Answer:
44 degrees
Step-by-step explanation:
Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.
<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
</span>
11:45 ---> 01:20
11:45 + (00:15 + 01:00 + 00:20)
= 01:20
So your answer is:
01:35 which is 1 hr, 35 mins.
-5.8 - (-8.4)
When we multiply two negatives they become a positive. In this situation, where there is no other number, you can assume there's basically a 1 in that place.
-5.8 - 1(-8.4) would be just as correct. (If this helps visually clarify anything.)
So we take that -1 and multiply it by that -8.4. Multiplying 1 against anything leaves it the same, so we just need to change the sign. Two negatives make a positive.
-5.8 + 8.4
Now we add these together.
This gives us our final answer of 2.6
