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3 years ago

What is the definition of parallel lines?

1 answer:

3 0

<span>Parallel lines are two lines that are always the same distance apart and never touch. In order for two lines to be parallel, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. Any line that has the same slope as the original will never intersect with it.
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A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on top, where the radius o

Aleks04 [339]

Answer:

about 10.24 ft

Step-by-step explanation:

The formula for the volume of a cylinder is ...

V = πr²h . . . . where h is the height and r is the radius

The formula for the volume of a sphere is ...

V = (4/3)πr³ = πr²·(4/3r) . . . . equivalent to a cylinder of height 4/3r

We have a cylinder of height 3d = 3(2r) = 6r. It has half a sphere on top, so the equivalent height of that is (1/2)·(4/3r) = 2/3r.

Then our total volume is equivalent to a cylinder with radius r and height (6 2/3)r = (20/3)r. That is, ...

22,500 ft³ = πr²·(20/3)r = (20π/3)r³

Multiplying by the inverse of the coefficient of r³, then taking the cube root, we have ...

r = ∛(22,500·3/(20π)) ft ≈ 10.24 ft

The radius of the silo should be about 10.24 feet.

4 0

3 years ago

Read 2 more answers

A mountain trail will cover 4,855 feet vertically over a horizontal distance of 17,625 feet.

Oduvanchick [21]

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5 0

2 years ago

a family wants to rent a car to go on vacation. Company A charges $35.50 and 8 cents per mile. Company B charges $75.50 and 18 c

Evgesh-ka [11]

Answer: $40 and 10 x cents.

Step-by-step explanation:

$75.50 and 18 cents - $35.50 and 8 cents = $40.00 and 10 cents per mile. For x miles, we multiply $40.00 and 10 cents by x miles.

Also, we could convert dollars to cents by multiply it by 100 Since $1 =100 cents.

7568 - 3558 cents = 4010 cents. For x miles, 4010X cents.

6 0

3 years ago

Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit

horsena [70]

Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = $\dfrac{60}{2.8} customer/Hour$

Now, use the below formula to find the system utilization.

System utilization = $\dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}$

System utilization = $\dfrac{15}{ \dfrac{60}{2.8}}$

System utilization = 0.7 or 70%

5 0

3 years ago

Is (1, 3) a solution to the system of inequalities below?

Oxana [17]

<h3>Substitute and Check:</h3>

$y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false$

<h3>We can stop here and conclude that ( 1 , 3 ) is not a solution to this system, since it does not even satisfy the first equation, but check for the other one just in case:</h3>

$y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false$

8 0

2 years ago