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bonufazy [111]
2 years ago
12

A cylindrical oil storage tank has a height of 10 meters and a diameter of 24 meters. If the tank is full, how much oil does it

contain? Round to the nearest tenth of a kiloliter (1 m3 = 1 kL). Use 3.14 for π.
Mathematics
1 answer:
Fantom [35]2 years ago
8 0
For this case what you should do is find the volume of the tank in the form of a cylinder.
 By definition, the volume of a cylinder is:
 V = pi * (r ^ 2) * (h)
 Where,
 h: height
 r: radio
 Substituting the values we have:
 V = 3.14 * ((24/2) ^ 2) * (10)
 V = 4521.6 kL
 Answer:
 If the tank is full, it does contain 4521.6 kL of oil
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What is an equation for the line perpendicular to y=-1/8x+6 that passes through (-3,-10)
Ainat [17]

Answer:

y = 8x + 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{8} x + 6 ← is in slope- intercept form

with slope m = - \frac{1}{8}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{8} } = 8 , then

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Gre4nikov [31]

Answer:

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A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.
Schach [20]

Answer:

Part A : <u>|x-2.5| ≤ 0.75  , x ∈ [1.75,3.5]</u>

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let  C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

<u>|x-2.5| ≤ 0.75</u>

<u>And the solve of the inequality : x ∈ [1.75,3.5]</u>

Part B:  If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

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3 years ago
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