The volume of a sphere is 45001 m3. Find the length of the radius
of the great circle.

Answers

Answer 1

Answer:

[tex]\large \boxed{\text{22.07 m}}[/tex]

Step-by-step explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r).

[tex]\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}[/tex]

The Volume Of A Sphere Is 45001 M3. Find The Length Of The Radiusof The Great Circle.

Related Questions

A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth.


(8.7, −3.5)

(−4, −6.9)

(4, −6.9)

(−8.7, −3.5)

Answers

Answer:

(−4 -6.9 )= x, y  rotation 240 degree anti clockwise

Step-by-step explanation:

We are told radius = 8 so the center point or point of origin is 0.0

360/3 = 120 degree x 2 = 240 degree is where we need to be.

(8,0)  circulating anti clockwise = -8,0 at 180 = 180 degree.

This is 3 seconds.

We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.

We know both are negative if going anti clockwise 240 degree.

We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.

-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.

Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)

if 240/6.9 = 34% reduction

As 8 6.9 of 8 as a percentage = 86.25

As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.

y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.

The shortest point of the hand and central to 240 and 180 is 210 degree.

CAN SOMEONE HELP ON MY LAST QUESTION PLZZZ

Answers

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

PLEASE HELP

What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)

x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2

Answers

Initial value of 1 and rate of change is 2
So the first one

Helen and her sister started watching a cartoon movie at 10:26 A.M. The movie was 2 hours and 51 minutes long. After the movie, they played a card game for 32 minutes and then played soccer in the backyard for 1 hour and 6 minutes. What time was it when Helen and her sister finished playing soccer?

Answers

Answer:

2:55 P.M

Step-by-step explanation:

After the movie: 10:26 A.M. + 2 hours and 51 minutes --> 1:17 P.M.

After the card game: 1:17 P.M. + 32 minutes --> 1:49 P.M.

After playing soccer: 1:49 P.M. + 1 hour and 6 minutes --> 2:55 P.M.

What is the equation of the following line? Be sure to scroll down first to see all answer options

Answers

Answer:

E. y = 1/4x

Step-by-step explanation:

Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24. Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Answers

Answer:

The right option is twelve-fifths

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

Answer:

The correct answer is option C. 12/5

Step-by-step explanation:

Hope this helps!

Brainliest would be greatly appreciated :D

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

Answers

Answer:

Option (4)

Step-by-step explanation:

An ordered pair (x, y) represents,

x = number of days that a library book is late

y = Total fee for the delay

Late fee of a library book = $0.30 per day

Then late fee of a book for the delay of 'x' days,

y = per day fee × number of days delayed

y = [tex]0.30\times x[/tex]

Option (1). For (-3, -0.90)

Since number days can't be negative so not the answer.

Option (2). For (-2.5, -0.75)

Number of days are negative so can't be the answer.

Option (3). For (4.5, 1.35)

Fee for 4.5 days will be,

y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]

Fee for 4.5 days will be the same as fee for 4 days.

y = $1.20

Therefore, this option will not be the answer.

Option (4). For (8, 2.40)

y = 0.30x

y = 0.30(8)

y = 2.40

Therefore, option (4) will be the answer.

Answer:

8,2.40

Step-by-step explanation:

I need help plzzzzzz

Answers

Answer:

C) -b > 0

Step-by-step explanation:

as per the graph

a<b<c and a<0, b<0

A) a>b

incorrect as a is on the left from b

B) -b < -c

incorrect, b<c, when negative applied to both sides, inequality is reversed

C) - b> 0

correct, as b<0, when negative applied it make b positive, i.e greater than zero

Help which expression is equivalent to this one? cuhhhhh.....!!

Answers

Answer:

3^ 6

Step-by-step explanation:

3^-2 * 3^8

We know that a^b * a^c = a^(b+c)

3^(-2+8)

3^ 6

Answer: [tex]3^{6}[/tex]

Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.

So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].

This idea is called the product rule.

Someone just give answer, no need to explain!

Answers

Answer:

X=55

Step-by-step explanation:

90 + 35 + X=180

125+X=180

X=55

Answer:

x = 55'

Step-by-step explanation:

x+ 35 = 90 ( because there is perpendicular sign which is 90)x = 90 - 35(when 35 is sent into another side it will be -)

x = 55

Hope it helps you!

John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle. How much fencing will John need? Use StartFraction 22 over 7 EndFraction for Pi. 32 ft 39 ft 46 ft 57 ft

Answers

Answer:

He needs approximately 46 feet of fencing.

Step-by-step explanation:

John's garden has a shape of a composite figure as shown in the annexed drawing. To find the length of the fencing he needs we need to find the perimeter of the rectangle and subtract it with the width and find the length of the circle and divide it by two. This is done below:

[tex]\text{fence} = (\text{rectangle perimeter} - \text{width}) + (\frac{\text{circle perimeter}}{2})\\\text{fence} = (2*14 + 2*7 - 7) + (\frac{2*\pi*3.5}{2})\\\text{fence} = 35 + 11 = 46 \text{ feet}[/tex]

He needs approximately 46 feet of fencing.

Answer:

46

Step-by-step explanation:

What is the slope? WIL MARK BRAIN 20 POINTS

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

I believe it is 4/3. I just did rise over run to find the slope. Hope it helps! :)

simplify
x + x + y x y
plz thx

Answers

Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

_______________________________

Hey!!

Solution,

X+X+y*y

= 2x+y^2

The answer is 2x+y^2

hope it helps

Good luck on your assignment

____________________________

I don’t know which one it is I dint get it?

Answers

Answer:

5,5,5

Step-by-step explanation:

an equilateral triangle

Workers in an office of 90 staff where asked there favourite type of takeaway. The results are summarised in the table. Work out the size of each angle to draw a pie chart.

Answers

how do i answer this??

Step-by-step explanation:

just draw out according to a graph chart or pie chart

The table shows the amount of flour needed for six cookie recipes.
Recipe
Amount of Flour
(in cups)
Chocolate Chip Cookies
Sugar Cookies
2
Gingerbread Men
1.5
Peanut Butter Cookies
2.25
Oatmeal Cookies
2
Iced Pumpkin Cookies
23
21
What is the total amount of flour needed for all six cookie recipes?

Answers

Answer:

A. 15.5

Step-by-step explanation:

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.

If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n

The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?

Answers

Answer:

A) -128x^8 - 384x^7

Step-by-step explanation:

The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.

I know my explanation is a bit bad! I apologize!

Answer:

its a

Step-by-step explanation:

edge 2020 just took the test

3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos

Answers

Answer:

c. 8 cubes

Step-by-step explanation:

In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.

The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces

Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was the unit cost per foot for the fence?

Answers

I’m not sure what the gate has to do with the problem, but you should just divide 780 by 120 to get 6.5. In other words, each foot costs $6.50.

Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16

Answers

So what you do first is simplify the top equation

m-6(n+2)=-8
m-6n-12=-8
Add 12 to both sides to get
m-6n= 4

Next solve for m.
Add 6n to both sides
m=6n+4

Plug that into the second equation for m.

6n+(6n+4)=16

Combine like terms. 6n+6n is 12n so...

12n+4=16

Solve for n by subtracting 4 to each side

12n=16-4

12n=12

n=1

Plug n=1 into the m equation or any of the two original equations to solve for m...

6(1)+m=16
6+m=16
m=10

Since you solved for m earlier you could also do it this way:

m=6(1)+4

m=6+4

m=10

Thus your two solutions are m=10 and n=1

Hope this helps!!!!!

Answer:

M=10

n=1

Happy learning,

Applepi101

According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.

Will mark brainiest!

Answers

Answer: The answer is D

Step-by-step explanation:

If you read all the answers only D is true

Answer:

Its C. Trust me

Step-by-step explanation:

I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.

(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *

Answers

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

Learn more about average speed here

https://brainly.com/question/16898305

#SPJ2

a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?​

Answers

Answer:

The y-intercept b = 9/2

Step-by-step explanation:

A line has equation  x + 4y = 8  or y = (-1/4)x + 2

=> The slope of this line is -1/4

Another line y = ax + b has the slope a = -1/4 and passes (6, 3)

=> 3 = (-1/4)*6 + b

=> 3 = -3/2 + b

=> b = 9/2

=> The y-intercept b = 9/2

Answer: y-intercept = 2

Step-by-step explanation:

Slope-Intercept form of an equation is:  y = mx + b   where

m = slopeb = y-intercept

x + 4y = 8

     4y = -x + 8

       [tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+2[/tex]

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.

y = mx + b

3 = m(6) + 2

1 = 6m

[tex]\dfrac{1}{6}=m[/tex]

Equation: [tex]y=\dfrac{1}{6}x+2[/tex]

Can some one help me plz on this problem I need help asap! I need yo solved this problem plz help help help?

Answers

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

There are 650 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized box, how many toothpicks will the jumbo box​ hold?

Answers

Answer: 1950 is how many it will hold.

Step-by-step explanation:

Find the area of the shape shown below.
24
25
8
units?
HELP

Answers

Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

PLEASE HELP ME I WILL GIVE BRAINLIEST

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Answers

Answer:

there are fourteen 4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test :

m + n = 40 | 4n + 2n = 108

Multiplying (i) by 2 , we get

2m + 2n = 80

Subtract (iii) from (ii) , we get

2m = 28

⇒ m = 28/ 2 = 14

Using value of m in (i) , we get

14 + n = 40 ⇒ n = 26

from this we get there are fourteen  4-point questions and twenty six 2-point questions.

hope this helped!

Each letters from I to W is written on a separate index card and placed in a box. Which ratio represents the probability that a letter in the word MILK will be selected on the first try?

Answers

Answer:

Ratio = 4 : 15 or

[tex] \frac{4}{15} [/tex]

Step-by-step explanation:

Here letters from I to W are written on a separate index card.

I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W

Counting the letters, they are 15 in number.

To find the probability that a letter in the word MILK will be selected on first try, we'll get the following:

Possible event / total number

Since the word MILK contains 4 letters, the probability =

[tex] \frac{4}{15} [/tex]

Therefore, ratio that represents the probability that a letter in the word MILK will be selected on the first try is 4 : 15

Can someone plz help me solved this problem! I really need help ASAP! Will mark you as brainiest!

Answers

Answer:

a) k = 3 b) k = 4

Step-by-step explanation:

a) 3 x 7 = 21

b) 4 x 3 = 12

Answer:

1) k=3 (2) k=4

Step-by-step explanation:

[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]

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