Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pie.

Answers

Answer 1

Answer:

A ≈ 1386 m²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Circle Formula: A = πr²

r is radius r

Step-by-step explanation:

Step 1: Define

Radius r = 21 m

Step 2: Solve

Substitute in variables [Area of a Circle Formula]:                                       A ≈ (22/7)(21 m)²Evaluate exponents:                                                                                        A ≈ (22/7)(441 m²)Multiply:                                                                                                            A ≈ 1386 m²
Answer 2

Answer:

1386 m²

ya i dont know

how to say it but it the answer


Related Questions

C Clodi Que Significan las siglas SGR?​

Answers

Answer:

Es el acronimo de la (Contraloría General de la República

Step-by-step explanation:

Espero ayudarte suerte

Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.

find exact value sin 9pie/ 4

Answers

The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

We have to given that;

Expression to find exact value is,

⇒ sin 9π/4

Now, WE can change it into degree as,

⇒ 9π/4

⇒ 9 × 180 / 4

⇒ 9 × 45

⇒ 405 degree

Hence, We get;

⇒ sin 9π/4

⇒ sin 405°

⇒ sin (360 + 45°)

⇒ sin 45°

⇒ 1 / √2

Thus, The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

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Determine the number of real solutions of the following system of equations.
y = x^2 + 1
y=1
O 3
O 0
O 2
O 1

Answers

It has one solution x=0

Equation with one solution 8x-3x+2-x=

Answers

\(\fbox{4x+2}\)

Simplify:

\(8x-3x+2\)

\(8x+-3x+2+-x\)

Combine Like Terms:

\((8x+-3x+-x)+(2)\)

\(4x+2\)

Please help with this question ASAP! Thanks!

Please help with this question ASAP! Thanks!

Answers

Answer:

The equivalent expression is  \(8.25\cdot y -14\).

Step-by-step explanation:

Let \(4\cdot (1.75\cdot y -3.5)+1.25\cdot y\), we proceed to simplify the expression by like terms and other algebraic operations:

1)  \(4\cdot (1.75\cdot y -3.5)+1.25\cdot y\)  Given

2) \([1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y\) Commutative property/Definition of subtraction.

3) \((1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y\) Distributive and associative properties.

4) \(7\cdot y +(-14)+1.25\cdot y\) Definition of multiplication/\(a\cdot (-b) = - a\cdot b\)

5) \((7+1.25)\cdot y -14\) Commutative and distributive properties/Definition of subtraction.

6) \(8.25\cdot y -14\) Definition of addition/Result

The equivalent expression is  \(8.25\cdot y -14\).

From the tower of 32meter of heights,a car is observed at angle of the depression of 55 degrees. Find how far the a car from the tower

Answers

the car is approximately 22.4 meters away from the tower.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

we can write:

tan(55 degrees) = 32 / d

To solve for "d", we can rearrange the equation:

d = 32 / tan(55 degrees)

Using a calculator, we can evaluate the tangent of 55 degrees:

tan(55 degrees) = 1.428

d = 22.4 meters

Therefore, the car is approximately 22.4 meters away from the tower.

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Who can answer this?

Who can answer this?

Answers

Answer:

B

Step-by-step explanation:

B
Explanation: it’s mirroring the other side

PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O

PLS HELP METhe function f(x) = -3(2)+ +90 represents the number of tokens a child has x hours after arriving

Answers

Answer:

Practical domain:  0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".

(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.

(PLEASE HURRY! WILL AWARD BRAINLIEST)Find the value of x to the nearest tenth. Show your work.

Answers

8.3/6.7=x/11.6
Cross multiply and you get 6.7x=96.28
Solve and you get 14.3701
Then you round to the nearest 10th so your answer is 14.4 for the missing length

Solve for x

-2(3x-5)=16

Answers

Answer:

x= -1

Step-by-step explanation:

-2(3x-5)=16

-6x + 10 = 16

-6x=16-10

-6x= 6

x = -1

-2 (3x-5)=16

-6x+10=16

-6x=16-10

-6x=6

-6x = 6

___ _

-6 = -6

x=6

_

-6

x=1

ans

(__mean upon)

drag each figure to show if it is similar to the figure shown or why it is not similar

Answers

Answer:

In the given shapes above, we can see that all shapes have four sides.

Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.

First two shapes are Rectangles.

Third is a parallelogram.

Fourth and fifth shapes are Rectangles again.

Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)

Below shown shape has only three sides in it.

It is called a triangle when a shape has three sided close figure.

So, we could drag : Not similar - Different Type of shape.

What’s the correct answer answer asap

Whats the correct answer answer asap

Answers

Answer:

The answer should be B.

help meeeeeee pleaseee !!!!

help meeeeeee pleaseee !!!!

Answers

So, we are writing a function. c(x) is the manufacturing costs, and x is the amount of bikes manufactured. The y-intercept is 1908 because when no bikes are manufactured it still costs 1908 to run the factory. The slope is 75 because it costs $75 to create a bike. So, y = mx + b, where m is the slope and b is the y-intercept is:

c(x) = 75x + 1908

6th grade math , help me please :)

6th grade math , help me please :)

Answers

Answer:

A= 20x

B= 15n

C= 15x+ 9

D= a + 15

E= 9x + 3y

F= 10w + 10z

Step-by-step explanation:

A farmer wants to construct a fence around his rectangular garden which is 204 feet long by 142 wide. How many linear feet of fencing is required?

Answers

The linear feet of fencing in the rectangular garden s 692 feet

How many linear feet of fencing is required?

From the question, we have the following parameters that can be used in our computation:

Length  = 204 feet

Width = 142 feet

To calculate the amount of linear feet of fencing that is required, we make use of the following perimeter equation

Linear feet of fencing = 2 * (Length + Width)

Substitute the known values in the above equation, so, we have the following representation

Linear feet of fencing = 2 * (204 + 142)

Evaluate

Linear feet of fencing = 692

Hence, the linear feet of fencing is 692 feet

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this is a proportions question

this is a proportions question

Answers

In the above proportions problem, note that the distance of PR is 155.17ft.

What is the explanation for the above response?

To solve for PR, note that

OC/RE = PR/OR

That is:

225/145 = PR/100

To solve for PR, we can cross-multiply the fractions:

225 * 100 = 145 * PR

22,500 = 145PR

Dividing both sides by 145:

PR = 155.17

Therefore, PR is approximately 155.17ft

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Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =

Find the dot product of u and v.u = (4, 1)v = (5,-4)UxV =

Answers

Refer to the photo taken.
Answer: -24
Find the dot product of u and v.u = (4, 1)v = (5,-4)UxV =

Which statement is false?
OA. The inequality sign always opens up to the larger number.
OB. The greater number in an inequality is always above the other number on the vertical number line.
OC. The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
OD.
The inequality sign always opens up to the smaller number.

Answers

Answer:

OD is false, because it condradicts OA, and we know that OA is true, I mean, we write 2<3

Answer

The inequality sign always open up to the smaller number

The answer is D

PLEASE HELP WILL GIVE BRAINLIEST

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

D or 12.5%
Explanation: r= (1/4) ((1500/1000)-1) =0.125
r= 0.125 = 12.5%

Toby has a strawberry lace that is 36 cm long ar He needs pieces 18 mm long to decorate a cake. How long is the lace in mm? How many 18 mm pieces can he cut from the lace? help⭐⭐⭐⭐⭐​

Answers

Answer:

The lace is 36 cm long and 1 cm = 10 mm. So, 36 cm = 360 mm.

He can cut the lace into 18 mm pieces, so he can cut 360 mm / 18 mm = 20 pieces of 18 mm lace from the 36 cm lace.

Please explain your answer to the question in the picture with steps.

Please explain your answer to the question in the picture with steps.

Answers

hope this helps! let me know if you have any questions
Please explain your answer to the question in the picture with steps.

Hey beinggreat78, the ones with a large amount of points are for u and they also mention your name so its easier to spot them (not that i dont want u to answer all the questions)

Hey beinggreat78, the ones with a large amount of points are for u and they also mention your name so

Answers

Answer:

C.

Step-by-step explanation:

\(3 \div 10 = 0.3 < 0.4\)

Answer:

C

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Hey beinggreat78, the ones with a large amount of points are for u and they also mention your name so

If you vertically shift the quadratic parent function, F(x) = x^2, up seven units, what is the equation of the new function? A. G(x) = x^2 - 7. B. G(x) = (x + 7)^2. C. G(x) = 7x^2. D. G(x) = x^2 + 7

Answers

Answer:

D

Step-by-step explanation:

G(x) = x^2 + 7

juss took the test yw

Can somebody please help?? i’ll give Brainliest to whoever answers first.

There are 625 students in Leon's school. He takes a random sample of 75 students from the entire school population. In the sample, 33
students are planning to attend the end of year picnic.
Based on his data, how many students from the entire school are planning to attend the end of year picnic? Show ALL your work!

Answers

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

work out angel x

Please could u help me with this
ASAP thanks you ​

work out angel xPlease could u help me with this ASAP thanks you

Answers

Angle ————————————————

Can someone help me how to get to this answer. What do you do to get to this answer

Can someone help me how to get to this answer. What do you do to get to this answer

Answers

Answer:

Step-by-step explanation:

1 gallon = $29.95

Nikki needs 12.25 gallons, so,

12.25 gallons= 12.25 × 29.95 =  $ 366.8875 = $ 366.89

Now there is a door whose height is more than its width by 6 chi 8 cun. The distance between the [opposite] corners is 1 zhang. Find the height and width of the door.NOTE: 1 zhang

Answers

Complete question is;

Now there is a door whose height is more than its weight by 6 chi 8 cun. The distance is between the opposite is corners is 1 zhang. Find the height and width of the door.

Note: 1 zhange = 10 chi = 100 cun. Give your answers in units of chi and cun.

Answer:

h = 9 chi 6 cun

w = 2 chi 8 cun

Step-by-step explanation:

Let the height be h and width be w.

Now, we are told that height is more than its weight by 6 chi 8 cun.

Thus,

weight = height - 6 chi 8 cun

Let's convert 6 chi 8 cun to chi for easy calculation.

Since 100 cun = 10 chu

Then 8 cun = 8 × 10/100 = 0.8 chi

Thus 6 chi 8 cun = 6 chi + 0.8 chi = 6.8 chi

Thus;

Height is h

Width is (h - 6.8) chi

Now, we are told that the distance between the corners is 1 zhang = 10 chi

Distance between corners is the diagonal of the door.

Thus, the height, width and diagonal con form a right angle triangle which can be solved by Pythagoreas theorem.

Thus;

h² + w² = 10²

Plugging in (h - 6.8) for w, we have;

h² + (h - 6.8)² = 100

h² + h² - 13.6h + 46.24 = 100

2h² - 13.6h + 46.24 - 100 = 0

2h² - 13.6h - 53.76 = 0

Using quadratic formula, we have;

h = 9.6 chi

Converting 0.6 chi to cun gives;

0.6 × 100/10 = 6 cun

Thus, h = 9 chi 6 cun

Since w = (h - 6 chi 8 chun)

Then, w = 9 chi 6 cun - 6 chi 8 chun = 2 chi 8 chun

Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return

Answers

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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How do I answer this?

How do I answer this?

Answers

Answer:

Step-by-step explanation:

area of trapezium ABCD

=(16.5+12)/2 \times 15

=(28.5)/2 \times 15

=213.75 cm^2

\(\frac{PQ}{DC} =\frac{8}{12} =\frac{2}{3}\)

Area of PQRS

=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2

area of green portion=213.75-95=118.75 cm²

Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?

Answers

To determine the time at which Jack's mother caught up to him, we need to calculate the time it took for her to catch up based on the relative speeds of both individuals.

Let's break down the information given:

- Jack's speed: 32 km/h
- Jack left at 6 a.m.
- Jack's mother's speed: 52 km/h
- Jack's mother discovered the homework 15 minutes after Jack had left.

First, we need to convert the 15 minutes of delay into hours. There are 60 minutes in an hour, so 15 minutes is equal to 15/60 = 0.25 hours.

Now, let's calculate the time it took for Jack's mother to catch up to him:

Distance traveled by Jack in 0.25 hours = Jack's speed * time
Distance traveled by Jack in 0.25 hours = 32 km/h * 0.25 hours = 8 km

Since Jack's mother is traveling at a faster speed than Jack, she will cover this distance faster. To determine the time it takes for her to catch up, we divide the distance by her speed:

Time taken for Jack's mother to cover 8 km = Distance / Speed
Time taken for Jack's mother to cover 8 km = 8 km / 52 km/h ≈ 0.154 hours

Now, we can add this time to the initial delay of 0.25 hours to find out when Jack's mother catches up to him:

Time when Jack's mother catches up to him = 6 a.m. + 0.25 hours + 0.154 hours

To simplify the calculation, we can convert the minutes into hours:

0.25 hours + 0.154 hours = 0.404 hours

Converting back to minutes:

0.404 hours * 60 minutes/hour ≈ 24.24 minutes

Adding this to the initial time of 6 a.m.:

Time when Jack's mother catches up to him ≈ 6:24 a.m.

Therefore, Jack's mother catches up to him at approximately 6:24 a.m.
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