Solve the formula V = 1/3b^2 h for b.

Answers

Answer 1

Answer:

[tex]b=\sqrt{\frac{3V}{h}}[/tex]

Step-by-step explanation:

To solve a formula for one of its variables do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equals 1

Let us use these steps to solve our question

∵ V = [tex]\frac{1}{3}[/tex] b²h

→ Underline b

∴ V = [tex]\frac{1}{3}[/tex] h

→ Multiply both sides by 3 to cancel the denominator on the right side

∴ 3V = h

→ Divide both sides by h to move it to the other side

∴ [tex]\frac{3V}{h}=b^{2}[/tex]

→ To find b take √  for both sides

∴ [tex]\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }[/tex]

→ The square root will cancel the power 2 of b

∴ [tex]\sqrt{\frac{3V}{h}}=b[/tex]

→ Switch the two sides

∴  [tex]b=\sqrt{\frac{3V}{h}}[/tex]


Related Questions

what is the mean of these numbers
5
4
1
8
5

Answers

Answer:

4.6

Step-by-step explanation:

to find mean you add up all the numbers then divide by how many numbers there are. 5+4+1+8+5= 23   Since there are 5 numbers you divide 23 by 5 which equals 4.6

An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.

Answers

Answer:

5 gigabytes

Step-by-step explanation:

gb = gigabytes

bill - monthly service charge = gigabytes only bill

gigabytes only bill divided by charges per gigabyte = gb of data used

78 - 18 = 60

60 divided by 12 = 5

18

78

monster helping overcome essay.

Answers

Answer:

OK Heres a story but dont expect me to do more stuff like this k rate five stars pls and thanks  

Step-by-step explanation:

Once upon a time i was laying in bed on my phone then i herd i noise in my closet so i got up out of bed and looked in the closet and nothing was there.Then i decided to go to sleep because it was getting late than while i was sleeping i woke up to a weird noise like a growl. That's when i saw it the monster he ran when i saw him or her. The  i found him hiding in the same closet i heard the weird noise.Ten i realized he was just a little scared monster. He was probibly more scared than i was i thought to my self. I asked him are you ok? he didint repliy i told him my name and he looked like he felt better so i gave him a snack sice i thought he was hungry. he gobbled it up really fast than i asked him or her whats you name? There was no repliy. Then i realized they didin't speak english. but i wanted them to be happy so i showed the little monster some of my toy cars i ad around my room he was entertained so i thought we could be freinds and we did The end.

What is the slope of the line in the graph?
5
4
3
2
1
-54-3
-1
1
2
3
5
X
2
3
5

Answers

Answer:

Slope = 1

Equation: y= 1x + 1 or y= x + 1

Step-by-step explanation:

The slope is one because the rise over run from point (-1,0) to (0,1) is 1/1, and 1/1 is equal to 1. This means in the form y=mx + b the slope would be put in for m. y= 1x + 1. The plus one is because the line crosses the y axis at y = 1. When you are writing the equation technically you do not need to write it as y= 1x +1 you can just do y = x + 1 because there is only 1 x.

What is the value of 3 to the power 2 over 3 to the power 4?

1 over 81
1 over 27
1 over 9
1 over 3

Answers

Alright so. 3^2= 9 (since 3 x 3=9), and 3^4=81 (since 3 x 3 x 3 x 3=81).
This gives you
9/81. From here you can simplify. First, find the GCF, which here is 9. Then divide both the top and bottom by 9. 9/9=1. 81/9=9.
So, simplified, this is 1/9, or 1 over 9.

Hope this helps!!

Answer:

1 over 9

Step-by-step explanation:

3^2= 9 =1

3^4= 81 =9

Ans:1over9

4.5(8-x)+37=103-2.5(3x+24)

Answers

Answer:

x= -10

Step-by-step explanation:

Answer:

If i did it right...im not sure if i did...but it should be: - 2.5 = x

Step-by-step explanation:

4.5 (8 - x) +37 = 103 - (7.5x + 60)

(36 - 4.5x) + 37 = 103 - (7.5x + 60)

     + 4.5x                   + 4.5x

36 + 37 = 103 - (12x + 60)

73 = 103 - (12x + 60)

- 103  - 103

-30 = -12x - 60

+ 60         + 60

30 = - 12x

/-12    /-12

- 2.5 = x

GIVING BRAINLIST ON TIMER

Answers

✏️VOLUME

Solution:

Figure #1.

Since the given is a rectangular prism, use the formula:

V = lwh

Where:

l - lengthw - widthh - height

Given:

l = 15 in.w = 6 in.h = 8 in.

» Substitute the givens on the formula.

V = lwhV = (15 in.)(6 in.)(8 in.)V = (90 in.²)(18 in.)V = 1 620 in.³

Therefore, the volume of the rectangular prism is 1 620 in.³

Figure #2

Since the given a cube, use the formula:

Where:

e - edge

Given:

e = 9 in.

» Substitute the given on the formula.

e³(9 in.)³(9 in.)(9 in.)(9 in.)729 in.³

Therefore, the volume of the cube is 729 in.³

Figure #3

Since the given is a cylinder, use the formula:

V = πr²h

Where:

π - pi (3.14)r - radiush - height

Given:

r = 8 in.h = 14 in.

» Substitute the givens on the formula.

V = πr²hV = (3.14)(8 in.)(14 in.)V = (25.12 in.)(14 in.)V = 351.68 in.³

Therefore, the volume of the cylinder is 351.68 in.³

Answer:

Number #1

1 620 in.³

Number #2

729 in.³

Number #3

351.68 in.³

•••••••••••••••••••••••••••••••••••••••••••••••••

#CarryOnLearning

The ratio of children to adults at a play is 2:3. The ratio of children under 10 to those over 10 is 7: 3. What % are younger children?

Answers

Answer:

28%

Step-by-step explanation:

Let number of children be 2x, then number of adults be 3x

Total number is 5x

Let number of children under 10 be 7y, number of children be 3y,

then total number of children is 10y

so 2x = 10y, x = 5y, y/x = 1/5

younger children = children under 10, number is 7y

so the % is 7y/5x = 7/5 * y/x = 7/5 * 1/5 = 7/25 = 28/100 = 28%

what is the midpoint between (-1,4) and (7,12)

Answers

Step-by-step explanation:

solve accordingly to the picture

If x equals 8 - (-2.25) and y equals 6 - 4.2 - (-4.9), what is the value of x - y?

Answers

Answer:

3.55

Step-by-step explanation:

This is simply combining like terms.

First, lets evaluate the terms separately.

x = 8 - (-2.25)

x = 8 + 2.25 (Negative signs cancel out)

x = 10.25 (Combine like terms)

y = 6 - 4.2 - (-4.9)

y = 6 - 4.2 + 4.9 (Negative signs cancel out)

y = 6.7 (Combine like terms)

Now, lets plug in these values to x - y.

(10.25)  - (6.7)

3.55

The value of x - y is equal to 3.55.

Based on the information in the table, is the cost of the apples proportional to the weight of apples?
A pound of apples:
2
3
4
5
Cost of apples:
$3.76
$5.64
$7.52
$9.40

Answers

Answer:

I think it is the 3.76 I am 85%sire

Answer:

YEAH IT IS :D

Step-by-step explanation:

First you need to get 1 pound. 2 pounds is 3.76 divide it by 2 and get 1.88. Multiply it by so you can get 3 pounds: 1 x 3 = 3 pounds. 1.88 x 3 is 5.64. Now to get 4 pound you add 1.88 again to 3 pounds to add a pound and you get 7.52. Now add 1.88 to 4 one more time to get 5 pounds: 4 + 1 = 5 pounds. And 7.52 + 1.88 = 9.40. Now you checked the whole table and they are right so yes it is proportional to the weight of apples!

Can anyone tell me why I got this wrong?

-3(x+2)>15 or x-3 ≤ -1
my answer was ( -7, 2 )

The options are
A. ( - infinity, 2)
B. (-7, -2)
C. [ - 7, infinity)
D. ( -7, 2)

Answers

Answer:

The answer should be A. [tex]x \in (-\infty,\, 2)[/tex].

Step-by-step explanation:

Start with the second inequality, which is more straightforward than the first. Add [tex]3[/tex] to both sides of this equation to separate [tex]x[/tex] from the numbers:

[tex]x - 3 + 3 \le -1 + 3[/tex]. The direction of the inequality sign shall stay the same.

[tex]x \le 2[/tex].

On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by [tex](-3)[/tex]. However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.

Because [tex](-3)\![/tex] is a negative number, dividing both sides of the first inequality inequality by [tex](-3)[/tex] will turn the "greater-than" sign into a "less-than" sign.

The inequality used to be:

[tex]-3\, (x + 2) > 15[/tex].

After dividing both sides by the negative number [tex](-3)[/tex], it becomes:

[tex]\displaystyle \frac{(-3)\, (x + 2 )}{(-3)} < \frac{15}{(-3)}[/tex].

[tex]\displaystyle (x + 2) < -5[/tex].

[tex]x < -7[/tex].

The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that [tex]x < 2[/tex] is true whenever [tex]x <-7[/tex] is true. Therefore, any real number that is smaller than [tex]2[/tex] will meet the requirements- not just those that are smaller than [tex](-7)[/tex].

The corresponding interval will be [tex](-\infty,\, 2)[/tex].

A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank.

How many gallons of water are in the fish tank? HURRY PLS :(

Answers

Answer:

90090090 quarts to fill the fish tank

How do I find the value of X

Answers

Answer:

x = 12

Step-by-step explanation:

ΔABC is a right triangle, therefore we can use Pythagoras' Theorem to find the value of x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Therefore,

a = xb = 16c = 20

Substitute these values into the equation and solve for x:

⇒ x² + 16² = 20²

⇒ x² + 256 = 400

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = √(144)

⇒ x = ±12

As length is positive, x = 12 units (only)

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50.

Which value could replace x on the table?

(4 – g) 1.5
(4 – g) + 1.5
4g – g(1.5)
(4 – g)g

Answers

Answer:

A (4-g)1.5

Step-by-step explanation:

hope this helps if you need a explanation just ask in the comments and I will.

What is the area of the parallelogram shown below?


A.
B.
C.
D.

Answers

The area of the parallelogram is base times height

base: 8 cmheight: 4 cm

Thus the area = 8 * 4 = 32 square centimeters or choice (c)

Hope it helps!

Solve the equation 3/5(x-10)=18-4x-1

Answers

Answer:

x=5

Step-by-step explanation:

pls heart and give brainliest

1. Simplify both sides of the equation

3/5 (x−10) = 18 − 4x − 1 ( 3/5 )(x) + ( 3/5 ) (−10) = 18 + − 4 x + − 1 (Distribute)

3/5x + − 6 = 18 + − 4x + − 1 3/5 x − 6 = (−4x) + (18+−1) (Then Combine Like Terms)

3/5 x−6=−4x+17 3/5 x−6=−4x+17

2. Add 4x to both sides

3/5 x−6+4x=−4x+17+4x 23/5 x−6=17

3. Add 6 to both sides

23/5 x−6+6=17+6 23/5 x=23

Step 4: Multiply both sides by 5/23.

( 5/23 )*( 23/5 x)=( 5/23 )*(23)

x = 5

Therefore the answer to this equation is "x = 5"

How do I find the left side of BC

Answers

"bc is twice half of angle D"

How many lines of symmetry does the picture have ?

Answers

Answer:

A. 3

Step-by-step explanation:

Salamat po ikaw na pong bahala kung Tama po

Select the three measurements that could be side lengths that form a right triangle.

Answers

Answer:

61^2=60^2 +11^2

3721=3600+121

11,60 ,61

Cindy is driving 345 miles. She put 16 gallons in her car to fill it up. What is her average MPG?
21.5
16
18.75
20

Answers

Answer:

MPG is miles per gallon so we just need to divide the miles by the gallons

345/16=21.56

so i guess a?

i mean thats rounded wrong but its the closes one

a

Hope This Helps!!!

Tutorial
A cylinder has a height of 17 centimeters and a radius of 15 centimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Volume of the cylinder is 12016.5 cm³

[tex] \\ [/tex]

Step-by-step explanation:

Using formula:

[tex] \: \: \: \: \: \: \: \: \: \: {\underline{\boxed {\pmb{ \sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star [/tex]

[tex] \\ [/tex]

Where,

Height of cylinder is 17 cmRadius of the cylinder is 15 cm.Value of π = 3.14

[tex] \\ [/tex]

Substituting the required values in the above formula :

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \: \: Volume = 3.14 \times {(15)}^{2} \times 17 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 225 \times 17 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Volume = 706.5 \times 17 \\ \\ [/tex]

[tex]\dashrightarrow~~{\boxed {\pink{\pmb{\sf {Volume = 12016.5 \: {cm}^{3}}}}}} \\ \\ [/tex]

Hence,

Volume of cylinder is 12016.5 cm³

Answer :

12000 cm³

Explanation :

We know,

[tex]{ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}[/tex]

Where,

r is the radius of the cylinder. Here, the radius is 15 cm .

h is the height of the cylinder. Here, height is 17 cm

Here, we will take the value of π as 3.14 approximately .

Substituting the values in the formula :

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({15})^{2} \times 17 \: }}}}[/tex]

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \: \times 225 \times 17}}}}[/tex]

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 3825 }}}}[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf{ Volume_{(cylinder)} = 12010.5 }}}}[/tex]

Therefore,

The volume of the cylinder is 12000 cm³ . (Rounded to nearest hundredth)

A rectangular prism with a volume of 10 cubic units is filled with cubes with side length of 1/2 unit

Answers

Solution:

We know that:

[tex]1. \space\ V_{Rectangular \space\ prism} = 10 \text\] units^{3}\\\\2. \space\ L_{Small \space\ cube} = \frac{1}{2} \space\ units\\\\ 3. \space\ V_{Small \space\ cube} = L ^{3}[/tex]

Step-1: Find the volume of the small cube.

[tex]V_{Small \space\ cube} = L ^{3}[/tex]

[tex]V_{Small \space\ cube} = (\frac{1}{2}) ^{3}[/tex]

[tex]V_{Small \space\ cube} = (\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})[/tex]

[tex]V_{Small \space\ cube} = \frac{1}{8} \space\ units^{3}[/tex]

Step-2: Divide.

[tex]\frac{10}{\frac{1}{8} }\\\\ \Rrightarrow(10)(8)\\ \\ \Rrightarrow 80[/tex]

Hence, 80 cubes can be fit in the rectangular prism.

volume of rectangular prism = 10 units³

volume of each cube = [tex]\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} = \frac{1}{8} units^3[/tex]

required cubes = [tex]\frac{10}{ \frac{1}{8} }= 80[/tex]

People attending a basketball game either supported the home team or the visiting team. If 576 of the people attending supported the home team and 1224 supported the visiting team, what percentage supported the home team?

Answers

Answer:

32%

Step-by-step explanation:

1224 + 576 = 1800

100% = 1800

1% = 18 (divide by 100)

576 / 18 = 32

32% = 576

Answer:

32%

Step-by-step explanation:

576+1224=1800

576/1800=32/100

32%

Really need help with this problem

Answers

Answer:

(-1, 6)

Step-by-step explanation:

f(x) = g(x) this means when they intersect

Please help I'll mark brainliest ​

Answers

Answer:

The correct answer is 2:1 :)

Answer:

4:2

Step-by-step explanation:

100 POINTS AND BRAINLY I NEED THIS ANSWER IMMEDIATLY!!

Answers

Step-by-step explanation:

SORRY FOR MESSING WITH YOU MATE

HERE YOU GO

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.

Select from the drop-down menu to correctly complete the statement.

The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.

Correct answers:

1

45 oz less than

solve: |x-1|=1
can someone help fast im confused

Answers

Answer:

The equation has two answers

X = 0

X = 2

Step-by-step explanation:

The answer is absolute value or positive or negative, So it is

[tex] |x - 1| = 1[/tex]

[tex] |x - 1| = - 1[/tex]

We solve the equations and the answer is obtained

Hey there!

|x - 1| = 1 


TRANSLATE:

x - 1 = 1 or x - 1 = -1


SOLVING for: x - 1 = 1

x - 1 = 1

ADD 1 to BOTH SIDES

x - 1 + 1 = 1 + 1

CANCEL out: -1 + 1 because it give you 0

KEEP: 1 + 1 because it help solve for the current x-value

NEW EQUATION: x = 1 + 1

SIMPLIFY IT!
x = 2

Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x - 1 = -1

x - 1 = -1

ADD 1 to BOTH SIDES

x - 1 + 1 = -1 + 1

CANCEL out: -1 + 1 (the LEFT SIDE) because it give you 0

KEEP: -1 + 1 (the RIGHT SIDE) because it give you the current x-value

NEW EQUATION: x = -1 + 1

SIMPLIFY IT!
x = 0

Thus, your answer is: x = 0

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your overall answer is:

x = 2 or x = 0


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Evaluate whether each value makes a true or false statement.

5. k+ 6 ≥ 19, if k = 11


True

False

Answers

Answer:

False.

Step-by-step explanation:

Let's just plug in k, there's no easier way to do it really. 11+6 ≥ 19. Is 17 ≥ 19. No, it isn't. For future problems like this, just plug in the variable if you have it.

Answer:

False

Step-by-step explanation:

The area of a triangle is 64 in2. The base of the triangle is twice as long as the height. The base of the triangle is and the height of the triangle is

Answers

Answer:

Step-by-step explanation:

Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.

Other Questions
Describe the Water Cycle in at least 3 sentences. Which best describes the Democratic Party in the 1800s? Describe this manhattan image . Please help me find the equation xx A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $1.00 each.Write an equation in slope-intercept form to model the cost in dollars, y, for x refills. I have 41 brainliests when I look at my account but when I look at my home page it says I only have 30 and yesterday it said I had 38/50 and now it says 30/50 and it keeps going down every time I get a new Brainliest, so does anyone know why? What is the image point of (3, 7) after a translation right 5 units and up 1 unit? the distance between the school and the library is 3 miles. About how many yards apart are the school and the library 1. According to Newton's Third Law of motion, what are the two forces that interact called? DNA: TAC-GGC-ATA-GCA-TTT-CAC-TAA What is the complementary DNA sequence for the DNA strand above? Please help asap! I will gave brainlest! Which lifestyle choices lead to good health? Check all that apply.smoking tobaccoeating foods high in sugarexercising dailyeating a balanced dietavoiding tobacco 21.Ify= 1+x, findxdy./dx Raymond bought a used truck for $18,800. If the sales tax in his state is 7 percent, what was the final price for his car? (50 POINTS) What is the sum of the interior angles of this traffic sign? Which phylum contains the common mushrooms that are eaten by people?. Which polynomial function could be represented by the graph below? PLS HELPPP ASAP I WILL GUVE BRAINLIEST Why do you think Southerners left Lincolns name off the ballot in 1860? -6(6x+8)= -10 simplified