100 point to whoever answers! If segment FD = 45 units and segment DE = 60 units, what is the value of a? Round the solution to the nearest hundredth.

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

A 22.62

B 28.44

C 41.41

D 61.39

C

Step-by-step explanation:

Please see attached picture for full solution.

41.41

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta =adjacent / hypotenuse

cos a = FD/DE

cos a = 45/60

Taking the inverse of each side

cos ^-1 ( cos a) = cos ^-1 (3/4)

a =41.40962211

Rounding to the nearest hundredth

41.41

i think its a and d

step-by-step explanation:

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: