A right triangle has a hypotenuse with a length of 15 units and one leg with a length of 12 units what is the length of the other leg?

9 units

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

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

Let x be the length of the other leg, then

x² + 12² = 15², that is

x² + 144 = 225 ( subtract 144 from both sides )

x² = 81 ( take the square root of both sides )

x = = 9

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: