A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm​

Answers

Answer 1

Answer:

20 cm

Step-by-step explanation:

Use the formula

A=4πr^2

Solving for radius

[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441

Answer 2

We are given –

[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]

A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–

[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]

Just use the formulas for the sphere's area to determine the radius.

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]

Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].


Related Questions

Who has the shorter insect?

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Connie does because

Someone help me out on this math question?

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Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

Solve this inequality for x.

Answers

Answer:

A

Step-by-step explanation:

81 - 1 1/5x [tex]\leq[/tex] 55

Subtract 81 from  both sides

- 1 1/5x [tex]\leq[/tex] -26

Turn - 1 1/5 into the improper fraction -6/5

-6/5x [tex]\leq[/tex] -26

Divide by sides by -6/5 by multiplying by the reciprocal. This also changes the direction of the sign.

x [tex]\geq[/tex] 65/3

x [tex]\geq[/tex] 21 2/3

What is -2×-4 in mathematics

Answers

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

What is the value of x when
Log×=-2.7777
And explain it easy

Answers

[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]

How long does it take for sunlight to reach earth? Show Work!

Answers

Answer: 8.3 minutes

Step-by-step explanation:

The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.

Answer: The Sun is 93 million miles away, so sunlight takes 8 and 1/3 minutes to get to us.


Light from the Sun takes about 5 and 1/2 hours to reach it and roughly the same time to return to Earth. By the time the light reaches us, it has spread out so much that the planet looks very dim, and requires a good telescope to spot. Photo of Pluto and its moon Charon, as seen with the Hubble Space Telescope in 1994.

Sunlight travels at the speed of light. Photons emitted from the surface of the Sun need to travel across the vacuum of space to reach our eyes. The short answer is that it takes sunlight an average of 8 minutes and 20 seconds to travel from the Sun to the Earth

Picture:

solve 2y - 18 = -26 for y

Answers

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Find the area of the given figure :

Answers

Answer:

formula for area is length × height

so we have 13+8 ×16+4

21×20 = 420m

The area of a circular field is 16π square miles. What is the diameter of the field in miles.

Answers

Answer:

8

Step-by-step explanation:

1. Divide the area (in square units) by Pi (approximately 3.14159).

2. Take the square root of the result. This is the radius.

3. Now double the radius to get the diameter

Answer:

8 miles

Step-by-step explanation:

When given area, we use the formula of 2√(area/pi). It may look slightly complex, but in this equation, we are fortunate that pi is in our area. This essentially cancels out the pi in the equation, simplifying it to √(16), which is simply 8!

Hope this helps you!

Brainliest if correct! Please explain how this is done!
In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
I will mark brainliest if you are correct!

Answers

The value of csc C in fraction and in decimal form is as follows:

csc C  = 5 / 3

csc C = 1.66666666667

Using trigonometric ratio,

secant A = 1 / cos A = hypotenuse / adjacent

Therefore,

sec A = 5/3

sec A = 1 / cos A

cos A = adjacent / hypotenuse

cos A = 3 / 5

A = cos⁻¹ 0.6

A = 53.1301023542

Therefore,

∠A = 53°

∠B = 90°

∠C = 180 - 143 =  37°

cosec C = 1 / sin C = hypotenuse / opposite

cosec C = 5 / 3

learn more about trigonometry here: https://brainly.com/question/25942962?referrer=searchResults

A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?

Answers

Answer:

length = 5

Step-by-step explanation:

area = length × width

23 = length × 4.6

23 ÷ 4.6 = length

5 = length

a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 4 chocolates

Answers

Answer: not sure

Step-by-step explanation: uhhh this ain't clear. how many boxes are there?

Answer:3x8/4
I Hope This Helps

(please help) how many lines of symmetry does the figure have ? type the number only

Answers

Lines of symmetry are lines which cut a figure into two equal halves.As shown in the picture, there are 3 lines of symmetry in the figure.

Hope you could get an idea from here.

Doubt clarification - use comment section

30 POINTS John opens a savings account and decides to deposit $10 each month. Let x represent the number of
months that he has been saving, and y, represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4

Answers

Answer:

7.) y=10x

8.) $140 in 14 months, $60 in 6 months

9.) He will have saved $100 in 10 months and $175 in 17.5 months

10.) The rate of change is 10

11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.

12.)

0- $0

1- $10

2-$20

3-$30

4-$40

Step-by-step explanation:

7.) The standard form of a linear equation is y=mx+b

The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)

8.) y=10(14)

$140

y=10(6)

$60

9.) 100=10x

100/10= 10

10 months

175=10x

175/10=17.5

17.5 months

10.) The rate in change is m so 10.

Hope I explained this in simple enough terms. Have a good day!

Mrs. Crandall spent $42 on window shades that were on sale for a certain percent discount. The original price of the shades was $70. What percent was the discount?

Answers

To calculate the percent you need to:

Subtract the new price from the old price

70 - 42 = 28

Divide this number by the original price

28/70 = 0.4

Multiply this number by 100

0.4 * 100 = 40

The percent of discount was 40% off. What a steal.

A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm

Answers

Answer:

-9 degrees

Step-by-step explanation:

-14 + 8 = -6

-6 + 2 = -4

-4 - 5 = -9

The temperature at 6pm dropped down to .

What is a mathematical function, equation and expression?               function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees

We can write -

T{6 AM} = - 14°

T{12 PM} = 8°

T{3 PM} = (8 + 2)° = 10°

T{6 PM} = 10° - 5° =

Therefore, the temperature at 6pm dropped down to .

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

NEED HELP QUICK I WILL GIVE BRAINLIST

Answers

Answer:

What is it that you need?

what is the question

PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72

Answers

Answer:

52

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

Let a and b stand for two different rational numbers. If |a|>|b|, then what else must be true?

its for imagine math

Answers

Answer:

dont now

Step-by-step explanation:

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed

Answers

Answer:

10π

Step-by-step explanation:

First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.

So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ

Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.

Answers

Answer:

Neither statement is correct

Step-by-step explanation:

Khan

Answer:

Neither statement is correct

Step-by-step explanation:

Answer on Khan Acadmey

Help me, I'm really tired atm

Answers

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is $20. Sara ends up buying $80 worth of roses and tulip plants. Which equation represents the relationship between the number of rose bushes, x, and the number of tulip plants, y, that Sara bought at home depot?

Answers

Answer:

3r + 4t = 80

Step-by-step explanation:

Roses cost $3 each, tulips cost $4 each

5) The bakers at Healthy Bakery can make 160 bagels in 5 hours. How many
bagels can they bake in 15 hours? What was that rate per hour?

Answers

Answer:

They can make 480 bagels in 15 hours. The rate is 32 bagels per hour. Hope this helped! if the answer is wrong i'm super sorry!

Step-by-step explanation:

160 = 5hr

160 x 3 = 480

5 x 3 = 15

480/15 = 32

is y = 2/3x - 7 proportional or not?

Answers

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

Please tell me the answer

Answers

Answer:

16 it's answer

Step-by-step explanation:

√121 + ³√125

11+5

16

16 is the ans hope it helps

The sum of three times a number and 5 is 32

Answers

Let the number be x.Therefore, by the problem3x + 5 = 32or, 3x = 32 - 5or, 3x = 27or, x = 27 ÷ 3or, x = 9

Answer:

The number is 9.

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Let the no. be x.

[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]

what is (2i)^2? and is it a real or imaginary number?

Answers

Answer:

4i

Step-by-step explanation:

Distribute the 2, you get 4i.

It's imaginary because it has an i with it

Answer:

-4, real

Step-by-step explanation:

Hi there!

‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1

If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.

I hope this can help!

Solve the quadratic for x. Select all that apply.
x? + 7x - 30 = 0
O A. X=3
O B. X=-6
C. X=-10
D. X=-3
O E.X=5
O F.x=6

Answers

X = 3, -10
Hope this helps

I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)

Answers

Answer:

Option B, x + 2y = 8

Step-by-step explanation:

When two lines are parallel, their gradients are equal i.e M1 = M2

(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)

Gradient of a line = (y2 - y1)/(x2 - x1)

Using coordinates (-4,0) and (4,-4)

Gradient of the line = (-4-0)/[4-(-4)]

= -4/4+4

= -4/8

= -1/2

Therefore gradient of the parallel line is -1/2

Equation of a line using slope intercept form

(y - y1) = m(x - x1)

The parallel line passes through point (2,3)

y - 3 = -1/2 ( x - 2)

2(y - 3) = -1(x - 2)

2y - 6 = -x + 2

2y + x = 8

I hope this helps you to learn....

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