Jorge is building a circular stage for an upcoming concert. The stage needs to have an area of at
least 200 square meters to fit the performers. What is the smallest radius that the stage could have? Explain your reasoning,

Answers

Answer 1

Answer:

The smallest radius that the stage could have is 7.97 m.

Step-by-step explanation:

The stage needs to have an area of at  least 200 square meters to fit the performers.

For a circle, the area is given by :

[tex]A=\pi r^2[/tex]

such that,

[tex]\pi r^2=200\\\\r=\sqrt{\dfrac{200}{\pi}} \\\\r=7.97\ m[/tex]

So, the smallest radius that the stage could have is 7.97 m.


Related Questions

Construct a quadratic equation using the following roots

Answers

Answer:

1) 63x²+68x+12=0

2) x⁴-8x²+15=0

3) -5x²-(5/x²)+26=0

Step-by-step explanation:

1)

x=-6/7 and x=-2/9

7x=-6 and 9x=-2

7x+6=0 and 9x+2=0

(7x+6)(9x+2)

63x²+14x+54x+12

63x²+68x+12=0

2)

x=√3 and x=√5

x²=3 and x²=5

x²-3=0 and x²-5=0

(x²-3)(x²-5)

x⁴-5x²-3x²+15

x⁴-8x²+15=0

3)

x=[tex]\sqrt[2]{5}[/tex] and x=[tex]\sqrt[-2]{5}[/tex]

x²=5 and x⁻²=5

x²=5 and (1/x²)=5

x²-5=0 and (1/x²)-5=0

(x²-5)((1/x²)-5)

1-5x²-(5/x²)+25

-5x²-(5/x²)+26=0

what two numbers multiply to 50 and add up to -15

Answers

Answer:

-10 and -5

- have a great day

Write the mixed number 3 2/9 a as an improper fraction.​

Answers

Answer:

29/9

Step-by-step explanation:

= 3 x 9 = 27

= 27 + 2 = 29

= 29/9

Marcus bought a drill at 25% of the regular price. He paid $32.89 for the drill What was the regular price?

Answers

Answer:

131.56

Step-by-step explanation:

It’s -4°C outside, and then the temperature drops 5°C. Which addition equation describes what's happening to the weather?

Answers

Answer:

-4+(-5)

Step-by-step explanation:

If the temperature is dropping five you add -5 to negative 4.

[Please help! WIll give Brainliest ♥] On the square baseball diamond shown below, the distance from first base to second base is 90 feet. How far does the catcher have to throw the ball from home plate to reach second base?

Round your answer to the nearest 10th!

Answers

Answer:

30ft

Step-by-step explanation:

The hypotenuse is the distance from home to second, or side x.

The legs are from home to first and from first to second.

Fourteen school clubs worked together on a magazine sale they agreed to equally divide the profits from the sale the club raised $5,474 how much will each club get

Answers

Answer:

$391

Step-by-step explanation:

5,474/14 = 391

Answer:

1368

Step-by-step explanation:

if you have 5474 divided by 14 it will=391

need a quick answer please

Answers

What's the question?

Just tell me and I will edit this answer.

Answer:

ok tell me brahhh

Step-by-step explanation:

Kelvin ordered four pizzas for a birthday party. The pizzas were cut into eighths. How many slices were there? (Draw a picture to support your response; please)

Answers

Answer:

32 slices are there thankyou

32 slices is the answer

-3+5+6g=11-3g−3+5+6g=11−3g
Find the value of G plssss! thx, I really need it!

Answers

Answer:

6g -3g +6g -3g = 5+6-11-3+5-11

6g=-18

6g= -18 /÷6

g= -3

Charlotte and her children went into a grocery store and she bought $8 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a
total of 10 apples and bananas altogether. By following the steps below, determine
the number of apples, x, and the number of bananas, y, that Charlotte bought.

Answers

Answer: six apples 4 bannanas, brainleist?

Answer:

x=4

y=6

Step-by-step explanation:

BRAINLIEST????

Edge users, Help! Will give brainliest

Answers

Answer:

You do not need to get right just get one wrong and it will say demo, then keep doing that.

Step-by-step explanation:

What is the least common multiple of 10 and 35?

Answers

Answer:

a multiple of both is 5 ...

Answer:

70

Step-by-step explanation:

10                        35

10                        35

20                        70  

30

40

50

60

70

The perimeter of the polygon is 27.4 centimeters. Write and solve an equation to find the unknown side length.

Answers

Answer:

x = 7.1

Step-by-step explanation:

6.3 + 5.6 + 8.4 + x = 27.4

20.3 + x = 27.4

20.3 - 20.3 + x = 27.4 - 20.3

x = 27.4 - 20.3

x = 7.1

6.3 + 5.6 + 8.4 + 7.1 = 27.4

find the measurement of each interior angle

Answers

Answer:

40

Step-by-step explanation:

angle b and D is 40 degrees

the answer is 65
i hope it helps :)

Gavin was thinking of a number. Gavin halves it and gets an answer of 36. What was the original number?

Answers

Answer:

72

Step-by-step explanation:

36 x 2 = 72 Double the number the Gavin got as an answer because he cut it in half

yall tryna help bro out

Answers

Answer:

y = 60 ; x = 12

Step-by-step explanation:

The 60° angle and y are equal. Therefore, y = 60.

The parallel lines are equal to each other. You can solve for x by making an equation.

x + 3 = 15

x = 12

It x=12 I’m pretty sure

will mark brainlest
please help

Answers

Answer:

Sin Z = 8/17

Tan G = 15/8

Cos Z = 15/17

Sin M = 1

Step-by-step explanation:

Sin is equivalent to Opposite over Hypotenuse. For Z, the opposite would be 40. 85 is always the hypotenuse in this problem.

Sin Z = 40/85, simplified it is 8/17

Tan is opposite over adjacent. In this case, the opposite is 75. The adjacent is 40.

Tan G = 75/40, simplified it is 15/8

Cos is adjacent over hypotenuse. In this one, the adjacent is 75. The hypotenuse is 85.

Cos Z = 75/85, simplified it is 15/17.

In Reference to what I said above Sin, I will use the same thing.

Sin M = 1

85/85

What is the answer to x/3 - 2 < 8

Answers

Step-by-step explanation:

[tex] \frac{x}{3} - 2 < 8 \\ \frac{x}{3} < 10 \\ x < 30[/tex]

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Answers

mhmm..whichuksnackru?..fishnchiips OUHHHOOUUHHYESS SandyROASTthatsevenbaetterthanfishnchips

Logan will earn $1000. 50(6)=$300 plus his $700 would be $1000

I will give brainlist

Use the GCF to factor 7+35

Answers

Answer:

The Greatest Common Factor (GCF) for 7 and 35, notation CGF(7,35), is 7. Explanation: The factors of 7 are 1,7; The factors of 35 are 1,5,7,35..

Step-by-step explanation:

Combine like terms to write the expression in standard form (−r +s) + (s − r)

Answers

First we clear brackets

 -r+s+s-r

Second we collect like terms

-r-r+s+s

then we add it

-2r +2s

if we read the question it says standard form so we out the G.C.F of the

expression

2(-r+s)

HELP HELP HELP THERE'S A TIME LIMIT!!

Answers

Answer:

1 5 and 8 also equal 130

2 3 6 and 7 equal 50

Step-by-step explanation:

have a great day :D

Answer:

∠1= 130°

∠2= 50°

∠3= 50°

∠4= 130°

∠5= 130°

∠6= 50°

∠7= 50°

∠8= 130°

Step-by-step explanation:

angles 1&2 have to equal 180°

and so on for ∠3&4  and 5&6 and 7&8

180-130=50

Select the correct answer.
What is the simplified form of ?
A.

B.

C.

D.

Answers

Answer: A.

Step-by-step explanation: You were correct the first time!:)

Answer:

A

Step-by-step explanation:

plis help with this. - - -

Answers

Answer: 16

Step-by-step explanation:

multiplying by negative exponents can be a little tricky. So (1/4x)^-2 becomes 16/x^2 = __/x^2 so the missing number is 16

A ball with a potential energy of 7500 J is at the top of a hill. The ball weighs 500 N, what is the height of the ball?

Answers

Answer:

yerp

Step-by-step explanation:

gv5eby5evfcqwcevwrybe4v

the area, in squave winter or the figure below?

Answers

Answer:

6.96cm^2.

Step-by-step explanation:

Formula:

1/2 b x h

1/2 5.8 x 2.4

2.9 x 2.4

6.96cm^2.

Un virus se duplica cada minuto.Si un laboratorio
tienen.Una muestra
de este virus ¿cuantos virus hay al minuto 10? Expresar en potencia.​

Answers

English don’t understand sorry I’ll look into it
Se duplica a 10 por que si el virus se duplica cada minuto so en 10 minutos esa muestra seria 10 muestras

Ms Lemon has $150 to spend on the parking and admission to the zoo.The parking will cost $18, and the admission tickets will cost $16.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the zoo, including herself.

Answers

Answer:

Let y be the no. of people she can bring

18 + 16.5y <= 150

Step-by-step explanation:

Answer:

16.5y + 18 = 150

16.5y + 18 = 150

        -18    -18

        0       132  

          16.5y     132

          16.5       16.5

y = 8

Ms.Lemon can bring 8 people including herself

Step-by-step explanation:

First you are going to rewrite the equation then do the inverse operation of addition. Then, subtract 150 from 18 then you get 132 then you bring down 16.5y and cancel it out by dividing and then you divide 132 by 16.5 and you get 8 so Ms.Lemon can bring 8 people including her self.

what is 5674324 / -6

Answers

Answer:

-2837162/3

Step-by-step explanation:

5674324/-6

-5674324/6

-2837162/3

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