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3 years ago

Show that there is no rational number whose square is 5

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer:

Step-by-step explanation:

Take the square root of 5, which is 2.236, aka not a rational number. It doesn't come out to a whole number so therefore there is no rational solution

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Answer:

Your answer is

1. 42.5

2. 95

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2 years ago

YOU KNOW THAT THE SUM OF THE ANGLES IN A QUADRILATERAL IS 360 DECREES. HOW CAN THIS HELP YOU REMEMBER THAT THE SUM OF THE ANGLES

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2 years ago

Jon has y stickers. He uses 20 stickers and divided the remainder equally between his two sisters. find the number of stickers e

ale4655 [162]

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3 years ago

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

Find slope line through (2,-3) (5,-3)

maw [93]

Answer: the slope is 0

Step-by-step explanation: hope it helps

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2 years ago

Show that there is no rational number whose square is 5​

Show that there is no rational number whose square is 5