Answers

Answer

8 is WRONG! The correct answer is 7.50

Step-by-step explanation:

Which expressions can be used to compute the approximate area of triangle xyz? check all that appy

Answers

Answer:

The answer is 1st point, 1/2×22.0×23.1

Step-by-step explanation:

You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.

Enter the trigonometric equation you would use to solve for y in the following right triangle. Do not solve the equation.

Answers

Answer:

cos^-1(12/13) = x

Step-by-step explanation:

auxhsjzjdjsjsskksnsis

What is the simplified form of the following expression?
4x
5
34x
5
3/20
5
3 /100%
5
3/100
125

Answers

3^√100x/5

If you want to make math problems I recommend the Photomath app.

A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 cm: 5 feet.

What are the dimensions of the scale drawing?

Answers

Answer:

24cm x 15cm

Step-by-step explanation:

120/5 = 24 cm

as 24 cm x 5 = 120 feet.

We check 75 feet

75/5 = 15 cm

as 15 cm x 5 = 75 feet

So the answer is 24cm x 15cm

Brian invests £1300 into his bank account.

He receives 10% per year simple interest.

How much will Brian have after 3 years?

Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

please solve for x

solve 2/3x - 1/5 > 1

Answers

Answer:

x  > 9/5

There you go

Answer:

x>9/5

Step-by-step explanation:

GIVING BRAINLIEST PLEASE ANSWERR ASK ME A QUESTION AB THE PROBLEM IF YOU NEED TO!!! Tomo is making brownies he has 4/3 cups of sugar. He needs 1/3 cup of sugar to make one whole batch of brownies. Tomo can make _____ one whole batch of brownies. Tomo can make exactly _____ batch(es) of brownies with the sugar he has.

Answers

Answer:

Tomo can make 4 batches of brownies.

Step-by-step explanation:

The way I did it is I subtract and counted how many times I subtracted until I got to zero. Like so: 4/3 - 1/3 = 3/3.  3/3 - 1/3 = 2/3. 2/3 - 1/3 = 1/3. 1/3 - 1/3 = 0.

Count it, and it equals four.

I know there is other ways to find the answer, but this is just how I did it.

I hope this helps!

Answer:

Tomo can make more than one whole brownie

4 batches of brownies ^^

Step-by-step explanation:

A survey of two communities asked residents which candidate they supported for a local election. The survey data are shown in the relative frequency table.

What percentage of the Mountain View residents polled supported Olunloyo?

A. 18%
B. 30%
C. 37.5%
D. About 47%​

Answers

Answer:

the answer is D

Step-by-step explanation:

i believe it because of the total

The percentage of Mountain View residents polled who supported Olunloyo is 18%.

To find the percentage of Mountain View residents who supported Olunloyo in the survey, we can use the relative frequency table provided. The relative frequency for Olunloyo in Mountain View is 0.18.

To calculate this as a percentage:

Percentage= 0.18*100%= 18%

Therefore, the percentage of Mountain View residents polled who supported Olunloyo is 18%.

So, the correct answer to the question is:

A. 18%.

Describe the graph of a quadratic equation that has exactly one solution. How can you tell there is only one solution?

Answers

Answer:

For a quadratic equation, a graph that has one solution will only intersect the x-axis ONE time. This is seen when the vertex of the parabola rests on the x axis.

You roll a number cube 20 times. The number 4 is ro
probability of rolling a 4?
O 40%
O 25%
O 20%
0 17%​

Answers

It would be 40 answer A

What are the solutions of x2 -7x+13 = 0 ?

Answers

Answer:

x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i

x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i

Step-by-step explanation:

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-7x+13

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -7 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 7x + 13  = 0

This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!

Which function is graphed below?
A: y=1/2sin(x)-2
B: y=2sin(x)-1/2
C: y=1/2cos(x)-2
D: y=2cos(x)-1/2

Answers

Answer:

C y=1/2cos(x)-2

I'm not sure if it is right

My head hurts so its hard for me to concentrate

Find the area of the parallelogram YORKYORKY, O, R, K plotted below. Round your final answer to the nearest hundredth.

Answers

Answer:

Area of a parallelogram = base × height

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel and equal to each other. Opposite angles are equal . The picture below is a parallelogram. Notice that angle D is equals to angle B and angle A is equals to angle C.

The height is gotten by drawing a straight line from a point to form a right angle triangle.  If the height is unknown you can use Pythagoras theorem to get the height when the base of the right angle triangle and sides of the parallelogram is known.

If the base of the parallelogram is 10 . 25 cm (side AB and DC ) and the height is 4.28 cm , the

area =  base × height

area = 10.25 × 4.28 = 43.87  cm²

The value is already in it nearest hundredth.

The tape diagram represents an equation.
8
q
12
Find the value of q that makes the equation true.

Answers

Answer:

q = 4

Step-by-step explanation:

this is your equation

8 + q = 12

rearrange to find q

q = 12 - 8

q = 4

Answer:

4

Step-by-step explanation:

Find the area of each regular polygon. Round to the nearest tenth. Please help I will make brainliest

Answers

Answer:

about 317

Step-by-step explanation:

You can break up the pentagon into 5 isoceles triangles

with length of 20√3/3 for the legs. Using the law of Sines are formula, we can see the area of one triangle is the leg * leg * sin(joining angle) /2.

The angle measure between it is 360/5 = 72 degrees.

So we plug it in and we get 317.01 ish.

I hope that helped and i need a brainly mark please :)

The Area of Pentagon is 363.43 mm².

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have, Apothem= 10mm

So, Perimeter of Pentagon

= 10 x 7.267

= 72.67 mm

Now, side of pentagon = 72.67/ 5= 14.534 mm

So, Area of Pentagon

= 1/4 √5(5+2√5) a²

= 1/4 √5(5+2√5) (14.534)²

= 363.43 mm²

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What lines are parallel to the line y= 6x + 8

Answers

Answer:

y = 6x + 24

Step-by-step explanation:

Remember, any line can be parallel to y= 6x + 8 as long as it has the same slope (m, or in this case 6), and a different b (in this case 8).

y=6x+24 i’m pretty sure

Solve for y! 8x - 4y = -28

Answers

y = 2x + 7 in the equation 8x - 4y = -28, isolate y on one side by subtracting 8x from both sides and then dividing by -4.

Solve for y: 8x - 4y = -28

Start by isolating y on one side of the equation.

Subtract 8x from both sides to get -4y = -8x - 28.

Finally, divide by -4 to find y = 2x + 7.

Find the third side in simplest radical form:​

Answers

Answer:

The third side is 8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

a^2 + 15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

a= 8

I NEED HELP PLEASE!!!!!!!!!!!

Answers

Answer:

i would love to help but there is no question :(

Step-by-step explanation:

Answer:

I'm sorry, I'd love to help but there isn't a question. Have you tried putting the question again?

Solve the inequality 8x + 4 > 20

Answers

Answer:

x>2

Step-by-step explanation:

8x+4>20Subtract 4 from both sides to get 8x>16Divide both sides by 8Answer is x>2

The solution of inequality is,

⇒ x > 2

We have to given that;

The inequality is,

⇒ 8x + 4 > 20

Now, We can solve the inequality as;

⇒ 8x + 4 > 20

⇒ 8x + 4 - 4 > 20 - 4

⇒ 8x > 16

⇒ 8x - 16 > 0

⇒ 8 (x - 2) > 0

⇒ x - 2 > 0

⇒ x > 2

Since, 8 ≠ 0

Hence, The solution of inequality is,

⇒ x > 2

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R and _T are complementary. Ifm ZR= 3x and m _T=2x, what is the value of x?Type a numerical answer in the
space provided. Do not type spaces in your answer

Answers

Answer:

Step-by-step explanation:

∠ R + ∠T =  90   {R & T are complementary}

3x + 2x = 90

5x = 90

x = 90/5

x = 18

Triangle ABC is rotated clockwise to create triangle A'B'C'. What is the angle of rotation?

Now

BA 1

5

4 3

2

1

1 2

3

4

5

Answers

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

How to determine the angle of rotation?

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

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