the surface "s" area of a sphere of radius " r" is given by the formula of s= 4πr^2
find;
1, the surface area of a sphere whose radius is 5 cm
2,the radius of a sphere whose surface area is 23716/81​

Answers

Answer 1

Answer:

As below

Step-by-step explanation:

1)    4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]

2)    s = 4 * pi *[tex]r^{2}[/tex]

[tex]\sqrt{s / (4*pi)}[/tex] =r

[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r

15.1643... = r   :)


Related Questions

DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is

Answers

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

The area of a rectangle is 20x^6y^4. The length of the rectangle is x^2y^3. What is the width of the rectangle?

Answers

Answer:

[tex]Width\ of\ the\ rectangle\ is\ 20x^4y[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y[/tex]

Help 9th grade math please please please

Answers

Answer:

A.) This system has no solutions.

Step-by-step explanation:

y = 1/2x + 4

-1/2x + y = -5

-1/2x + (1/2x + 4) = -5

4 = -5

The system has no solutions, if we graph it, we get that it has the same slope with two different y-intercepts, these two are parallel. These two points will never meet at a point.

Answer:

use the relationship between coefficients of a pair of linear equations for no solutions i.e. a1/a2 equal to b1/b2 not equal to c1/c2 .

Here, a is coefficient of x and b is coefficient of y and c is constant term in both equation but make sure that you put the values of a1,a2,b1,b2,c1 and c2 after converting both equation in the form ax+by+c=0 with proper sign and here y=1/2(x) +4 is equation 1 and other is equation 2

What is the correct answer? Please hurry

Answers

Answer:

2.5m

Step-by-step explanation:

5/2 = 2.5

Which fraction is equivalent to 2/4

Answers

Answer: 1/2

Step-by-step explanation:

2/4=1/2

Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.

Step-by-step explanation:

HELP ME ASAP PLEASE!!

Answers

Answer:

a=45 b=65

Step-by-step explanation:

You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above

The cost of a car rental is ​$30per day plus per mile. You are on a daily budget of ​$75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer:

Step-by-step explanation:

Cost ≤ per day amount + daily mileage amount.   * miles

75 ≥ 30 + daily mileage amount * miles

That's as far as I can take you. Two other equations are impossible without the daily mileage amount.

I can make one up. Suppose it is 75 cents a mile

75 ≥ 30 + 0.75 * x       Subtract 30 from both sides

75 - 30 ≥ 0.75*x

40 ≥ 0.75*x                 Divide by 0.75

40/0.75 ≥ x

53.33 miles = x  

Anything more and you are going over budget. Anything less is fine.

This is enough to get you started without knowing what the rate per mile is.

Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0​

Answers

Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

Iggy wants to purchase a six-cylinder sports car that costs $15,690. The dealer is offering either a $3,500 instant rebate or 20%-off discount. Which incentive should Iggy use to pay the lowest price for the car?

Step 1: Find the price after rebate.

$12,190
$12,490
$13,190
$12,552​

Answers

$12552 because after rebate $3,138 would be reduced from the price making the ending price be $12,552

At right is the tunnel entrance that runs through
Castle Hill in Budapest, Hungary.



-a If the maximum height of the tunnel is the
same as its maximum width, 9.8 meters,
determine a quadratic model to represent
the tunnel
-b State a geometric model that could be used to
represent a truck passing through the tunnel.
-c If a typical truck has a width of 2.62 m,
determine the height limitation that should
be put on these trucks if they are going to
travel through the tunnel safely. State any
assumptions that you made and be sure to
show all of the steps in your solution.
-d Because its length is almost 350 meters,
a truck stopped in the tunnel would need
enough room for the passenger door to open
fully. Suppose a truck with a width of 2.6 m
and height of 3.4 m is stuck in the right lane
of the tunnel by the center line. The top of
the driver's door is 0.2 m below the top of the
truck, and the door opens 0.8 m to the side.
Show that the door can open fully, showing
all of your steps.
-e Determine how close to the side of the tunnel
the truck could be in d be and still be able to
open the passenger door.
-f Describe some issues/concerns that you
think architects take into account when
modelling a tunnel before its construction
End of document​

Answers

Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation:

Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]

Answers

Answer:

(a). 6 ; (b). $5 ;  (c). Larry'c ; (d) at time they open their accounts.

Step-by-step explanation:

Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5

Tom's saving habits:

m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6

[tex]y_{T}[/tex] = 12x + 6

(a). $6

(b). $5

(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )

(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?

15x + 5 < 12x + 6

3x < 1

x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.

What is the value of X?

A: 125
B: 110
C: 35
D: 55

Answers

Answer:

The value of X is 35

Step-by-step explanation:

If I’m not right I apologize

You work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the
table and prepare their food. The family gives you a $11 tip. You want to split the tip evenly with
your co-worker. How much should you give your co-worker?

Answers

Answer:

:$5.50

Step-by-step explanation:

You will give your co-worker $5.5.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that you work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the table and prepare their food. The family gives you a $11 tip.

For evenly splitting the tip, you will give your co - worker :

{x} = 11/2 = 5.5

{x} = $5.5

Therefore, you will give your co-worker $5.5.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ5

b. Sonya says that her profit is increasing 4 times as
fast as Kirsten's profit. Do you agree? Explain.
Lesson 8 Compare Functions

Answers

Answer:

No, I beleive that her profits are only 3 times as much as Kirsten's profits.

Step-by-step explanation:

Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{4-1}{2-1}[/tex]

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

The slope is y= 3x-2 is correcttt

Help hep help hep plz plz plz

Answers

Answer:

w=4

Step-by-step explanation:

HELP PLZ!! WILL MAKR BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

The y-intercept is -5.5 as per graph

Taking two random points from the graph to find the slope:

(-1, -6) and (1, -5)

Use slope formula: m = (y2 - y1)/(x2 - x1)

m = (-5 - (-6))/(1 - (-1)) = 0.5

The line in slope-intercept form is (y = mx + b)

y = 0.5x - 5.5

or

y = 1/2x - 11/2

Answer:

i don’t think I understand.

Step-by-step explanation:

Please provide an explanation with your answer, thank you!

Answers

Answer:

the answer is c. because the awnser is 47.5 and round upto the nearest whole number si 50

Step-by-step explanation: if the yard stick is  3ft and the shadow is 4ft that means the shadow of the stick is 1ft longer than the stick itself.

so if the shadow of the flag pole is 20ft than you -1 and get 19 as shown "20 - 1 = 19" then it said the rope needs to be 2.5 times as long as the pole so you multply 19 by 2.5 as shown "19 x 2.5 = 47.5" round up its 50ft. so there you go hope it helped let me know

Help will give crown

Answers

Answer:

1--7

4--22

6--32

10--52

Answer:

x=1 y=7

x=4 y=22

x=6 y=32

x=10 y=52

Step-by-step explanation:

1/3 + 3/4= 3/12 + 9/12 =12/12 = 1circle the one mistake

Answers

How do I circle the mistake but it is 1/3 plus three fourths isn’t 3/12

Answer:

The left side  1/3  does not equal to the right side  1 , which means that the given statement is false.

Rachael is a nurse she earns 12 vacation days after working 768 hours how many hours does rachael need to work to earn 1 vacation day

Answers

Answer:

the answer would be 64 hours

Step-by-step explanation:

You just had to divide 768 by 12

Please help with this

Answers

Answer:

dude your teacher is on crack

Answer:

option B (37)

Step-by-step explanation:

74÷2 (as it's half)= 37

XT= 37

Hope it helps!

what expression is equivalent to (2.1x+4.3) - (-3x-7)

Answers

The answer is 5.1x+11.3

Which of the following represents the GCF of 98 ab 3 and 231 a 3 ?

7 a
7 a 3
7
7 a 3b 3

Answers

Answer:

7a

Step-by-step explanation:

we know this, because there is no b in the second polynomial. Therefore, there cannot be a b in the answer. There is also no b^3 in the second polynomial, so there cannot be a ^3

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Answers

Answer:

27 degrees

Step-by-step explanation:

is the answer

Which method could be used to estimate the growth rate of an exponential function from its graph?
-Divide the value of the function at x=3 by the value of the function at x=0, and then take the square root of the result.
-Divide the value of the function at x=2 by the value of the function at x=0, and then square the result.
-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.
-Divide the value of the function at x=0 by the value of the function at x=1, and then subtract the result from 1.

Answers

Answer:

-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.

Step-by-step explanation:

hope this help

pick me as the brainliest dont report me please

Fiona doubled the original amount in her savings account, s. Which expression represents her new balance and what is that new balance if s = 160? 2 s; when s = 160 the new balance in Fiona's savings account is $80. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $320. 2 s; when s = 160 the new balance in Fiona's savings account is $320. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $80.

Answers

Answer:

C is the answer ,got it right on EDG 2020

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Evaluate g(x)=4 -3x when x=-3,0, and 5

Answers

Answer:

-11

Step-by-step explanation:

A square has side length 4 cm.
a. What is its area?

Answers

Answer:

16cm and a 2 as a exponet

Step-by-step explanation:

Answer:

A=16cm²

Step-by-step explanation:

i think 90% sure that its correct

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and perpendicular to y = 1/3x + 5

What is the equation:

Answers

Answer:

3=-3*-3+b

3=9+b

-9 on both sides

-6=b

y=-3x-6

*-3 because the opposite of 1/3 is -3*

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