Carlos wants to build a circular hot tub with a volume of 1,000 ft3. What is a good approximation for the radius of the tub?

Answers

Answer 1

Answer:

6.2 feet

Step-by-step explanation:

we can determine the radius from the volume of the hot tub

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

1000 = (4/3) x (22/7) x r^3

divide both sides of the equation by  (4/3) x (22/7)

238.636 = r^3

find the cube root of both sides

r = 6.20 feet


Related Questions

In her metalwork class, Anja cut a square of
tin, of edge 3.7 cm, from a larger square of
edge 6.3 cm. What area of tin was left?

Answers

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

[tex]Area=a^2[/tex]

Where, a is the edge of the square.

Area of the smaller square is:

[tex]A_1=(3.7)^2[/tex]

[tex]A_1=13.69[/tex]

Area of the larger square is:

[tex]A_2=(6.3)^2[/tex]

[tex]A_2=39.69[/tex]

The area of the remaining tin is:

[tex]A=A_2-A_1[/tex]

[tex]A=39.69-13.69[/tex]

[tex]A=26[/tex]

Therefore, the area of the remaining tin is 26 sq. cm.

helps plz,
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
A. 2x^2
B. 4x^2
C. 6x^2
D. 8x^2
Thanks!!

Answers

[tex] \huge \mathrm{Answer࿐ }[/tex]

Fig - 1 : Rectangle

length = 3x + x = 4x

width = x + x = 2x

[tex] \boxed{\mathrm{Area = length \times width}}[/tex]

[tex]4x \times 2x[/tex]

[tex]8 {x}^{2} [/tex]

_____________________________

Fig - 2 : Kite

[tex] \boxed{\mathrm {Area = \dfrac{1}{2} \times d_1 \times d_2 }}[/tex]

[tex] \dfrac{1}{2} \times 4x \times 2x[/tex]

[tex]4 {x}^{2} [/tex]

_____________________________

Area of shaded region :

Area of rectangle - Area of kite

[tex]8 {x}^{2} - 4 {x}^{2} [/tex]

[tex]4 {x}^{2} [/tex]

So, Correct option is B. 4x²

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Sangsters sells staples in packs of 500 Staples for $1,250 and 1000 Staples for $3,000. Which pack is the better value for money? Justify your answer.

Answers

1000 is better you get 1 staple for every $3 as opposed to 1 staple every $2.50
You get double for $0.50 more per staple

Answer:

Step-by-step explanation:

I want to know what kind of stables are these?  Are they made out of gold?

$1250 / 500 stables      verses     $3000 / 1000 stables

   $2.5 per stable                                $3 per stable

Both packs are too expensive but $2.5 per stable isthe better value.

What are the solutions to this equation?

16x2 + 9 = 25

Answers

Answer:

Step-by-step explanation:

Solution

= −1

= 1

Answer: x=-1,1

Step-by-step explanation:

16x^2+9=25 first we subtract 9 from the right and left sides.

16x^2=16

Divide both sides by 16 to isolate x

x^2=1

Take the square roots of both sides to isolate x completely.

x=1,-1

A store is going out of business. Everything is
marked down 40%. How much do you pay for an item
that used to cost $150?
A. $90
B. $110.50
C. $40

Answers

A. $90
150 x .40= 60
150-60=90

a dice is rolled 60 times, what is the probability of it landing on 4

Answers

Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.

The exact chance that the face with six spots appears 9, 10, or 11 times?

my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.

SE(6spots)=SD=SQR(606⋅56)=2.8868

Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10

Standard deviation=2.8868

Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?

The exact chance that the face with six spots appears 10 times is found from

60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times

.........help.......me.......please

Answers

Answer:

145°

Step-by-step explanation:

180-35=145

Answer:

145°

Step-by-step explanation:

subtract 35 from 180

because a straight line is 180

180- 35

145°

to check,

add 35 and 145 to make sure it adds up to 180

it does.


What is the probability of rolling a 1 ora 4 on a number cube labeled 1 through 6?

Answers

Answer:

For each number, there is a 1/6  probability of rolling it (so 1/6  for the 1 and also 1/6 for the 4).

This means that the probability of rolling either a 1 or a 4 on a given roll is  

1 /6 +   1 /6 = 2/6 = 1/3  

hope this answer helps you.....

Answer:

Is 1/6

Step-by-step explanation:

jose paid $47.00 for 4 movie tikits. each tiket cost the same amount . what was the cost of each movie tiket in doller and cents?

Answers

The answer is £11.75
$11.75 each hope this helps!

Answer the question above

Answers

Answer:

BA

Step-by-step explanation:

The hypotenuse is the longest side or opposite the right angle.

Answer:

AB

Step-by-step explanation:

The pythagorean theorem is AC² + CB² = AB²

AB represents the hypotenuse

find the mole fraction of benzene and toluene in solution containing

(a) equal mass of each

(b) equal molecules of each ​

Answers

Answer:

Hello There!!

Step-by-step explanation:

I think the answer is possibly (b) equal molecules of each .

hope this helps,have a great day!!

~Pinky~

which number is equivalent to 2^3/3^3​

Answers

Answer:

8/27

Step-by-step explanation:

Nadia needs 2/5 cup of orange juice for a punch recipe. She will double the recipe to make punch for a party. Which statement is true?

Answers

Answer:

Step-by-step explanation:

There's not a lot to go on with the details provided in the question, but based on all you said, if there isn't more to the question, then the true statement is the fact that Nadia needs 2/5 cup of orange juice for punch recipe.

Twice that amount is 4/5, and logically, that can't suffice in a party, except it's a party of 3, maybe 5 people. I'm assuming the people in the party would be much more than that. Makes the fraction impossible

Given that the area of the whole rectangle is 48 square units, find the area of (I).

Answers

I think the area of 1 is 5 or 8

what is the least common denominator of 3/1+8/4

Answers

Answer:

4355646

Step-by-step explanation:

45345

Answer:

least common denominator is 4

Step-by-step explanation:

3/1+8/4=20/4 which is 5

So say someone did 1000 push ups a day for 8 years 2920 days in 8 years and you want to do the same amount but in 2 months how many would you have to do a day

Answers

Answer:

48,667 if you round it..

Step-by-step explanation:

1000x2920 = 2,920,000

divided by 2 months

2,920,000/2 = 1,460,000

and theres 30-31 days in a month

1,460,000/30 = 48,666.67

What two numbers have a product of -54 and a sum of -3?

Answers

Answer:

-9 and 6

Step-by-step explanation:

Answer:

-9 and 6

Step-by-step explanation:

-9X6 is -54

and -9+6 is -3

I SHALL REWARD THEE WITH BRAINLIEST Change -2Y - 2X = -6 to the slope intercept form of the equation of a line (I NEED EXPLANATIONS FOR FURTHER QUESTIONS I GET STUCK ON) :3 ty and hawwo

Answers

Answer:

y = -x + 3    

Step-by-step explanation:

First of all, you need to memorize several forms of the equation of a straight line.  Here you have -2y - 2x = -6 in "standard form" and want the equivalent equation in "slope intercept form," y = mx + b.

To get this, solve the first equation for y by dividing all three terms by -2:

y + x = 3.

Then solve this result for y:

y = -x + 3    

This is the desired equation in slope-intercept form.

How would I set this to 0?

Answers

Answer:

− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0  is not an identity

Step-by-step explanation:

Q1: 17 divided by 14.91

Answers

Answer:

1.14017438

Step-by-step explanation:

Answer:1.140174379611

Step-by-step explanation:

Find (x-4) (2x +1) using table of products. Write in standard form

Answers

Answer:

[tex]2x^{2} - 7x - 4[/tex]

Step-by-step explanation:

Give Me Brainllest

Answer:

Your welcome ;)

Step-by-step explanation:

A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?

Answers

Answer:

17

Step-by-step explanation:

11 - 2(-3) = 11 + 6 = 17

should put -3 where x is

Please help me with this please ASAP

Answers

Answer:

h: 4

LA: 80

SA: 112

Step-by-step explanation:

Solve for h, and then use the previous equations.

which of the following can be brisk? a.A gift from a relative b.A walk around town c.a bowl of soup d.A fall breeze

(Pick all of the following hint: there is more than one.)​

Answers

Answer:

A fall breeze and a bowl of soup I might say.

Help me with this?!!!!

Answers

Answer:

14

Step-by-step explanation:

we can use sin(30⁰) to solve this and the units will be 14

12.124355652982144 round it to however many units u want

Help I need this tomorrow

9. Make Sense and Persevere The graph shows
the number of gallons of water in a large tank
as it is being filled. Based on the trend line,
predict how long it will take to fill the tank
with 375 gallons of water.

Answers

Answer:

About 18 minutes

Step-by-step explanation:

18
Mins that’s the answe


hi someone fill out this chart pls. will give brainly if u do it correctly

Answers

Answer:

1 → 10

2 → 1000

3 → 16

4 → 64

5 → 6

6 → 36

7 → 7

8 → 343

a little help would be nice

Answers

Answer:

13). -2x³ + x² + 1   14). x + 10y - 10z   15). -2x³ + x² + 1

Step-by-step explanation:

13). (x³ - x² + 4) - (3x³ - 2x² + 3)

= x³ - x² + 4 - 3x³ + 2x² - 3

= x³ - 3x³ - x² + 2x² - 3 + 4

= -2x³ + x² + 1

14). (3x + 4y - 3z) - (2x - 6y + 7z)

= 3x + 4y - 3z - 2x + 6y - 7z

= 3x - 2x + 4y + 6y - 3x - 7z

= x + 10y - 10z

15). (x³ - x² + 4) - (3x³ - 2x² + 3)

= x³ - x² + 4 - 3x³ + 2x² - 3

= x³ - 3x³ - x² + 2x² + 4 - 3

= -2x³ + x² + 1

I really need help please

Answers

Answer:

Step-by-step explanation:

This is the answer

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

8) 50°, 50°, 130°, 130°10) 120°

Step-by-step explanation:

Ex 8

Adjacent interior angles of a parallelogram are supplementary

Let the small angle is x, the other angle is:

2x + 30°

The sum of two angles is 180°

x + 2x + 30° = 180°3x = 150°x = 50°

The angles are 50°, 50°, 130°, 130°

Ex 10

Sum of interior angles of a pentagon is:

S = 180°(5 - 2) = 540°

Two of the angles are supplementary, so they sum to 180°

The sum of the remaining 3 angles is:

3x = 540° - 180°3x = 360°x = 120°

Each of the congruent angles is 120°

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