If one leg of a right triangle is 6 units and the other leg is 8 units, what is the length of the hypotenuse. {in units}

c=10 units

Step-by-step explanation:

The Pythagorean Theorem states that a^2+b^2=c^2.

This means that the sides are represented by a^2+b^2. In order to find the hypotenuse in this problem, we substitute a and b for 6 and 8.

6^2+8^2=c^2

we do what it shows us and get:

36+64=c^2

from there, we add the left side altogether then square each side to get rid of the root.

100=c^2

√100=√c^2

and we get c = 10 units.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!