What is the radius of a sphere with a volume of 797 ft^3to the nearest tenth of a
foot?

Answers

Answer 1

Answer:

[tex]\displaystyle r \approx 5.8 \ ft[/tex]

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 797 ft³

Step 2: Solve for r

Substitute in variables [Volume of a Sphere Formula]:                                 [tex]\displaystyle 797 \ ft^3 = \frac{4}{3}\pi r^3[/tex][Division Property of Equality] Isolate r term:                                                 [tex]\displaystyle \frac{2391}{4 \pi} \ ft^3 =r^3[/tex]Rewrite:                                                                                                             [tex]\displaystyle r^3 = \frac{2391}{4 \pi} \ ft^3[/tex][Equality Property] Cube root both sides:                                                       [tex]\displaystyle r = \frac{4782^{\frac{1}{3}}}{2 \pi^{\frac{1}{3}}} \ ft[/tex]Evaluate:                                                                                                           [tex]\displaystyle r = 5.75162 \ ft[/tex]Round:                                                                                                                [tex]\displaystyle r \approx 5.8 \ ft[/tex]

Related Questions

Toy cars cost $2. If Anna bought 4 toy cars and 5 toy airplanes and spent $38, how
much does a toy airplane cost?

Answers

Answer: A toy airplane costs $6

Step-by-step explanation: Because 4 toy cars cost $8 , then there are $30 for 5 toy planes. One toy plane cost 30/5 = $6

ASAP
What is the area of this composite figure?
150 mm
1
55 mm
210 mm
1
1
155 mm

Answers

Answer:

9,900 millimeters squared

Step-by-step explanation:

Hope that helped

I will give brainlist A pentagonal prism has dimensions that are four times the dimensions of a similar pentagonal prism. So its volume is
times the volume of the smaller prism.

64
4
8
16

Answers

Answer:

The correct answer is 64

Step-by-step explanation:

we know that,

volume =4x

=4×4×4

=64

Answer:

64

Step-by-step explanation:

1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?

Answers

Answer:

Finding the area of a large rectangle is A = l × b

Step-by-step explanation:

A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,

Example: (a=lxb) + (a=lxb) = Area of big rectangle

8. 10xy

I need help plsssssss

Answers

what??????





what are you trying to say?

Re-write the quadratic function below in Standard Form
y = 9(x - 1)(x + 3)

Answers

y=9(x^2+3x-x-3)
y=9(x^2+2x-3)
y=9x^2+18x-27

The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!


A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.


The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.


The margin of error of the population proportion is found using half the range.


What is the interval estimate of the true population proportion?

A.)(0.24, 0.48)

B.)(0.30, 0.42)

C.)(0.22, 0.50)

D.)(0.20, 0.52)

Answers

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)

Lorenzo needs to run 13 1/2 miles this week to meet his goal of his first training plan so far this week he has ran 3 1/2 Miles on Monday and 4 1/4 miles on Tuesday how many more miles does he need to run this week in order to meet his goal

Answers

Answer:

5 3/4 hours  remaining to meet his goal  

Step-by-step explanation:

miles required  to meet his goal = 13 1/2 miles

Miles ran on monday =3 1/2

Miles ran on Tuesday =4 1/4

Miles remaining to reach his goal =Total miles required - Miles ran on Monday and Tuesday

13 1/2 - ( 31/2 + 4 1/4 )

  131/2 -   7 3/4

change to improper fraction for easy solving

27/2 -31/4

54-31 /4=23/4 =5 3/4 hours

(x+5)(x+1)+(x+5)(x+8)

Answers

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

Type the correct answer in the box. The product of (3 - 4) and is 25.​

Answers

Answer:

3+4i

Step-by-step explanation:

let x be the answer

(3-4i)x=25

x=25/(3-4i)

multiply by the conjugate

x=(25(3+4i))/25

x=3+4i

Step-by-step explanation:

solution

2/7 of 3/4= 2/7×3/4=

(2×3)/ (7×4)

Ans = x= 3+4i

HELP RN IT EASY PLEASE

Answers

Answer:

b (6b+3)

Step-by-step explanation:

Answer:

10 + 2b

Step-by-step explanation:

To figure this out, distribute the 2 into the parentheses:

4 + 2(b + 3)    ---->    4 + 2b + 6

Now combine like terms:

10 + 2b

Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

Answers

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

Solve (4 - 5i)(-5 + i)
write answer in the form of a+bi
show all steps

Answers

(4-5i)(-5+i)
= 4x-5 + 4xi + -5i x -5 + -5ixi
= -20 + 4i +25i -5i²
Use Foil, or the box method to multiply
4 -5i
-5 -20 25i
i 4i -5i^2

Combine like terms
-5i^2 +29i -20

By definition i^2 is equal to -1
Plug it in
-5(-1) +29i -20
29i -20 + 5

ANSWER:
29i -15

i need help please help

Answers

Answer: J x=6; slope is undefined

Step-by-step explanation:

Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing

Answers

Answer:

1 inch =  3 feet

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

6 /2 = 3

1 in = 3 feet

What is the range of the function in the graph?

Answers

Answer:

20 ≤ y ≤ 70

Step-by-step explanation:

Range is the possible outout values

20 ≤ y ≤ 70

Complete the table of values for y = x2 - 4x

Answers

Answer:

-1      0      1      2      3      4      5

5      0     -3     -4     -3     0      5

Curve (B) best matches the given graph.

Step-by-step explanation:

When given the following function,

[tex]y=x^2-4x[/tex]

The problem asks one to evaluate the function for the given list of values, substitute in each of the values and solve to find the value of (y),

(-1)

[tex]y=x^2-4x\\y=(-1)^2-4(-1)\\y=1+4\\y=5[/tex]

(1)

[tex]y=x^2-4x\\=(1)^2-4(1)\\=1-4\\=-3[/tex]

(2)

[tex]y=x^2-4x\\=(2)^2-4(2)\\=4-8\\=-4[/tex]

(4)

[tex]y=x^2-4x\\=(4)^2-4(4)\\=16-16\\=0[/tex]

I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS

Answers

Answer:

point S is (-2, 0) if that's what the question is asking for

Step-by-step explanation:

3/5+3/5+3/5+3/5+3/5=?​

Answers

[tex] \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} \\ \\ = \frac{3 + 3 + 3 + 3 + 3}{5} \\ \\ = \frac{15}{5} \\ \\ = \cancel \frac{15}{5} \\ \\ = 3[/tex]

Hope This Helps You ❤️

Answer: 3.

Step-by-step explanation:

3/5+ 3/5= 1 1/51 1/5 + 3/5= 1 4/52 2/5 + 3/5= 3.

Find the H.C.F. of 8, 12, and 20

Answers

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

Answer:

4

Step-by-step explanation:

2 8 12 20

2 4 6 10

2 3 5

:2*2=4

2
4
5
3
help me find x

Answers

Answer:

Step-by-step explanation:

5x =2x+9(corresponding angles are always equal)

5x-2x=9

3x=9

x=9/3

x=3

Find x. Round your answer to the nearest tenth of a degree

Answers

Answer:

[tex]\displaystyle x \approx 53.1^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                      [tex]\displaystyle cosx^\circ = \frac{15}{25}[/tex]Simplify:                                                                                                             [tex]\displaystyle cosx^\circ = \frac{3}{5}[/tex]Inverse Trig:                                                                                                      [tex]\displaystyle x^\circ = cos^{-1}(\frac{3}{5})[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 53.1301^\circ[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 53.1^\circ[/tex]

what is the area of the figure below​

Answers

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

PLS HELP ILL PUT U AS BRAINLIST AND FOLLOW U

Answers

Answer:

76cm^2

Step-by-step explanation:

Can be divided in three parts

Part 1; Area= 6×2

=12cm^2

Part 2; Area= 2×2

=4cm^2

Part 3; Area= 10×6

=60cm^2

Add them; 60+4+12

76

Answer:

area 1

10x6

=60

area 2

2x4

=8

area 3

2x4

=8

total area is 60+8+8

total area is 76m²

who want points and brainlist just answer quick............

Answers

ITS THE LAST ONE TRUST ME I JUST FINISHED WITH THAT ONE

Answer:

last answer

Step-by-step explanation:

Work out the value of x when 2^30/8^9=2^x step by step explan please
please i need explanation >"

Answers

Answer: Write the expression in exponential form with the base of 2 like this 2^30/8^9= 2^3=2^x since thebases are the same, set the exponents equal. 3=x swap sides x=3

Step-by-step explanation:

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
What is the ft and in

Answers

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

how do ratios work. is there trick you can use to do very ratio

Answers

Answer:

[tex]\frac{5}{8} :\frac{y}{24}[/tex]

Cross multiply.

y × 8 = 24 × 5

Simplify.

8y = 120

Divide each side by 8.

8y ÷ 8 = 120 ÷ 8

Simplify.

y = 15

[tex]\frac{6}{8} :\frac{y}{24}[/tex]

You can simplify 6/8.

[tex]\frac{3}{4} :\frac{y}{24}[/tex]

Cross multiply.

y × 4 = 3 · 24

Simplify.

4y = 72

Divide each side by 4.

4y ÷ 4 = 72 ÷ 4

Simplify.

y = 18

4x+3y=1 2x+5y=11 solve for x and y

Answers

4x+3y=1 2x+5y=11

We'll need to use system of equations for this one.

4x+3y=1

3y=1-4x

y=-4/3x+1/3

2x+5y=1

5y=1-2x

y=-2x/5+1/5

Set these two equations equal to each other and solve for x.

-2x/5+1/5=-4/3x+1/3

x=1/7

Then plug x in to solve for y.

y=-2(1/7)/5+1/5

y=1/7

Calcula la longitud de un arco en un sector circular cuyo ángulo central mide 2grados y su radio mide 36000cm

Answers

Answer:

i dont know man

Step-by-step explanation:

oo

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