If the legs of a right triangle are 3 and 6, what is the length of the hypotenuse? round your answer to the nearest thousands if needed be

6.708

You can find this using the a^2 + b^2 = c^2 method, substituting the length of the legs for a and b, while solving for c.

6.708.

The Pythagorean theorem for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2. So the equation goes as follows.

a^2 + b^2 = c^2

(3)^2 + (6)^2 = c^2

9 + 36 = c^2

45 = c^2

C = 6.708

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct