If the great circle circumference of a sphere is 16pie yards, find its surface area

Answers

Answer 1

Answer:

Step-by-step explanation:

The circumference of a circle = 2*pi * r

so 16 pi yards = 2 * pi * r

Divide both sides by 2

16 pi/2 = 2*pi * r /2

8*pi =  pi * r    

Divide both sides by pi

8 * pi / pi = pi * r / pi

r = 8

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

Surface Area = 4 pi * r^2

r = 8

Surface Area = 4 * pi * 64

Surface Area = 256 * pi

Answer 2

The surface area of the sphere is [tex]\( 256\pi \)[/tex] square yards.

To find the surface area of a sphere given its great circle circumference, we can use the relationship between the circumference and the radius of the sphere.

The formula for the circumference of a great circle of a sphere is:

[tex]\[ C = 2\pi r \][/tex]

We can solve for the radius r

[tex]\[ 16\pi = 2\pi r \][/tex]

r = 8

Next, we use the formula for the surface area A of a sphere:

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

Substitute  r = 8  into the formula:

[tex]\[ A = 4\pi (8)^2 \][/tex]

[tex]\[ A = 256\pi \][/tex]

Therefore, the surface area of the sphere is [tex]\[ A = 256\pi \][/tex] square yards.


Related Questions

HELPPP
The temperature inside a freezer is 2 degrees Celsius. What change can be made to the temperature inside the freezer so that it is 0 degrees Celsius?

A. increase the temperature by 2 degrees Celsius

B. decrease the temperature by 2 degrees Celsius

C. divide the temperature, in degrees Celsius, by 2

D. multiply the temperature, in degrees Celsius, by 2​

Answers

Answer:

The answer would be B. decrease the temperature by 2 degrees Celsius.

Step-by-step explanation:

Since 2°C - 2°C= 0, then you would obviously have to subtract to find your answer.

a rectangle is graphed on the coordinate grid. which represents the equation of a that is perpendicular to side r?

Answers

Answer:

Fourth answer choice:  y = x + 3

Step-by-step explanation:

Note that sides a and s are perpendicular to side r.  Both sides a and s have positive slopes, so we can immediately eliminate answer choices 1 and 2.

If we extend side s up and to the left, it intersects the y-axis at (0, 3).  Thus, the y-intercept is +3 and the desired equation is:

y = x + 3

Answer:

The answer is D

Step-by-step explanation:


The table gives the probability distribution of the number of DVDs sold per day at a music store. What is the probability of 5 or more DVDs being sold on any given day?


number of DVDs sold in a day

0-4

5-9

10-14

15-20

probability

0.1875

?

0.4375

0.125

A.
0.4375

B.
0.2525

C.
0.8125

D.
1.0000

Answers

Answer:

C. 0.8125

Step-by-step explanation:

The probability to sell 5 or more DVDs in a day is the complement of the probability of selling less than 5 DVDs in a day, since sales <5 DVDs + sales >= 5 DVDs = 100% of the sales.

So, we know what's the probability of selling less than 5 DVDs in a day is... it's 0.1875

So, to find the possibility of selling 5 or more DVDs in a day, we take 100% of the chances (1.0) and we subtract the probability of selling <5 DVDs in a day:

P = 1.0 - 0.1875 = 0.8125

C. 0.8125 is your answer.

I need help fast.
Number 18 and 19

Answers

Answer:

18.=400%

Step-by-step explanation:

80/20 we get 4 then we multiple 4 ×100 we get 400 and we check the answer 400% ×20 =80

Please help! I'm am not that great at graphing like this...

Thanks a bunch! :)

Answers

Answer:

Step-by-step explanation:

If it's less than or greater than (<, >), then the circle is hollow.

If it's less than or equal to, or greater than or equal to (≤, ≥), then the circle is solid.

Less than points to the left, greater than points to the right.

Here we have less than (not equal to).  So the circle is hollow, and the arrow points left.  So the correct answer is the first one.

We can check our answer by picking a point and seeing if it's true.  If we pick c=-6, is it true that -6 < -1?  Yes.

A right cylinder has a radius of 4 and a height of 11 what’s the surface area

Answers

Answer:

[tex]A=376.99\ units^2[/tex]

Step-by-step explanation:

By definition, the surface area of a cylinder is given by the following formula:

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

Where r is the radius and h is the height.

In this case, we have to:

[tex]r = 4\\\\h = 11[/tex]

then the surface area is:

[tex]A = 2\pi(4)(11) + 2\pi(4) ^ 2[/tex]

[tex]A=120\pi[/tex]

[tex]A=376.99\ units^2[/tex]

120pi units^2

Step-by-step explanation:

Let ​ f(x)=x2+14x+36 ​ .

What is the vertex form of f(x)?

What is the minimum value of f(x)?

Enter your answers in the boxes.

Answers

Answer:

see explanation

Step-by-step explanation:

The vertex form of f(x) is

f(x) = (x - h)² + k

where (h, k) are the coordinates of the vertex

To obtain this form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 14x

f(x) = x² + 2(7)x + 49 - 49 + 36

     = (x + 7)² - 13

The minimum value of f(x) is the y- coordinate of the vertex

vertex = (- 7, - 13), that is minimum value = - 13

Final answer:

The vertex form of the function f(x)=x²+14x+36 is (x + 7)² - 13, with the vertex at (-7, -13). The minimum value of f(x) is -13.

Explanation:

To convert the function f(x) = x²+ 14x + 36 into vertex form, we need to complete the square. First, factor out the coefficient of the x² term if it is not 1 (in this case it is 1, so no factoring is necessary), and then group the x terms.

f(x) = (x²+ 14x) + 36

Add and subtract the square of half of the coefficient in front of x within the parenthesis to complete the square:

f(x) = (x² + 14x + 49) - 49 + 36

Simplify:

f(x) = (x + 7)² - 13

Now the function is in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex. Here, the vertex is at (-7, -13).

The minimum value of the function f(x) occurs at the vertex since the coefficient of the x² term is positive, indicating a parabolic shape opening upwards. Therefore, the minimum value of f(x) is -13.

Learn more about Vertex Form here:

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THIS I S EASY I JUST DON'T KNOW IT PLZZ ANYONE I REALLY NEED THIS ASP I PROMISE BRAIBLIEST ANYONE???????PLZZ HELP I DON'T KNOW WHAT TO DO !!!!!!!15PTS!!! WIL GIVE BRAINLIETS!!!!Which function rule represents the data in the table?



x –3 –2 –1 0 1

y –17 –14 –11 –8 –5



y = –3x – 8

y = 1/3x – 8

y = 3x – 8

y = 1/3x + 8

Answers

Answer: The answer is y=3x-8

Step-by-step explanation: All you have to do is plug in the x values and see what you get for y. For example: when you plug in -3 for x.    y=3(-3)-8 than you multiply the -3 by 3 and that give you y=-9-8 which equals y=-17 so that shows you the equation works.

plugging in -2 for x

y=3(-2)-8

y=-6-8

y=-14

I hope this helps!!!

Answer:

y = 3x -8

Step-by-step explanation:

You can try a point in the function rules and see if it works. The first (x, y) pair is suitable for finding the right answer:

y = -3(-3) -8 = -1 ≠ -17 . . . . eliminates the first choice

y = 1/3(-3) -8 = -9 ≠ -17 . . . . eliminates the second choice

y = 3(-3) -8 = -17 . . . . . the third choice is viable

y = 1/3(-3) +8 = 7 ≠ -17 . . . . eliminates the last choice

__

Only the third choice is a possible solution. Checking other points from the table verifies this as the correct one.

A line has a slope of 9 and includes the points (t, 7) and (-10, -2). What is the value of t?

T=__

Answers

[tex]\bf (\stackrel{x_1}{t}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-7}{-10-t}=\stackrel{\stackrel{slope}{\downarrow }}{9}\implies \cfrac{-9}{-10-t}=9 \\\\\\ -9=-90-9t\implies 81=-9t\implies \cfrac{81}{-9}=t\implies -9=t[/tex]

T=-9 and the work is there

If you have any questions about what I did

Hope this helps.if it does please mark brainliest

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. The experimental probability of rolling a 3 is %, which is approximately % more than its theoretical probability. (Round off your answers to the nearest integer.)

Answers

Answer:

The experimental probability of getting a 3 on a die is 30% which is approximately 13% more than its theoretical probability (17%).

Step-by-step explanation:

Theoretical probability of number 3 on a die:

Total no. of possibilities = 6

Probability of getting a 3 on a die each time it is rolled = 1/6

= 0.16667

= 17%

Experimental probability of number 3 on a die:

Total no. of rounds = 4

Rolls each round = 20

no. of 3s in round 1 = 6

no. of 3s in round 2 = 6

no. of 3s in round 3 = 5

no. of 3s in round 4 = 7

Total rolls = 20*4 = 80

no. of times 3 comes up = 6+6+5+7 = 24

Experimental probability of getting a 3 on a die

each time it is rolled = no. of 3s/total rolls

= 24/80

= 0.3

= 30%

Difference = 30% - 17% = 13%

Experimental probability of getting a 3 on a die is 30% which is approximately 13% more than its theoretical probability (17%).

Answer:

The experimental probability of rolling a 3 is  30 %, which is approximately  13 % more than its theoretical probability.

Step-by-step explanation:

PLATO

help me with this one ​

Answers

Answer:

I think that a pair could be the second choice. MTS and PWQ.  

Step-by-step explanation:

Really help please desperate in need help a sister out please just help

Answers

Answer:

Not safe

Step-by-step explanation:

Using the sine ratio in the right triangle

let the angle be x, then

sinx° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{16.5}{17}[/tex]

x = [tex]sin^{-1}[/tex] ([tex]\frac{16.5}{17}[/tex] ) ≈ 76.1°

Since 76.1° > 70° then not safe at this height

twice a number subtracted from 35 is 9.what is the number​

Answers

Ok, so equation for this would be 2x-35=9, 2x because its twice a number, x. 35 because it is taking off of 35. 9 because the grand total is 9.

2x-35=9 First add 35 to 9

2x=44 Then divide 44 by 9

x= approximately 4.9 

Estimate the sum by first rounding each mixed number to the nearest whole number and then adding

3 8/9 + 2 5/6

Answers

About 4+ about 3 =7

For this case we have:

[tex]3 \frac {8} {9} = \frac {27 + 8} {9} = \frac {35} {9} = 3.8888[/tex]

Round the nearest whole, that is, to 4.

[tex]2 \frac {5} {6} = \frac {12 + 5} {6} = \frac {17} {6} = 2.8333[/tex]

Round the nearest whole, that is, to 3.

So, rewriting we have:

[tex]4 + 3 = 7[/tex]

ANswer:

[tex]3 \frac {8} {9} +2 \frac {5} {6} = 7[/tex]

I need help please and thank you

Answers

Answer:

Step-by-step explanation: if she runs 1 lap in 6 minutes, divide 66 by 6 to find how many laps she runs. this is 11. 11 is the minimum amount of laps that she runs.

n≥11

Answer:

11 ≤ n

Explanation:

[tex] \frac{66}{6} = 11[/tex]

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

What is 2x -4 ≤ 4x answer

Answers

Answer:

x ≥ -2

Step-by-step explanation:

2x - 4 ≤ 4x

Subtract 2x from both sides:

-4 ≤ 2x

Divide by 2:

-2 ≤ x

So -2 ≤ x, or x ≥ -2.

You can check your answer by picking a number greater than -2 and see if it works.  For example, if x = 0:

0 - 4 ≤ 0

-4 ≤ 0

i have an 86% in math, my final is worth 25% of my grade. where would i be if i failed it? ​

Answers

Answer:

Depends

Step-by-step explanation:

Depends on how many questions you missed. I'm going to assume that you mean you somehow missed every question. So, 86% - 25% would be 46%.


If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
The discriminant is negative
The discriminant is -3.
The discriminant is 0.
The discriminant is positive

Answers

Answer:

The discriminant is 0

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

The answer for this question is 0

can two numbers have the same prime factorization

Answers

The prime factorization of a number is the set of prime numbers that can be multiplied together to give you that number. Therefore, two different numbers cannot have the same prime factorization, because if you multiply the same set of numbers together, you must get the same answer. For example, 2 × 3 × 5 will always give you 30.

Therefore, the answer will be no.

Plz help with financial algebra !!

Answers

Answer: She will be there 8 years.

Step-by-step explanation:

One of the factors of the polynomial x^3 + 5x^2 + 6x is (x^2 + 3x). What is the other factor?
A. X-2
B. X + 2
C. X + 1
D. X - 1

Answers

Answer:

B

Step-by-step explanation:

The answer is b that’s what I got

I Need Help can anyone figure out the answer to this problem a store sells cans of tomatoes price to show what size can of tomatoes has the lowest cost per ounce ​

Answers

Answer: 15 ounces

Step-by-step explanation:

We need to find the unit rate for each of the prices/ounces,

0.89/10 = 0.089

1.29/15 = 0.086

2.26/18 = 0.125...

3.39/32 = 0.1059375

The answer is:

B. 15 ounces

Because the unit rate(cost per ounce) is 0.086 cents per ounce which is less than:

A. 0.086

C. 0.126

D. 0.106


In circle C, what is m?

Answers

I assume the 38º measurement refers to the measure of arc BE. Then

[tex]37^\circ=\dfrac{m\widehat{AJ}-38^\circ}2\implies m\widehat{AJ}=112^\circ[/tex]

and so

[tex]32^\circ=\dfrac{112^\circ-m\widehat{FH}}2\implies m\widehat{FH}=\boxed{48^\circ}[/tex]

(I think the theorem I used here is called "angle of intersecting secants")

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12
y = x – 4
y = x + 2
y = x + 6

Answers

Answer:

y = x - 4

Step-by-step explanation:

Rewrite y – 4 = (x – 8) in slope-intercept form.  To do this, solve the given equation for y:

y - 4 = x - 8  →  y = 4 + x - 8, or y = x - 4

As the point-slope form is given, we will simplify it;

                                [tex]y-4=x-8[/tex]

By adding +4 on both the sides, we get:

                            ⇒[tex]y=x-8+4[/tex]

                           ⇒[tex]y=x-4[/tex]

The slope-intercept form of the equation for this line is y=x-4.

Hence, the correct answer is option (b).

What is slope y-intercept form?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

What is slope-intercept form example?

Examples. y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Learn more about slope-intercept, refer to:

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Help plzzzzzzzzzzzzzz

Answers

Answer:

y=8x-3

Step-by-step explanation:

What is the answer to x-9<15

Answers

Answer:

the answer is anything less than 24

Step-by-step explanation:

[tex]x - 9 < 15 = x - 9 + 9 < 15 + 9[/tex]

[tex] \times < 24[/tex]

Stuck, need help please.

Answers

Answer:

22.5 lbs

Step-by-step explanation:

First you find the cubic feet. That is the volume of the object which is length*width*height.

In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet

You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs

Find the median of the following data set 6,2,59,12,11,9,9,54,54,46,2,32,43,11

Answers

By arranging the numbers in ascending order we get,

2, 2, 6, 9, 9, 11, 11, 12, 32, 43, 46, 54, 54, 59

The 2 middle numbers are:

11, 12

To find the median we have to add them and divide them by 2

So, (11+12)÷2

23÷2

11.5

For this case we have by definition that the median of a set of numbers is the average number in the set, after the numbers have been arranged from the lowest to the highest. If there is an even number of data, the median is the average of the two average numbers. So:

We order the numbers from least to greatest:

2,2,6,9,9,11,11,12,32,43,46,54,54,59

We have 14 numbers:

[tex]\frac {11 + 12} {2} = \frac {23} {2} = 11.5[/tex]

Answer:

11.5

A diver who has a mass of 68 kg climbs to a diving platform that is 7.5 m above the surface of a pool. How much gravitational potential energy does the diver have in relation to the pool’s surface? 510 J 1912 J 3825 J 4998 J

Answers

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

m is the mass of the diver

g is the acceleration due to gravity = 9.81m/s²

h is the height from the surface

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

        = 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

Final answer:

The diver has 4986 Joules of gravitational potential energy in relation to the pool's surface, with the closest answer choice being 4998 J, assuming rounding differences. Hence, the answer is D.

Explanation:

To calculate the gravitational potential energy (GPE) of the diver in relation to the pool's surface, we can use the formula GPE = mgh, where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the diving platform above the pool's surface.

Substituting the diver's mass (68 kg) and the height of the diving platform (7.5 m) into the equation, we get:

GPE = (68 kg) times (9.8 m/s2) times (7.5 m)

GPE = 4986 Joules

Therefore, the diver has 4986 Joules of gravitational potential energy in relation to the pool's surface. Since this value isn't exactly one of the choices, it's likely due to rounding differences, and the closest provided option is 4998 J, which we could assume is the intended answer.

Find (f-g)(x) when f(x) = 2x-3 and g(x) = -4x+8

Answers

Answer:

6x - 11

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 2x - 3 - (- 4x + 8) = 2x - 3 + 4x - 8 = 6x - 11

Answer:

6x -11

Step-by-step explanation:

f(x) = 2x-3 and g(x) = -4x+8

f-g (x) =2x-3 - (-4x+8)

Distribute the minus sign

       = 2x - 3 +4x -8

Combine like terms

       = 6x -11

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