MATHEMATICS HIGH SCHOOL

What is the length of side s of the square shown below?

Answers

Answer 1

Answer:

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer 2

Answer:

Answer:

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = $√(18)$ = $√(9(2))$ = $√(9)$ × $√(2)$ = 3 $√(2)$ → C

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What is the answer?

Answers

The answer is integers

In the following Laplace transform, how do you get rid of the cos(2at)*sin(at)?L{sin^3 (at)}
L{ sin(at) * [1/2 ( 1 - cos(2at)]}
1/2 L{sin(at)} - 1/2 L{cos(2at)*sin(at)}
1/2 * (a^2)/(s^2 + a^2) - 1/2 L{cos(2at)*sin(at)}

Answers

sin A cos B=1/2[sin(A-B)+sin(A+B)]
sin(at)*cos(2at)=1/2[sin(3at)-sin(at)]

Round 8.043 to the nearest hundredth

Answers

Rounding to the nearest hundredth would make the answer be: 8.04. Just move the digits over twice to the right and if the number is 5 or greater(for the number 3), the answer would have been: 8.05. But since it is a 3(lower than 5), then the answer would just be 8.04.
Hope this helps! :-)

It is 8.because you look at the 4 cuz it is in the hundredths place the you look at the 3 if it is 4 or less take it away if it is 5 or more add 1. It's less so take everything away that is behind the decimal

Convert 9900 pints into cups