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dem82 [27]
2 years ago
13

grain is stored in cylindrical structures called silos which is the best estimate for the volume of a silo with a diameter of 12

.3 feet and a height of 25 feet
Mathematics
1 answer:
zalisa [80]2 years ago
8 0
Volume of a cylinder = base x height
the base is the area of the circle at the bottom. 

To find the area of a circle, you use:
A = πr²
where r is the radius of the circle. 
radius is half of the diameter, so with a diameter of 12.3, (divide that by 2) the radius of the circle is 6.15 feet. 

A = π(6.15)²
A ≈ 118.82 

Since we know the height is 25 feet, we can solve for the area of the cylinder. 

Area of the cylinder = 118.82 x 25 = 2,970.57 feet cubed
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murzikaleks [220]

Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
  • \textsf{Let }(x_2,y_2)=(0, -4)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0
1 year ago
Read 2 more answers
Yesterday, Marissa walked 1 1/2 miles from school to the ice
BigorU [14]

Answer:

2 1/6 miles

Step-by-step explanation:

1 1/2 miles + 2/3 miles = 2 1/6 miles

8 0
2 years ago
Read 2 more answers
Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. H
lord [1]

Answer: 1\dfrac13 cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

x_1=\dfrac13\  , y_1=\dfrac34 ,  y_2=3

Put these values in an equation we get

\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13

Hence, he needs 1\dfrac13 cups of pineapple juice .

8 0
3 years ago
Solve this system of equations:
SpyIntel [72]

y=2x so replacr the -y with -2x so 2x+6 is 8x. :)

7 0
3 years ago
HELP PLEASE I WILL MARK YOU AS A BRAINLIEST!!!
AnnyKZ [126]

Answer:

I believe it is 6

Step-by-step explanation:

If you think about it the opposite of 6 is -6

and the only one that is -6 is c

because it is in absolute value {6}

will be 6 but there is a negative sign which then you just bring that down and you would get -6

6 0
3 years ago
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