A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?

Answers

Answer 1

Answer:

The surface area of the sphere is = [tex]99426.41 yd^2[/tex]

Step-by-step explanation:

The area of a sphere can be calculated using this formula:

[tex]A=4\pi r^2[/tex]

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference = [tex]2 \times \pi \times r[/tex]

[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]

We now have our radius. we can input it into equation 1 above

The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]


Related Questions

Solve the equation
r-3 = 3(r- 5)​

Answers

Answer:

r=6

Step-by-step explanation:

r-3=3(r-5)

First distribute:

r-3=3r-15

Then subtract r on both sides

-3=2r-15

Then add 15 on both sides

2r=12

Divide by 2 to isolate r

r=6

Help me please I’m stuck

Answers

Answer:

the answer for first is 3

second is 4

BRAINIEST ANSWER MATH!

Directions: find the surface area of each figure. :)

Answers

Answer:

I'm not sure for the first one but for the second I got 1255.21

3. Scout is conducting a research project on traffic patterns
in her town. She realizes that at 6:00 AM each morning, the
traffic lights reset and function on a pattern. The traffic light
on Main St. turns red every 7 minutes. The traffic light on Elm
St. turns red every 15 minutes. At what time will both lights be
red at the same time?

Answers

Answer:

7:45

Step-by-step explanation:

Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on

Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

Elm St. 15, 30, 45, 60, 75, 90, 105

They will both turn on 105 minutes or 1 hour and 45 minutes from 6

6 + 1 hr 45 min = 7:45

Hey, so I'm taking a test from k12 and I don't understand what's 36/12?

Answers

The answer is 3. Mark brainliest?

Answer:

if ur talking about 36 divided by 12 in terms of divison then its 3

Step-by-step explanation:

I don't know if im right though

Heya! ツ
☛[tex] \underline{ \underline{ \text{question}}}[/tex] : In the given figure , O is the centre of the circle. Two equal chords AB and CD intersect each other at E. Prove that :
i. AE = CE
ii. BE = DE

*Random/irrelevant answers will not be tolerated !

Answers

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

[tex]\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}[/tex]

Arc AB is the sum of Arcs AD and DB:

[tex]\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}[/tex]

Likewise, Arc CD is the sum of Arcs CB and DB. So:

[tex]\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Since Arc AB ≅ Arc CD:

[tex]\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Solve:

[tex]\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}[/tex]

The converse tells us that congruent arcs have congruent chords. Thus:

[tex]AD\cong CB[/tex]

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

[tex]\angle ADC\cong \angle CBA[/tex]

Additionally:

[tex]\angle AED\cong \angle CEB[/tex]

Since they are vertical angles.

Thus:

[tex]\Delta AED\cong \Delta CEB[/tex]

By AAS.

Then by CPCTC:

[tex]AE\cong CE\text{ and } BE\cong DE[/tex]

Answer:

this is your answer. look it once.

Find a formula for an arithmetic sequence that begins 80, 83, 86, 89, ...​

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

help please, i'll give the crown thing if I can

Answers

Answer:

i) p = 4

ii) p = 8

iii) p = 12

Step-by-step explanation:

Here, we need to understand the initial relation

Mathematically, we have this as;

2.79 * p = c

So let us calculate the value of p for each value of c

i) 2.79p = 11.16

p = 11.16/2.79

p = 4

ii) 2.79p = 22.32

p = 22.32/2.79

p = 8

iii) 2.79p = 33.48

p = 33.48/2.79 = 12

Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary. A cymbal with a radius of 7 inches.

Answers

Answer: 44 inches

Step-by-step explanation:

You didn't write your question well but I'm guessing that you want to.find the circumference of a circle.

The circumference of a circle = 2πr

= 2 × 22/7 × 7.

= 2 × 22

= 44inches

The circumference is 44 inches

Answer:

44

Step-by-step explanation:

Someone please please help

Answers

Answer:

k=60

step-by step explanation:

a triangles angles should all add up to 180.

so:

78+42=120

180-120=60

this would be the angel k.

The angle h would be 42 and angle g would be 78

Factor the expression.
Show your work

x²+3xy−18y²

Answers

Answer:

(x + 6y)(x - 3y)

Step-by-step explanation:

Given

x² + 3xy - 18y²

Consider the factors of the coefficient of the y² term (- 18) which sum to give the coefficient of the xy- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , then

x² + 3xy - 18y² = (x + 6y)(x - 3y)

PLS HELP ASAP !!!!!!!!!!3
Compare the functions shown below:
f(x) = 7x + 3(x) = h(x) 2 sin(3x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

f(x) has the greatest y-intercept

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 7x + 3

- The function g(x) is tangent function with y-intercept at (0 , 2)

- h(x) = 2 sin(3x + π) - 1

* Lets explain how to find the y-intercept

- The y-intercept means the intersection of the graph of the

 function with the y- axis

- Any point on the y-axis has x-coordinate = 0, so to find the y-intercept

of any function substitute x in the function by zero

∵ f(x) = 7x + 3

∵ x = 0

∴ f(x) = 3

∴ The y-intercept of f(x) is 3

∵ g(x) has y-intercept at point (0 , 2)

∴ The y-intercept of g(x) is 2

∵ h(x) = 2 sin(3x + π) - 1

∵ x = 0

∴ h(x) = 2 sin(3 × 0 + π) - 1

∴ h(x) = 2 sin(π) - 1

∵ sin(π) = 0

∴ h(x) = 2 (0) - 1 = 0 - 1 = -1

∴ The y-intercept of h(x) is -1

∵ 3 > 2 and 3 > -1

∴ f(x) has the greatest y-intercept

The function f(x) has the greatest y-intercept i.e. 3.

Given functions are:

[tex]f(x)=7x+3\\[/tex]

[tex]h(x)=2Sin(3x+\pi )-1[/tex]

What is the y-intercept?

The y-intercept is the point on the y-axis at which the graph intersects.

We know that on the y-axis, the x-coordinate is zero.

So, by putting x=0 in the function we can get the y-intercept.

1)[tex]f(x)=7x+3\\[/tex]

[tex]f(0)=3[/tex]

So, the y-intercept of f(x) is 3.

2)From the graph we can say the y-intercept of g(x) is 2.

3)[tex]h(x)=2Sin(3x+\pi )-1[/tex]

[tex]h(0)=2Sin\pi -1[/tex]

[tex]h(0)=-1[/tex]

So, the y-intercept of h(x) is -1.

Hence, function f(x) has the greatest y-intercept i.e. 3.

To get more about functions visit:

https://brainly.com/question/2833285

Evaluate 17x + 5.5y when x = 6 and y= 9

Answers

Step-by-step explanation:

given x = 6, y = 9,

[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]

Answer:

151.5

Step-by-step explanation:

= 17(6) + 5.5(9)

= 102 + 49.5

= 151.5

Hope you got it..

11in 8.1 in 15 in 7 in?

Answers

Answer:

These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.

Consider the equation r + 2 = 3x – 4.
a. Solve the equation using algebra.
X=

Answers

Answer:

r/6 +2 = X

Step-by-step explanation:

We want to isolate X by itself to find its value. First transpose your -4 to the other side (note that -4 will become positive)

r + 2 +4 = 3x

r + 6 = 3x

To find the X, we get rid of the 3, so divide both sides by 3

r/3 + 6/3 = x

r/3 + 2 = x

OR

(r+6)/3 = x

Both works : )

Answer:

Step-by-step explanation:

We want to solve r + 2 = 3x – 4 for x.

This means isolating x on one side.  To do this, first add 4 to both sides, obtaining r + 2 + 4 =3x, or:

r + 6 = 3x

Finally, divide both sides by 3:

        r + 6

x = -------------

            3

What is the slope of the line represented by the equation y = (4/5)x - 3?

Answers

Answer:

4/5

Step-by-step explanation:

The slope is always the coefficient of x in a y = mx + b equation

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

y=[tex] \frac{4}{5} [/tex]x-3

comparing above equation with y=mx +c

we get

slope[m]=[tex] \frac{4}{5} [/tex]

Solve using elimination. -2x+2y=2, 2x-y=4.

Answers

Answer:

y=6

x=5

Step-by-step explanation:

x=(y+4)/2

-2(y+4)/2+2y=2

-y-4+2y=2

y-4=2

y=6

x=(6+4)/2

x=5

PLEASE HELP, ILL GIVE BRAINLIEST!!

Answers

Answer:

as mentioned above we have to solve it by cross multiplication.

Step-by-step explanation:

So,

4(3x-3)=5(2x-2)

12x-12=10x-10

12x-10x=-10+12

2x=2

X=2/2=1 Answer

hope it helps!!

Answer:

x = 1

Step-by-step explanation:

Here's your solution

=> (3x - 3)/5 = (2x - 2)/4

=> 4(3x -3) = 5(2x - 2)

=> 12x - 12 = 10x - 10

=> 2x = 2

=> x = 2/2

=> x = 1

hope it helps

Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).​

Answers

(Step#1): Find the Perpendicular bisector of a line segment with endpoints

(Step#2): Find a Point on the perpendicular bisector
(Which is the midpoint of a given line segment)
Using the midpoint Formula which is:
(X3, Y3) = (X1 +X22, Y1 + Y22)

I Hope this helps you!!!

Learn with an example v Luke counted the number of silver beads on each bracelet at Lexington Jewelry, the store where he works. Silverbandaran huscolat​

Answers

Where are the choices?

UVWX is a parallelogram. What is the measure of angle XUV?

Answers

Answer:

We need more info.

Step-by-step explanation:

Even though we need more information to solve this, I can explain how to. if you want me to solve it for you, comment on here and tell me if they gave you any angle measurements. Until then, I'll tell you how.

Look at the attached photo as you read to help you visualize this. Assuming your parallelogram looks roughly like the drawing, you can see that ∠U = ∠W, and ∠X = ∠V. We can determine that because - when working with parallelograms - the angle opposite of the other is always equal. For instance, if the drawing I made is accurate to the one you're looking at, then if ∠U was equal to let's say 120°, then that means that the exact opposite angle, ∠W, would also be equal to 120°.

Offer is still on the table though. If the question gave you any information about any of the degree measures, comment it and I'll solve the problem for you.

hii please help i’ll give brainliest

Answers

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of
$6.50. Lily went into the same grocery store and bought 10 apples and 5 bananas,
costing a total of $17.50. Write a system of equations that could be used to determine
the price of each apple and the price of each banana. Define the variables that you use
to write the system.

Answers

Answer:

17

Step-by-step explanation:

Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Step-by-step explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

[tex]\frac{y-5}{3}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

PLEASE HELP I WILL MARK YOU BRAINLIEST.

Answers

Answer and working out attached below. Hope this helps.

Answer: The answer is 8.808!

Step-by-step explanation: So you need to subtract 1.192 from 10

and its suppose to give you 8.808.

HELP ASAP PLEASEESE <3

Answers

Answer:

?? Where IS THE PICTUREEE

Step-by-step explanation:

Mrs. Richardson wants to rent patio chairs for a party. Rick’s Rentals charges $3.50 per chair and $35 for delivery. Dean’s Discount Rentals charges $5 per chair and $20 for delivery. How many chairs would Mrs. Richardson need to rent in order for Rick’s Rentals to have the same price as Dean’s Discount Rentals?

11
76
75
10

Answers

Answer:

maby awser b.76

Step-by-step explanation:

tell me if this helps

please answer this question for me

Answers

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

What is the volume of a cylinder with a height of 18.5 m and a base with a diameter of 5.2 m, to the nearest tenth of a cubic meter?​

Answers

Answer:

22÷7×5.2×5.2×18.5

1572.18

I hope this will help you and plz mark me brainlist

Cylinder Volume formula: V= πr^2*h

πconst is 3.14
r is the half of diameter. So that’s 5.2/2=2.6m
And h is 18.5m

V=3.14x(2.6m)^2x18.5m=392.6884m^3
(392.6884m^3=392.7m^3)

I hope this helped you!


PLS ANYONE HELP ME!!

Write an equation for 96% of what number is 24?

Answers

Answer:

0.96 • x = 24, x = 25

Step-by-step explanation:

96% of what number is 24

Let's break this phrase down.

96% can be represented as 96/100 or 0.96

"of" indicates multiplication

"what number" is our unknown variable, x.

"is" represents our equals sign

Then we have our answer 24.

Let's put this all together.

0.96 • x = 24

To solve for this, divide both sides by 0.96.

x = 25

Hope this helps!

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