A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters

Answers

Answer 1

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.


Related Questions

I need help to find Y =

Answers

Answer:

3

Step-by-step explanation:

It’s 3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please help me with this problem

Answers

Answer:

4x² - 5x - 8 = 0

Step-by-step explanation:

Standard form of a quadratic: ax² + bx + c

Move all terms to one side and sort them based on the level of degree:

[tex]4x^2-9x-8=-4x\\4x^2-9x+4x-8=0\\4x^2-5x-8=0[/tex]

Answer:

4x^2 -5x-8 =0

Step-by-step explanation:

ax^2 + bx + c = 0 is the standard form

4x^2 -9x-8 =-4x

Add 4x to each side

4x^2 -9x+4x-8 =-4x+4x

4x^2 -5x-8 =0

show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF

Answers

Answer:

HCF is 4

LCM is 336

Step-by-step explanation:

2/28 , 48

2/14 , 24

2/7 , 12

2/7 , 6

3/7 , 3

7/7 , 1

1 , 1

HCF is 2 × 2 =4

LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336

Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?

Answers

Answer:

No, because they are parallel.

Step-by-step explanation:

The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.

It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.

Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.

So, line p and m will not intersect.

Thus the answer is " No, because they are parallel."

Answer:

Step-by-step explanation:

no, because they are parrallel.

Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II

Answers

Answer:

-irrational

-rational

-rational

-irrational

__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.

brainliest is appreciated :)

Find the equation of the linear function represented by the table below in slope-intercept form.

Help plzz will give brainiest

Answers

Answer:

y = 2x+4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( 12-6)/(4-1)

   = 6/3

    = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Using a point from the table

10 = 2(3)+b

10 = 6+b

10-6 = b

4=b

y = 2x+4

answer to this problem?​

Answers

Answer:

The p is 4

Step-by-step explanation:

Last one thanks to whoever helps

Answers

Answer:

see below

Step-by-step explanation:

take f(x)=5x-6, which is y=5x-6

switch the y for x and x for y and you get

x=5y-6

then add 6 on both sides and you get

x+6=5y

now divide both sides by 5 and you get

y=(x+6)/5

which is the inverse of the original function

Answer:

Solution given:

f(x)=5x-6

let f(x)=y

we get

y=5x-6

Interchanging role of x and y

x=5y-6

x+6=5y

y=[tex]\bold{\frac{x+6}{5}}[/tex]

so

f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]

shown

2400meters = kilometers

Answers

Answer:

2.4.....................

2.4 km ..............

help pls I need answer to question (e)​

Answers

Answer:

I assume you'd already figured out the other questions so you just don't understand the question E

Step-by-step explanation:

The product of the first 2 numbers its stating is -28 and 48, and it's asking if the product (multiply -28 by 48 to get the product) is equal to the HCF and LCM you got in the previous answer.

18. fine two consecutive odd integers whose sum is 36.

Answers

Answer:

17 and 19

Step-by-step explanation:

Let n denote the first odd integer.

If the two integers are consecutive and odd, then the second number is n+2.

Hence, n+n+2=36

=2n=34

Divide both sides by 2

=n=17

Therefore, the numbers are 17 and 19.

c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.​

Answers

Step-by-step explanation:

Hi there!

According to the question;

The sum of two number is 59. And the Smaller number is less than the bigger one by 7,

Let the bigger number be "X" then smaller number will be x-7.

Then;

x + (x-7) = 59

2x = 59+7

X = 66/2

Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.

Hope it helps!

sin 0= 20/29. Find tan 0.

Answers

Answer: D) 20/21

Explanation:

Recall that sin(theta) = opposite/hypotenuse.

sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.

Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.

Once you determine that the adjacent side is 21 units long, we can then say,

tan(theta) = opposite/adjacent = 20/21

Answer:

D. 20/21

Step-by-step explanation:

3x (x - 2) = x^2 - 4

Answers

Answer:

x = 1, x = 2

Step-by-step explanation:

Given

3x(x - 2) = x² - 4 ← distribute parenthesis on left side

3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )

2x² - 6x + 4 = 0 ( divide through by 2

x² - 3x + 2 = 0 ← in standard form

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)

The factors are - 1 and - 2 , since

- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2


= X
20
100
60

Please help me

Answers

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

9. The ticket at right has a perimeter of 42 cm.
a) Calculate the unknown side length.
A = 42 - 11 x 2 = 20 / 4 = 5
b) Olivia wishes to decorate the ticket by placing a
gold line along the slanted sides. How long is the line on each ticket?
A =
c) A bottle of gold ink will supply enough ink to draw 20 m of line. How many bottles of ink should be purchased if 200 tickets are to be decorated?
A =

Answers

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

[tex]Perimeter =2\times 11 + 4 \times L[/tex]

This gives

[tex]2\times11 + 4 \times L = 42[/tex]

[tex]22 + 4 \times L = 42[/tex]

Collect like terms

[tex]4 \times L = 42-22[/tex]

[tex]4 \times L = 20[/tex]

Divide both sides by 4

[tex]L =5cm[/tex]

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

[tex]Gold = 4 \times L[/tex]

[tex]Gold = 4 \times 5cm[/tex]

[tex]Gold = 20cm[/tex]

(c) The number of gold ink bottles.

[tex]n = 200[/tex] --- number of tickets

The length of all gold line in the 200 tickets is:

[tex]Length = 200 \times Gold[/tex]

[tex]Length = 200 \times 20cm[/tex]

[tex]Length = 4000 cm[/tex]

[tex]Length = 4000 \times 0.01m[/tex] ---- convert to meters

[tex]Length = 40m[/tex]

Given that:

[tex]Bottle = 20m[/tex] --- 1 bottle for 20 m

The number of bottles (n) is:

[tex]n = \frac{Length}{Bottles}[/tex]

[tex]n = \frac{40m}{20m}[/tex]

[tex]n = 2[/tex]

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

https://brainly.com/question/6465134

Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.

Answers

Answer:

I don't think so

Step-by-step explanation:

the length of the newspaper page=36cm

the advert will take 1/3 of the page=1/3*36=12

so the advert takes12 cm and he says it has to be 11 cm which is not right .

I hope this helps

An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?

Answers

Answer: [tex]7.48\ cm[/tex]

Step-by-step explanation:

Given

The equal side of two isosceles triangle are [tex]9\ cm[/tex] long

Base of the triangle is [tex]10\ cm[/tex] long

Median divides the base into two equal halves

from the figure, it can be written

[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]

The length of the segment is [tex]7.48\ cm[/tex]

A firework is launched into the air from ground level with an initial velocity of 128 ft/s. If acceleration due to gravity is –16 ft/s2, what is the maximum height reached by the firework?

Answers

Answer:

h = 256 feet

Step-by-step explanation:

Given that,

The initial velocity of firework, v = 128 ft/s

The acceleration due to gravity is-16 ft/s².

We need to find the maximum height reached by the firework.

The equation for the firework is :

[tex]h(t) = -16t^2 + 128t[/tex]

To find the vertex's x-coordinate, we can use  

[tex]t=\dfrac{-b}{2a}\\\\t=\dfrac{-128}{2\times (-16)}\\\\t=4\ s[/tex]

Put all the values in the expression for h (t).

[tex]h(t) = -16(4)^2 + 128(4)\\\\h(t)=256\ ft[/tex]

So, the maximum height reached by the firework is 256 feet.

Find the volume of this cone.
Use 3 for T.
12ft
12
5ft
V = Tr?
V [?]ft3
V

Answers

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

If x = a sin teta and y = b cos teta
Find the value of b^2x^2+ a^2y^2


Plssss plsss helppp

Answers

x= a sin theta y=b sin theta

[tex]\\ \sf\longmapsto b^2x^2+a^2y^2[/tex]

[tex]\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2[/tex]

[tex]\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta[/tex]

[tex]\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)[/tex]

[tex]\\ \sf\longmapsto a^2+b^2(1)[/tex]

[tex]\\ \sf\longmapsto a^2b^2[/tex]

factor 25-4z^2
im having trouble with a question

Answers

Answer:

(5-2z)(5+2z)

Step-by-step explanation:

25 -4z^2

Rewriting

5^2 - (2z)^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(5-2z)(5+2z)

reduce to lowest term. 2x^2- 18/x^2+4x-21​

Answers

Answer:

[tex]\frac{2(x+3)}{x+7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x^2-18}{x^2+4x-21}[/tex] ← factorise numerator and denominator

2x² - 18 ( factor out 2 from each term )

= 2(x² - 9) ← difference of 2 squares

= 2(x - 3)(x + 3)

and

x² + 4x - 21 = (x + 7)(x - 3) , then

= [tex]\frac{2(x-3)(x+3)}{(x+7)(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/ denominator

= [tex]\frac{2(x+3)}{x+7}[/tex]

Which value is the closet approximation of the square root of 27

A 4.5
B 5
C 5.5
D 5.9

Answers

the answer is B 5

the actual answer is 5.1 so round it down and it is 5

Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48|

Answers

Step-by-step explanation:

B ) |-12| < |-48|

because the signs are not taken on to consideration if we write in |

so hence B is right option

MARK AS BRAINLIST IF IT IS USEFUL

given the functions f(x)=3/2 and g(x)=7/3x-8/3, find(f*g)(x)

Answers

Answer:

pagal man

Step-by-step explanation:

tumko Answer Nahi Aata Padhte Likhte Nahi hoo kya

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g horizontally shifted left 3 units.
B.
The graph of h is the graph of g vertically shifted down 3 units.
C.
The graph of h is the graph of g horizontally shifted right 3 units.
D.
The graph of h is the graph of g vertically shifted up 3 units.

Answers

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is f(x) translated horizontally

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given that h(x) = g(x - 3) , then

The graph of h(x) is the graph of g(x) horizontally shifted 3 units right

Answer:

C

Step-by-step explanation:  I took the test

Match each equation with its solution


PLEASE HELPP ASAP!

Answers

Answer:

-5x = 26 is 5.2

x/2 = 4 is -8

3/2x=6 is 4

x/-7.2=4 is 28.8

Find the value of x. Round
the nearest tenth.

Answers

Step-by-step explanation:

here's the answer to your question

X = 13.7!!!!!!!!!!!!!!

3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45

Answers

Answer:

You ordered 5 tickets for a show on line...

The cost was $5 a ticket Plus a one time ordering fee of $15.

you total cost was $45 ....

Solving for x will determine the cost of one ticket

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a taxi charges $5 a mile plus $15 "pull fee" ...

you ride cost a total of $45 ... x is the number of miles that you got driven

Step-by-step explanation:

You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.

According to the question;

We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.

In essence, x is the no. of miles driven in this scenario.

By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.

Read more:

https://brainly.com/question/2319353

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