Answer:
θ = 18°27'
Step-by-step explanation:
As the hint says, you need to calculate CE using the triangles ΔABC and ΔBDE.
Using segment addition, CE = CB + BE. So first use trigonometry to find these segments.
First, let's find CB.
sin 22° = CB / 4.882
CB = 1.8288
Next, let's find BE.
cos 22° = AB / 4.882
AB = 4.5265
BD = AB − 1.975
BD = 2.5515
tan 48° = BE / BD
BE = 2.8337
Now we can find CE and θ.
CE = CB + BE
CE = 4.6626
cos θ = CE / 4.915
θ = 18.443°
A minute is 1/60th of a degree.
0.443° × (60 '/°) = 27'
So θ = 18°27'.
Solutions
Expanded form is a spread out way to write a number by showing the value of each individual digit that contributes<span> to make the full number.
</span>
Lets use an example
Number - 4,265
= 4 x 1,000 + 2 x 100 + 6 x 10 + 5 x 1
Now lets solve for 600 in expanded form.
The number 6 is in the hundreds place
The number 0 is in the tenths<span> place
</span>
<span>The number 0 is in the One's place
</span>
Therefore 600 in expanded form is 600+00+0<span>.</span>
Answer:
1) Congruent
2) Alternate exterior angles
3) 15x = 12x + 15
4) x = 5
Hope this helps!
Answer:
11
Step-by-step explanation:
z = 2; therefore, f(z) = f(2).
The letter/number inside of the bracket replaces the orginal letter, in this case w.
f(w) = 2w^3 - 5
f(2) = 2(2)^3 - 5
f(2) = 2(8) - 5
f(2) = 16 - 5
f(2) = 11
As a result, f(z) = 11