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2 years ago

If a clock is set to Greenwich Mean Time and the Sun is observed to reach its zenith at 10:00 A.M., what is the longitude?

Mathematics

1 answer:

Rasek [7]2 years ago

3 0

Answer:

The answer to the question is

30 ° east of Greenwich Mean Time

Step-by-step explanation:

To solve this we have the given variables

Current Greenwich Mean Time = 10.00 AM

Location of the Sun at the current longitude = zenith

Supposed correct time when clock is at zenith = 12 noon or 12.00 pm

Time difference, or correction required = 10.00 a. m. - 12 p. m. = 2 hours leading

As there are 24 hours in a day one hour of the difference in time is equivalent to 360/24 or 15 ° and as the Sun is already at its zenith at the location then the location is eastwards of Greenwich Mean time that is,

15 ° × 2 = 30 ° east of Greenwich Mean Time

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c. 22/24

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2 years ago

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Whats the cube root of 3375 by prime factorization

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Step-by-step explanation:

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You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

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2 years ago