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3 years ago

How many trips can a truck with a 1 by 2 meter cylindrical tank take to fill a 890,000 liters tank?

1 answer:

4 0

Tank diameter = 1m
radius = 0.5m
height = 2m
Volume of tank of truck = πr²h = 3.142 * 0.5² * 2 = 1.571m³ = 1571 litre

Volume of tank to be filled = 890,000 litre

no. of trips = 890000/1571 = 566.52 ≈ 567 trips

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What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

frosja888 [35]

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

$y = \frac{1}{3}x$

Step-by-step explanation:

From the question, we understand that the line goes through $(2, 4), (3, 1), and\ (4, -2).$

First, we calculate the slope of the above points

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,4)$

$(x_2,y_2) = (3,1)$

$m = \frac{1 - 4}{3 - 2}$

$m = \frac{-3}{1}$

$m = -3$

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

$m_2 = -\frac{1}{m}$

Substitute -3 for m

$m_2 = -\frac{1}{-3}$

$m_2 = \frac{1}{3}$

Lastly, we calculate the equation of the line using:

$y - y_1 = m_2(x - x_1)$

The line segment has a midpoint at (3, 1)

So:

$y - 1 = \frac{1}{3}(x - 3)$

Open bracket

$y - 1 = \frac{1}{3}x - 1$

Add 1 to both sides

$y - 1 +1= \frac{1}{3}x - 1+1$

$y = \frac{1}{3}x$

Hence, the equation of the line segment is: $y = \frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

Find the values of x in this equation: x - (15/x)= 2

Nataly_w [17]

Multiply all terms by x and cancel
xx+-15=2x
x^2-15=2x simplify both sides
x^2-15-2x=2x-2x subtract 2x from both sides
x^2-2x-15=0
(x+3)(x-5)=0 factor left side of equation
x+3=0 or x-5=0 set factors equal to 0
x=-3 or x=5
hope this helps!

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3 years ago

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What is a greatest common factor (gcf)? find the gcf for the expression 3x^2 + 9x

vfiekz [6]

The answer is 3x!!!!!!!

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2 years ago

The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.

Andreyy89

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

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2 years ago

What is a Theorem? PLEASE HELP!! a A known fact. b Information that seems true but must be proven. c A definition. d A formula.

bezimeni [28]

Answer:

D. A formula

Step-by-step explanation:

If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.

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3 years ago