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guapka [62]
2 years ago
14

(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of

the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.

What is the volume of the container?



Enter your answer, as a fraction in simplest form, in the box.

Mathematics
2 answers:
marysya [2.9K]2 years ago
5 0
  • Side=1/2yd

Volume:-

  • side³
  • (1/2)³
  • 1/2³
  • 1/8yd³
ad-work [718]2 years ago
3 0

Answer:

\sf  V=\dfrac18\: \sf yd^3

Step-by-step explanation:

<u>Volume of a cube formula</u>

\sf V=s^3

where:

  • V = volume
  • s = edge length

Given:

  • s = 1/2 yard

\sf \implies V=\left(\dfrac12\right)^3

Apply exponent rule (\frac{a}{b})^c=\dfrac{a^c}{b^c}

\sf \implies V=\dfrac{1^3}{2^3}

\sf \implies V=\dfrac18\: \sf yd^3

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Graph each linear equation that passes through the given pair of points. Use graph paper.
Naya [18.7K]

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

6 0
3 years ago
When solving 8,411 ÷ 52, you decide to start by subtracting 100 groups of 52. What is the remainder?
IceJOKER [234]

Answer:

I think that the remainder would be 39. I am not 100% sure however.

Step-by-step explanation:

I started by doing 8411-5200 because 100 groups of 52 is 5200. I got 3211 and then divided that by 52. I got 62 r 39. Hope this helps!!

3 0
2 years ago
Read 2 more answers
Usain Bolt ran the 2012 Olympic 100-meter race in 9.63 seconds. If he runs at this rate on a road with a speed limit of 25 miles
djverab [1.8K]

Answer:

3874.5342

Step-by-step explanation:

9.63 divide by 100 = 0.0963

0.0963x40 234= 3874.5342

6 0
3 years ago
Read 2 more answers
10
Zina [86]

Answer:

on edge

Step-by-step explanation:

The tree increased in height each month until the time period between month 9 and month 11

5 0
3 years ago
Find the slope of the line containing points (1,3) (-3,-8)
Dmitry_Shevchenko [17]
Y=mx+c 
1/-3=m3/8+c 
m= 11/4
4 0
3 years ago
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