Someone please help me solve the problem

Someone Please Help Me Solve The Problem

Answers

Answer 1
The ration is square to circle
Answer 2
Answer is  3:pi

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

Explanation:

Check out the diagram below.

We have the following points

A = center of both the circle and the squareB = point on the circle directly to the left of point AP,Q,R,S = corner points of the squareE = intersection of segments AB and PSF = point on the square directly to the right of point AC and D = intersection of segment PS and the circle

Let x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.

We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.

At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.

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

To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.

Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]

The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.

Use these two facts to find the area of each in terms of x.

[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]

[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]

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

The last step is to divide the two results. The x^2 terms cancel out.

We'll be left with...

[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]

There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.

Someone Please Help Me Solve The Problem

Related Questions

A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

44.6 megabytes

Step-by-step explanation:

If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.

261= 100

? = 17.1

It means that (17.1x261)/100 = 44.631

If we round our answer it equals 44.6

Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.

Answers

Answer:

31

Step-by-step explanation:

thye blow up 36 balloons in total but 5 pop 36-5=31

Find the EXACT distance between the two points.



(9, 31) and (12, 25)

Answers

Subtract the big x coordinate from the small x coordinate and the big y coordinate from the small y coordinate. 12-9=3, and 31-25=6. 3 X points and 6 y points away.

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.

and so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a, b being the legs.

so,

the x difference is 9-12 = -3

the y difference is 31-25 = 6

therefore,

distance² = (-3)² + 6² = 9 + 36 = 45

distance = sqrt(45) = 6.708203932...

Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder

Answers

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?

plz answer this

Answers

We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)

estimate the area of the following irregular shapes

Answers

Answer and Explanation: We will find the area of the given shape:

To find the area, we will count the number of squares of the shaded area.

While calculating the area for a more accurate estimate, we count the square as “1” if the shaded region covers more than half of each square. By counting the squares, the area is approximately 50 square units.

in a class of 40 students, only 20% of the students are participating in an art competition. how many students are not taking part in the competition?​

Answers

Answer:  32

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

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

simplest form of 3/4+1/12

Answers

Answer:

5/6

Step-by-step explanation:

Which has a greater rate of change?
pick one

Answers

I think the yellow line.
It’s the steepest so I has the greatest rate of change.

what is 56 inches in meters rounded to the nearest hundredth

Answers

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

2,826 rounded to the nearest tenth

Answers

Answer:

2,830

Step-by-step explanation:

Graph the point (−1, 5/2) on the coordinate plane.

PLEASE HELP ASAP

Answers

Answer:

The answer is 2 1/2

Step-by-step explanation:

The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin and has been plotted below.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinate is the denotation of horizontal and vertical distinctions in a coordinate plane with actual distance as per a given scale factor.

The general form of coordinate (x,y) shows x distance far from the origin in the horizontal direction and y distance far from the origin in the vertical direction.

(-1,5/2) → -1 units refer to 1 unit left due to the minus sign.

5/2 = 2.5 its positive so 2.5 units up.

Hence "The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin".

For more about coordinates,

brainly.com/question/7869125

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How to solve math equation

Answers

By using a calculator

d.One rectangle weighs what

Answers

Answer:

the answer is 2

Step-by-step explanation:

because 7 + 2 = 9 then 9+2=11

make r the formula t=r/r-3

Answers

Answer:

R = 3t/t₋1

Step-by-step explanation: I'm not sure if its correct.

PLEASE ITS DUE 5 MINS

Answers

Answer:

I'm sorry pls retake the pic really quickly.. I can't see the entire problem!

Then I'll add my answer if I can! Thx!

What is the estimated difference between 7 6/11−5 13/15 ?

Answers

Answer:

1 1/2

Step-by-step explanation:

7 6/11−5 13/15

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.

Find the distance between the two points. (-2,1) (1,-2) Enter the number that goes beneath the radical symbol​

Answers

Answer:

4.242641

Step-by-step explanation:

d=[tex]\sqrt{(1-(-2))^{2}+(-2-1)^{2} }[/tex]

d=[tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]

d=[tex]\sqrt{9+9}[/tex]

d=[tex]\sqrt{18}[/tex]

d=4.242641

(does it deserve a Brainliest)

Please help it’s a test and it is past due!!! NO LINKS please!!!!
Use the substitution method to solve the system of equation!!! Choose the correct ordered pair!?!? Use the picture below to help you!!

Answers

Answer:

The answer is C. (-2, 7)

Good luck :)

PLEASE HELP ME!!! GIVING BRAINLIEST

Answers

Hi there! I am here to help with your question.

I believe the answer is A, 39°, 57 minutes 23.76 seconds.

Thank you and I hope this helped.

Answer:

The correct answer is A

Step-by-step explanation:

hope it will help you

Mathematic 19 don’t understand

Answers

Answer:

1.75 x 10^3

Step-by-step explanation:

This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.

So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.

The final step is just dividing 7 by 4 which is 1.75

Combine the power and 1.75 together to get the correct notation

1.75 x 10^3

System of equation

Value of b

Answers

[tex]8a + 9b = 12 \\ a + b = \frac{12}{8} \div 9 \\ = - 6[/tex]

Ajug contains 42 liters of milk. How
many milliliters of milk does it contain?
420 mL
B
4,200 mL
42,000 mL
4.2 mL

Answers

Based on the information given the number of milliliters of milk does it contain is 42,000 mL.

1 liter=1000 ml

Using this formula

Number of milliliters=Number of liters×1,000 ml

Where:

Number of liters=42 liters

Let plug in the formula

Number of milliliters=42 liters×1,000 ml

Number of milliliters=42,000 ml

Inconclusion  the number of milliliters of milk does it contain is 42,000 mL.

Learn more about milliliters here:https://brainly.com/question/1295017

Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers

Answers

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

https://brainly.com/question/28853516

#SPJ2

5 3/5 divide by 2 2/3

Answers

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Which equation represents a line that is perpendicular to y = 3x - ?

Answers

Answer: y=-1/3x+4

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:

y=mx+b

y=3x-4

m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:

Therefore, y=-1/3x+4 is the correct answer.

Pls help again what’s 2.8446 rounded to the nearest hundreth

Answers

Answer:

2.84

Step-by-step explanation:

Since 4 is below 5, you would not round 2.84 to 2.85

The sum of three consecutive numbers is 75.
What is the smallest of the three numbers ?

Answers

Answer:

Step-by-step explanation:

y + y + 1 + y + 2 = 75

3y + 3 = 75

3y = 72

y = 24

y +1 = 25

y + 2 = 26

24 + 25 +26

49 + 26 = 75

Answer: 24, 25, 26

-233.2 - 25.8
Please help.

Answers

Answer:

-259

Step-by-step explanation:

brainliest

Answer:

-259

Step-by-step explanation:

Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.

Subtracting Negative and Positive Integers

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

Example: 14 - (-6) = 14 + 6 = 20

If both signs are negative, the answer will be negative.

Example: -14 - (+6) = -14 - 6 = -20

If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.

Example: 14 - (+6) = 14 - 6 = 8

Example: -14 - (-6) = -14 + 6 = -8

Translate each of the following algebraic expressions into word phrase.

7x-7​

Answers

-49x

Multiplying a positive and a negative equals a negative:
-7x7
Which gets you -49x
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