Think about the 30-60-90 triangle you explored in Sem 1 and reviewed at the beginning of this semester. Each member of your team will explore a different 30-60-90 triangle. In alphabetical order (by first name), the length of the side opposite the 30 degree angle is 2, 3, 4, and 5. If there are only 3 team members, then use the first three lengths. Use your knowledge of this special right triangle to identify the lengths of the other leg and the hypotenuse. Leave your answers in radical form. Provide a sketch that indicates the angle measures and the lengths of the sides, the sine, cosine and tangent of the 30 degree space a n d space 60 degree space a n g l e s.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

what graph

step-by-step explanation:

answer: apothems is your answer

step-by-step explanation: hope u get it right

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: