If the area of the base of a cube is 100m, whats the volume

Answers

Answer 1

Answer:

1000 m³

Step-by-step explanation:

The base of a cube is just a square.

The area of a square is [tex]l^2[/tex], where l is the length.

Since we know the area of the base (the square) we can find l easily.

[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]

Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.

This means the height of the cube is also 10m.

Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.

[tex]10^3 = 1000[/tex]

So the volume of this cube is 1000 m³.

Hope this helped!


Related Questions

The tallest man in medical history was Robert Wadlow. He was 12 4/5times as tall as he appears in a Book of Reords photograph. He is 7 1/2 inches tall in the photograph. How tall was Robert Wadlow?

Answers

hey! your answer would be 96 inches which is eight feet!

compleate the sentance 80000 is 1/10 of

Answers

Answer:

your answer would be 8000, i hope this helps.

The complete sentence is that [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

Fraction

A fraction is a piece of another or, more broadly, a set of equal pieces. In everyday English, a fraction refers to the number of portions of a particular size, such as half, eighths, and thirds.

[tex]\boldsymbol{80000=\frac{1}{10}\times 800000}[/tex]

So, [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

Here, of denotes sign of multiplication.

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please help// geometry question pt.3

Answers

Answer:

Last one - CD with a line over it with arrowheads.

Step-by-step explanation:

Last one - CD with a line over it with arrowheads.

A ladder is leaning against the side of a 10 m house. If the base of the ladder is 3 m away
from the house, how long is the ladder? Please draw a diagram.

Answers

Answer: It depends on how you round but about 10.44 m.

Step-by-step explanation:

Round to the nearest eurocent per kilo

Answers

Answer:

2 eurocent per kilo

Step-by-step explanation:

Since we are already given the conversion units, we only simply need to divide/multiply and cancel out units.

Dollars and dollars cancel out.

We are left with eurocent.

Pounds and pounds cancel out.

We are left with kilograms.

We do want eurocent over kilograms.

0.89(0.93) = 0.8277/0.4536 = 1.82474

Since we want to round it to the nearest cent, we round up because 8 ≥ 5:

1.82474 ≈ 2

solve for x

pleaseee answer and explain <333

Answers

Hello! :)

Answer:

[tex]\huge\boxed{x = (\frac{b}{a})(P+c)}[/tex]

[tex]\frac{a}{b}x - c = P[/tex]

Solve for x:

Begin isolating the variable by adding "c" to both sides:

[tex]\frac{a}{b}x - c + c= P + c[/tex]

[tex]\frac{a}{b}x = P+ c[/tex]

Divide both sides by a/b, or multiply by the reciprocal (b/a)

[tex](\frac{b}{a}) \frac{a}{b}x = (\frac{b}{a})(P + c)[/tex]

Therefore:

[tex]x = (\frac{b}{a})(P + c)[/tex]

set up a skeletal profit and loss statement in boss dollars and percentage if your year-end profit is 7800, the profit percentage is 3.9%, and the yearly cost of your goods sold is 120000

Answers

ne s o

Step-by-step explanation:

WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!!!
Math the the sentence with an appropriate variable expression. The number of miles a plane can travel on 50 gallons of fuel.
a. x + 50
b. 50x
c. 50 ÷ x
d. 50 - x

Answers

Answer:

C.

Step-by-step explanation:

You will need to divide the miles in order to understand how much fuel

In 25 years, a bond that paid 4.75% simple interest earned $4,750 interest. What was the principal of the bond in dollars?

Answers

Answer:

$ 4000

Step-by-step explanation:

Given,

Rate ( R ) = 4.75 %

Time ( T ) = 25 years

Simple Interest ( I ) = $ 4,750

Principal ( P ) = ?

Finding the principal

We know that,

[tex] \boxed{ \sf{principal = \frac{interest \: \times 100}{ \: time \: \times \: rate} }}[/tex]

plug the values

⇒[tex] \sf{ \frac{4750 \times 100}{4.75 \times 25} }[/tex]

Calculate

⇒[tex] \sf{\frac{475000}{118.75} }[/tex]

⇒$ [tex] \sf{4000}[/tex]

Hope I helped!

Best regards!!

Answer:

2000

Step-by-step explanation:

-5, 4, -26, -48, 12 least to greatest

Answers

Answer:

hey!

Your answer is ...

-48 , -26 , -5 , 4 , `12

Step-by-step explanation:

HOPE THIS HELPED!

:)

If 5 tickets cost $3.75 how much does 1 ticket cost

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

$1.33 per ticket cost

Step-by-step explanation:

5 / $3.75 = $1.33 per 1 ticket cost

What's ∣x−2∣=∣4+x∣????

Answers

Answer:

in the chapter 7 in class 9 Ex 7.3

one time -  and second time +

Step-by-step explanation:

x-2=4+x

1) x-2=-(4+x)

  x-2=-4-x

  x+x=-4+2

  2x=-2

  x=-2/2

  x=-1

2) x-2=4+x

   =0

Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180°

x°=
(x+5)°=
5X°=​

Answers

Answer:

[tex] \boxed{ \bold{ \sf{x = 25°}}}[/tex]

[tex] \boxed{ \bold{ \sf{(x + 5) = 30°}}}[/tex]

[tex] \boxed{ \bold{ \sf{5x = 125°}}}[/tex]

Step-by-step explanation:

We know that sum of angle of triangle adds up to 180°

Finding the value of x

[tex] \sf{5x + x + x + 5 = 180°}[/tex]

Collect like terms

⇒[tex] \sf{7x + 5 = 180}[/tex]

Move 5 to right hand side and change its sign

⇒[tex] \sf{7x = 180 - 5}[/tex]

Subtract 5 from 180

⇒[tex] \sf{7x = 175}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{175}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 25°}[/tex]

Finding the value of ( x + 5 )°

[tex] \sf{x + 5}[/tex]

plug the value of x

⇒[tex] \sf{25 + 5}[/tex]

Add the numbers

⇒[tex] \sf{30°}[/tex]

Finding the value of 5x

[tex] \sf{5 \times 25}[/tex]

Multiply the numbers

⇒[tex] \sf{125°}[/tex]

Hope I helped!

Best regards!!

Answer:

x° = 25°

(x + 5)° = 30°

5x° = 125°

Step-by-step explanation:

total angle inside the triangle = 180 = x + (x+5) + 5x

180 = x + x + 5 + 5x

group like terms

7x + 5 = 180

subtract 5 each sides

7x = 175

x = 175/7

x = 25°

solve for : (x + 5)°

(x + 5)° = 25 + 5

(x + 5)° = 30°

solve for 5x°

5x° = 5 * 25

5x° = 125

check

180 = x + (x+5) + 5x

180 = 25 + (25+5) + (5*25)

180 = 25 + 30 + 125

180 = 180

If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x+15), and m cdf= 43, find each measure.

Answers

Answer:

GDE = 63

EDH = 63

GDH = 126

FDG = 74

FDH = 200

FDE = 137

Step-by-step explanation:

It is stated that DE bisects <GDH. Since bisecting means halving into equal parts, <GDE = <EDH

from the question,

<GDE = (8x-1)

<EDH = (6x+15)

Since <GDE = <EDH,

(8x-1) = (6x+15), if we collect like terms

8x - 6x = 15 + 1

2x = 16

x = 8°

Again, from the diagram, we see that

<GDH = <GDE + <EDH, thus

<GDH = (8x-1) + (6x+15)

<GDH = 8x -1 + 6x + 15

<GDH = 14x + 14, substitute for x

<GDH = 14*7 + 14

<GDH = 112 + 14

<GDH = 126°

<FDG = 180 - <CDF - <GDE

<FDG = 180 - 43 - 63

<FDG = 74°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDH = 74 + 126

<FDH = 200°

<FDE = <FDG + <GDE

<FDE = 74 + 63

<FDE = 137°

The measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

The straight angle ∠CDE, DE bisects GDH, m∠GDE=(8x-1)°, m∠EDH=(6x+15)° and m∠CDF=43°.

Here, m∠GDE+m∠EDH+m∠CDF = 180°

So, (8x-1)°+(6x+15)°+43°=180°

14x+57°=180°

14x=180°-57°

14x=123

x=123/14

x=8.8°

m∠GDE=8x-1

= 71.4°

m∠EDH= 65.6°

Hence, the measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

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in which number does the digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975

a. 676 9
b. 7.99
c. 0.73
d. 8.457​

Answers

The answer is 0.73 because in 0.975 the value of digit 7 is 7/100 ,10 times of 7/100 is  7/10 and the value of 7 in 0.73 is 7/10 ;.tenth value.

The value of each digit in a number is known as the place value. The number is 0.73. The correct option is C.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The value of digit 7 in the number 0.975 is hundredth. Therefore, the digit 7 in the number 0.975 is equal to 7/100.

Now, if the number is 10 times as great as digit 7 in 0.975. Therefore,

7/100 x 10 = 7/10 = 0.7

Thus, the number in which digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975 is the number that is at the first place after the decimal.

Hence, the number is 0.73.

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Prove the following using a direct proof:
The sum of the squares of 4 consecutive integers is an even integer.

Answers

It is proven that "the sum of the squares of four consecutive integers is an even integer" is the solution part.

To prove that the sum of the squares of four consecutive integers is an even integer, we need to show that it can be expressed as twice another integer.

Let's assume the four consecutive integers are n, n+1, n+2, and n+3.

The sum of their squares can be expressed as:

[tex]n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2[/tex]

Expanding the squares, we have:

[tex]n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9)[/tex]

Combining like terms, we simplify this expression to:

[tex]4n^2 + 12n + 14[/tex]

Now, let's consider this expression [tex]4n^2 + 12n + 14[/tex].

We can factor out 2 from each term, resulting in:

[tex]2(2n^2 + 6n + 7)[/tex]

Since [tex]2n^2 + 6n + 7[/tex] is an integer, let's denote it as k, where k is an integer.

Therefore, the expression becomes:

2k.

We have successfully expressed the sum of the squares of four consecutive integers as twice another integer (2k), which proves that it is an even integer.

Hence, the sum of the squares of four consecutive integers is an even integer.

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Find slope of the line (-3, -2) ((5, 4)

Answers

Answer:

4+2/5+3=3/4 slope

Step-by-step explanation:

sssllllooooppppeeee

i need help on this please im really confused​

Answers

Answer:

Step-by-step explanation:

Hello, you need to divide the two polynomials.

[tex]\boxed{2x^2}(x+1)=2x^3+2x^2\\\\2x^3+3x-2x^3-2x^2=-2x^2+3x\\\\\boxed{-2x}(x+1)=-2x^2-2x\\\\-2x^2+3x+2x^2+2x=5x\\\\\text{So, we can write that}\\\\\Large \boxed{\sf \bf \dfrac{2x^3+3x}{x+1}=2x^2-2x+5+\dfrac{-5}{x+1}}[/tex]

B=-2

G(x)=-5

H(x)=x+1

Thanks

please help me. Brainiest to the first answer person

Answers

Answer: 3/10

Explanation:

The probability of getting a blue is 1/10

I suppose it tells you that the total amount of balls are 10 because the denominator is 10 and the number of blue ball is 1.

But red ball is twice the white.

2W = R

Thus
2W + W = 9
3W = 9
W = 9/3
W = 3

So then there would be 3 white ball in the bag.

We can write the probability:

P(W) = 3/10

Answer:

0.3 or 30%

Step-by-step explanation:

Blue = 1/10

Red = 2 white

**************

White + red = 1 - 1/10

White +2white= 9/10

White = 3/10

Red = 6/10

So probability of white ball is 3/10 or 30%

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→1 3x x − 1 − 3 ln(x)

Answers

Answer:

3/2

Step-by-step explanation:

Given the limit of a function expressed as [tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})[/tex], we are to evaluate it. To evaluate it, we will simply substitute x = 1 into the function since the variable x tends to 1.

[tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= (\dfrac{3(1)}{1-1} - \dfrac{3}{ln1})\\\\= \dfrac{3}{0} - \dfrac{3}{0}\\\\= \infty - \infty (ind)[/tex]

Since we got an indeterminate function, we will find the LCM of the function and solve again.

[tex]= \lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= \lim_{x \to 1} \dfrac{3xlnx-3(x-1)}{(x-1)lnx}\\\\\\= \dfrac{3(1)ln(1)-3(1-1)}{(1-1)ln1}\\\\= \frac{3(0)-3(0)}{0(0)} \\\\= \frac{0}{0} (ind)[/tex]

Applying L'hospital rule;

[tex]\frac{x}{y} = \lim_{x \to 1} \dfrac{d/dx(3xlnx-3(x-1))}{d/dx((x-1)lnx)}\\\\= \lim_{x \to 1} \dfrac{3x(\frac{1}{x})+ 3lnx-3)}{(x-1)\frac{1}{x} +lnx}\\\\= \lim_{x \to 1} \dfrac{3 + 3lnx-3}{(x-1)\frac{1}{x} +lnx}\\\\= \frac{3ln1}{(1-1)\frac{1}{1} +ln1}\\\\= \frac{0}{0} (ind)[/tex]

Applying L'hospital rule again;

[tex]= \lim_{x \to 1} \dfrac{\frac{d}{dx} (3lnx)}{\frac{d}{dx} ((x-1)\frac{1}{x} +lnx)}\\\\= \lim_{x \to 1} \dfrac{\frac{3}{x} }{(x-1)\frac{-1}{x^2} + \frac{1}{x} +\frac{1}{x} }\\\\= \dfrac{\frac{3}{1} }{(1-1)\frac{-1}{1^2} + \frac{1}{1} +\frac{1}{1} }\\\\= \frac{3}{0(-1)+2}\\ \\= \frac{3}{2-0}\\ \\= 3/2[/tex]

Hence the limit of the function is 3/2.

Which of the following is one of the specific perspectives of organizational behavior? a. People as financial expenditures b. People as technology users c. People as task environments d. People as resources e. People as consumers

Answers

Answer:

d. People as resources

Step-by-step explanation:

organisational behavior is the study of human behavior in an organization, the interface between human behavior and the organization, and the organization itself. It studies layers of organisational behavior in the level of individual players in an organisation, work group of individual players in an organization, and the nature of interaction between organizations on the larger scale. One of the perspective of study of organizational behavior is to study people as  resources.

5x + 7 is a algebraic expression. it is a mathematical phrase that includes at least one variable and one operation. what is the variable​

Answers

Answer:

x is the variable

Step-by-step explanation:

The variable is the letter in the expression

x is the variable

5 is the coefficient of the variable

7 is the constant

HELP HURRY!!!! Simplify. ​15÷(2+3) Enter your answer in the box.

Answers

Answer:

It's equal =3

the answer is 3

15/(2+3)
=15/5
=3

is 0.007 and 7 over 100 equal

Answers

Answer:

No it's not equal

Step-by-step explanation:

Seven less than the product of 8 and a number is equal to 5.

Answers

Answer:

8n - 7 = 5

Step-by-step explanation:

number  -  n

product of 8 and a number    -    8n

Seven less than the product of 8 and a number  -    8n - 7.

Seven less than the product of 8 and a number is equal to 5.

8n - 7 = 5

Answer:

8n-7=5

you can do this

i cand do explaination

Find the equation of the line parallel to y= -5x-3 that passes through the point ( -5, -4). If possible, write the equation in slope-intercept form.

Answers

Answer:

y = -5x - 29

Step-by-step explanation:

y-intercept form is y = mx +b,

m is slope, for parallel line slope is the same, so m= -5

y = -5x + b

To find b, we need to use the point (-5, - 4).

- 4 = -5*(-5) + b

- 4 = 25 + b

b = - 29

y = -5x - 29

Graph the equation.
y= 1/8(x-6)(x+2)

Answers

Answer:

  see below

Step-by-step explanation:

See the attachment.

The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.

The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.

The minimum value of the function is at x=2, so is ...

  y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2

Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Reflection over the y-axis and rotation at 180 degrees around the origin

Answers

Answer:

R''(2,-3), S''(-2,-1) and T'(-1,-5).

Step-by-step explanation:

The given vertices of triangle are R(2, 3), S(-2, 1), and T(-1, 5).

Reflection over the y-axis:

[tex](x,y)\to (-x,y)[/tex]

Using this rule, the vertices after reflection are

[tex]R(2,3)\to R'(-2,3)[/tex]

[tex]S(-2,1)\to S'(2,1)[/tex]

[tex]T(-1,5)\to T'(1,5)[/tex]

Rotation at 180 degrees around the origin.

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, the vertices after reflection are

[tex]R'(-2,3)\to R''(2,-3)[/tex]

[tex]S'(2,1)\to S''(-2,-1)[/tex]

[tex]T'(1,5)\to T''(-1,-5)[/tex]

Therefore, the coordinates of vertices after the two transformations are R''(2,-3), S''(-2,-1) and T'(-1,-5).

six times a number x squared

Answers

Answer:

6x^2

Step-by-step explanation:

Because we are multiplying 6 and a number x squared, we know that x will have an exponent of 2. Then, multiplying that by 6 and using conventional algebraic techniques, we can combine the two terms together.

6 * x^2

6x^2

Answer:

[tex]\displaystyle \rm \longmapsto 6 \times x {}^{2} [/tex]

[tex]\displaystyle \rm \longmapsto {6x}^{2} [/tex]

Find the value of x. Round your answer to the nearest tenth.
x
10
Blank 1:

Answers

Answer:

12.2

Step-by-step explanation:

By Pythagoras theorem:

[tex] {x}^{2} = {10}^{2} + {7}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149} \\ x = 12.2065556 \\ x \approx \: 12.2[/tex]

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