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3 years ago

How do you simplify that?

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Hello from MrBillDoesMath!

Answer:

- 2/3 sqrt(3)

Discussion:

8 = 4 * 2

6 = 3 * 2

sqrt(8)/sqrt(6) =

(2* sqrt(2) ) / (sqrt(2) * sqrt(3)) => (cancel sqrt(2) from num and denom)

2/sqrt(3) = (multiply num and denom by sqrt(3)

2* (sqrt(3)) / 3

= 2/3 sqrt(3)

Don't forget to add the minus sign shown in the problem statement!

Thank you,

MrB

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3 years ago

A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

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Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

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3 years ago

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

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Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

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$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

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Their total current height = 140 cm + 174 cm = 314 cm

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3 years ago