What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?

Answers

Answer 1

The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters

Volume of a sphere

volume of a sphere = 4 / 3 πr³

where

r = radius of the sphere

Therefore,

volume = 397m³

Diameter = radius  × 2

Hence,

volume of a sphere = 4 / 3 πr³

volume of a sphere = 4 / 3 × 3.14 × r³

397 = 12.56 / 3 r³

cross multiply

397 × 3 = 12.56 r³

1191 = 12.56 r³

divide both sides by 12.56

r³ = 1191 / 12.56

r = ∛94.8248407643

r = 4.56009658

Hence,

diameter = 4.56009658 × 2 = 9.12 = 9.1 meters

learn more on sphere here: https://brainly.com/question/3008257


Related Questions

what is the difference in length beetween a 1 1/4 inch button and a 3/8 inch button

Answers

Answer:

7/8

Step-by-step explanation:

First you have to make the fractions into a common denominator. So I made 1 1/4 into 10/8. Now you just subtract 2/8 from 10/8 and get 7/8.

A lake has a surface area of 11. 0 square miles. What is its surface area in square meters?

Answers

Answer:

11mi² = 28489869m²

Step-by-step explanation:

m² = mi² / 0.00000038610

Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia to do it alone?

Answers


I think it is 7.36 hours

Please solve for the value of 3

Answers

Answer:

P = 45

Step-by-step explanation:

180 - 90 = 90

90 / 2 = 45

P = 45

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box

Answers

Answer:

h = 25 cm

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

given A = 450 and b = 18 , then

18h = 450 ( divide both sides by 18 )

h = 25

Answer:

h = 25cm

Step-by-step explanation:

Ethan's living room is 11 feet wide and 16 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?

Answers

56 hopes this helps for you go ahead

Can anyone solve this correctly?

Answers

Answer:

  24 cm³

Step-by-step explanation:

The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:

  V = BH

  V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³

The volume of the prism is 24 cubic centimeters.

_____

Additional comment

Note that this is half the volume of a rectangular prism of the same dimensions.

100 points and brainliest if u answer this right


Consider this dilation

(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b) What is the scale factor? Explain.

Answers

Answer:

a) Enklargement, b) k = 2

Step-by-step explanation:

a)

The original figure is ABC and the image is A'B'C'.

We can see the image is larger than the original figure.

It indicates that the dilation is an enlargement.

b)

Find the ratio of corresponding sides to find the scale factor.

First get the measure of corresponding line segments.

AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8

The scale factor is:

k = A'C'/AC = 8/4 = 2

#1

Enlargement

#2

Take two sides of both

BC=|-3-1|=4unitsB'C'=|-3-5|=8units

Scale factor:-

k=8/4=2

help! please! now!.............

Answers

Answer:

The answer is 133.5

Step-by-step explanation:

See the image above

So if I have 6,000 dollars and I need 20,000 how much money do I need to earn to reach 20,000?​

Answers

Answer14,000

Step-by-step explanation:

20,000-6,000=14,000

Answer:14000

Step-by-step explanation:

20000 - 6000, not sure why ur doing these type of problems in highschool

What is the solution to the equation below?

Answers

Answer:

C

Step-by-step explanation:

sqrt(2 - 3x)/sqrt(4x) = 2

sqrt(2 - 3x) = 2×sqrt(4x)

now let's just square both sides

2 - 3x = 4×4x = 16x

2 = 19x

x = 2/19

Is the following relation a function yes or no

Answers

It's function of sinus

...........

-4x + 3y = 29
5x + y = -3
solve by substitution

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

y = 7x = -2

Explanation:

-4x + 3y = 29 __ equation 15x + y = -3

make x the subject in equation 2,

5x + y = -3

y = -3 - 5x __ equation 2

using substitution method,

-4x + 3(-3 - 5x) = 29

-4x -9 -15x = 29

-19x = 38

x = -2

Find y,

y = -3 - 5x

y = -3 - 5(-2)

y = 7

Hello, the point (-2,k) lies on the line. Determine the value of k. please answer this. ty

Answers

Answer:

0

Step-by-step explanation:

This problem is impossible if the x value is -2. However, if the x value is 2, find where the line meets x=2 and record the y value.

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

Answers

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]

It is required to find the missing value in the second equation.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)

[tex]\rm 6x+3y=12[/tex] ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

brainly.com/question/11897796

wich one' is the right answer need help

Answers

Answer:

C

Step-by-step explanation:

because density equal all the rest

a + b =c a + b + c = 36 given that a and b have the same value what is a,b and c

Answers

Answer:

a = 9    b = 9    c = 18

Step-by-step explanation:

a+b = c

a+ b + c = 36        but we know   a+b = c   sub that in

  c    + c = 36

       c = 18             now  a + b = c    and a and b are the same

                                   so  a and b are = 9

Answer:

a is 9

b is 9

c is 18

Step-by-step explanation:

Let's list the information provided

a + b =c

a + b + c = 36

a=b

Knowing that a=b we can replace b with a in the equations

a+a is the same as 2a since a is being doubled

2a=c

Knowing this we can replace c with 2a

2a+2a=36

Now solve for a

[tex]2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9[/tex]

Now let's sub this value of a into the equations to see what the other values are

a=b

9=b

2a=c

2(9)=c

18=c

find the highest common factor (HCF) of 30 and 45

Answers

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

     3    30         45

      5    10          15

            2             3

3 × 5 = 15

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

PLEASE HELP ME! THERE IS A PICTURE

Answers

B. 1/40…. You divide 1/2 by 20 to find out how much hand sanitizer was used on each desk. You can keep change flip meaning keep the 1/2 change the division to multiplication and flip the 20 to 1/20 then multiply. 1/2 by 1/20 which equals 1/40.

Answer:

I think 10

letter C.

Step-by-step explanation:

divide *2

write -5 as a logarithim with a base of 4

Answers

Answer:

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Step-by-step explanation:

[tex]log_b(a) = c[/tex] ↔ [tex]b^c = a[/tex]

You are given [tex]b[/tex] = 4

You re also given [tex]c[/tex] = -5

To find a, use the exponential form:

[tex]b^c = a[/tex]

[tex]= (4)^{-5} = \frac{1}{4^5} = a[/tex]

Then you can convert into a logarithm.

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Answer:

There are multiple ways of writing this:

[tex]\sf -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)[/tex]

Step-by-step explanation:

Log rule:  [tex]\sf log_a(a)=1[/tex]

[tex]\sf \implies log_4(4)=1[/tex]

[tex]\sf \implies -5log_4(4)=-5[/tex]

Log rule:  [tex]\sf c \cdot log_ab=log_a(b^c)[/tex]

[tex]\sf \implies -5log_4(4)=log_4(4^{-5})[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{4^5}\right)[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{1024}\right)[/tex]

David’s family is driving from New York to Florida. They know the distance they will travel is about 1100 miles. If a map has a scale of 1 in. = 80 mi, about how far will the trip be on the map? StartFraction 8 over 110 EndFraction inches 11 inches 13 and three-fourths inches 88 inches.

Answers

Answer:

  13 and three-fourths inches

Step-by-step explanation:

The map distance can be found using a proportion with the map scale.

__

  map distance / (1100 mi) = (1 in) / (80 mi)

  map distance = (1100×1)/80 in = 13 3/4 in . . . multiply by 1100 mi; cancel mi

The trip will be about 13 3/4 inches on the map.

Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell for $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
How much does each rashguard cost at full price?

Answers

Original price be x

Discount price be y

The equation is

y=x-5

So

y=3(x-5)60=3x-153x=75x=25$

Answer:

3(f - 5) = 60

$25

Step-by-step explanation:

Let f = full price of rash-guard

Given:

during the sale, rash-guards sell for $5 less than full pricecost of 3 rash-guards during sale is $60

Therefore, the equation you can use to find how much money each rash-guard costs at full price is:

3(f - 5) = 60

To calculate the full price of the rash-guard, solve the equation for f:

⇒ 3(f - 5) = 60

Expand:

⇒ 3f - 15 = 60

Add 15 to both sides:

⇒ 3f = 75

Divide both sides by 3:

⇒ f = 25

Therefore, the full price of each rash-guard is $25.

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Answers

Step-by-step explanation:

For question 22: Notice the congruent symbol on sides AB and CB; this shows that the triangle is isosceles, and in an isosceles triangle, the angles opposite congruent sides are congruent. Thus, angle A actually equals angle C.

In other the find B, it is know that all of the interior angles of a triangle must add to 180; thus, this can be written as: angle A + angle B + angle C = 180.

Since you already know angles A and C, subtract angle A and angle C from 180 to get angle B.

For question 23:

Notice that triangle DBC is an isosceles triangle, and that angle D and angle C are opposite of congruent sides, indicating that they are equal. Since the interior angles of a triangle must add up to 180, and you know that angle D equals angle C, you can find angle DBC by doing 180 - (2 * angle D).

Now that you have angle DBC, you can find angle CBA; since these two angles form a straight line, you know they must add to 180 degrees. Thus, 180 - angle DBC equals angle CBA.

Now, notice that triangle CBA is also isosceles, and that angles CBA and angle A are opposite congruent sides, indicating that they are also congruent. Thus, angle A equals angle CBA.

Hope this helps :)

F(x)=x^2
G(x)=x^2-8x+16
In which direction and by how many units should f(x) be shifted to match g(x)?

Answers

Answer:

  4 units right

Step-by-step explanation:

The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.

  g(x) = (x -4)²

Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.

  f(x) should be shifted right 4 to match g(x)

_____

Additional comment

The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.

What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.
A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet. i need help

Answers

Answer:

The volume is approximately 13 1/8 feet.

Step-by-step explanation:

Volume of a rectangular prism is calculated by multiplying the width, length, and height together.

3.5w × 2.5l × 1.5h = 13.125

13.125 = 13 1/8. The fraction cannot be reduced any further, so this is its simplest form.

SOOO CLOSEE TO BEING DONEEEE helppppp

Answers

[tex]423 \times 10 {}^{2} [/tex]

[tex]2 \times 10 {}^{3} [/tex]

[tex]92 \times 10 {}^{5} [/tex]

[tex]4 \times 10 {}^{3} [/tex]

[tex]80 \times 10 {}^{6} = 8 \times 10 {}^{7} [/tex]

[tex]32 \times 10 {}^{9} [/tex]

Answer:

4.23*10^4

2*10^3

9.2*10^7

4*10^3

8*10^7

3.2*10^10

The relative frequency of Event A in an experiment is 13.


If the experiment is performed 30 times, how many times should you expect Event A to occur?


Enter your answer as a number, like this: 42


!!PLEASE HELP ME IM NOT GOOD AT MATH AT ALL!!

Answers

Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

How many times should Event A occur?

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

Find out more on relative frequency at https://brainly.com/question/3857836.

Please help i need quick answers

Answers

We see that 24 is split into 8q.

Therefore 8q equals 24 --> 8q = 24 --> q = 24/8 = 3.

So q = 3.

Hope it helped!

what are the slope and y - intercept of the equation 6x+3y=-12

Answers

Answer:

Slope= -2

y-intercept= -4

Step-by-step explanation:

To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.

[tex]\textcolor{steelblue}{\text{Slope-intercept form}}[/tex]

y= mx +c, where m is the slope and c is the y-intercept

Given equation: 6x +3y= -12

Let's leave the y term on the left of the equation and bring the rest to the right.

3y= -6x -12

To ensure that the coefficient of y is 1, divide both sides by 3.

y= -2x -4

The equation is now in the slope-intercept form.

The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.

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